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Interacting Drugs
|Acetaminophen, dextromethorphan, and doxylamine vs Probenecid
Security Level
|Probenecid: May increase the serum concentration of Acetaminophen. Probenecid may also limit the formation of at least one major non-toxic metabolite, possibly increasing the potential for formation of the toxic NAPQI metabolite.
|Consider therapy modification
Acetaminophen, dextromethorphan, and doxylamine vs Probenecid
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TEB Sh.A was established in 2008. It is part of the Turkish banking and financial services company TEB Group. It has 25 branches across the country as well as a network of 40 ATMs. Banking services are available for individual clients as well as SMEs and corporate clients. The range of products that it offers includes current accounts, savings accounts, time deposit accounts, loans and credit cards. Its business banking products include cash management services and trade financing.
Their head office address is: Str. Agim Ramadani, No. 15, 10000 Prishtina, Kosovo
They can be contacted by telephone: +381 (0) 38 230 123
Source: http://www.teb-kos.com/
TEB Services
Personal Banking
- Current Accounts
- Savings Accounts
- Time Deposit Accounts
- Loans
- Overdrafts
- Housing Loans
- Debit Cards
- Credit Cards
- Payment Services
- Money Transfers
Individual Investments
- Time Deposit Accounts

subset: commoncrawl


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Jackson Concert 5 String Electric Bass Guitar CBXNT V Natural w/ Indian Laurel Fingerboard
Jackson X Series Concert Electric Bass Guitar CBXNT V Natural w/ Indian Laurel Fingerboard
Your fingers take command of the compound-radius fingerboard, and you lay down a fat, definitive bass line. You're playing the Jackson CBXNT V X Series Concert Bass — and you rule the stage. It's easy to get carried away when you're rocking this well-balanced groove machine. And why not? Jackson built this axe to feel — and sound — great. The HiMass bridge delivers quick attack and robust sustain, while the Jackson single-coil pickups pump out thick, detailed bass tone with a strong fundamental.
Equipped with a combination of J-style and P-style single-coil pickups, the Jackson CBXNT V X Series Concert Bass sounds bombastic. And just like a J bass, you'll be able to create your own signature tone by blending the two pickups with their individual volume controls. Dial in just the right amount of thump and power from the P-style pickup, and the perfect amount of midrange growl from the J-style pickup, and you're in business. And to further fine-tune your tone, you've got bass, mid, and treble controls at the ready.
- Body Shape: X Seriese Concert
- Left-/Right-handed: Right-handed
- Number of Strings: 5
- Color: Natural
- Body Material: Poplar
- Body Finish: Gloss
- Neck Material: 1-piece Maple
- Neck Shape: Thin U
- Radius: 12"-16" compound
- Fingerboard Material: Indian Laurel
- Fingerboard Inlay: Pearloid Sharkfins
- Number of Frets: 24, Jumbo
- Scale Length: 35"
- Nut Width: 1.75"
- Nut Material: Plastic
- Bridge/Tailpiece: Jackson HiMass
- Tuners: Jackson sealed Die-cast
- Neck Pickup: Jackson P-style Split Single-coil
- Bridge Pickup: Jackson J-style Single-coil
- Controls: 2 x volume, 3-band active EQ
- Case: Sold separately
Original Retail Price (msrp) - $816.31
The guitar had a finish flaw professionally repaired by an authorized technician. Though the repair may still be visible to some degree it could not be located or visible enough for photos. Otherwise, it is in like new mint condition. Save Big!
More Info: This is a refurbished instrument. These guitars are sent directly from the manufacturer to the authorized refurbishing center where they are fully inspected and cleared by a certified technician. The guitars are sent there for many reasons, including: Cosmetic flaws, Minor repairs & Discontinued or Last Years Models.
Most of the Instruments that we sell have no flaws or repairs. For any that do, we will describe the flaw or repair in the listing and include a photo if it is visible. Item specifics may very from stock description. "The actual guitar for sale is shown in the photographs"
All of our guitars come with a new standard factory setup, but may require a small amount of adjustments or fine tuning upon arrival to fit the players personal taste or to offset any normal changes that may occur from transit or climate. Accessories and Warranty are not included unless stated otherwise in the description however, we offer a 30 day return on every guitar. The guitars are given a new serial number and the back of the headstock is lightly stamped "used" or "2nd" by the authorized refurbishing center. These guitars are the next best thing to buying new!


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Millions of engaged couples turn to WeddingWire as their trusted wedding resource, with the largest directory of local wedding vendors in Vassalboro. Easily find the best wedding services in your area with detailed vendor reviews, prices and availability for your wedding day.
"We Bake Memories" Heavenly Delights Bakery was established in 2001. We strive to make high quality treats at an affordable rate. Heavenly Delights bake high quality goods made in small batches. No mass-producing here. Just like you would make in your own home kitchen. What makes us even more... (Wedding Cakes Vassalboro)
Rocky Tejeda Photography, based out of Waterville, Maine, specializes in wedding and portrait photography. Owner and photographer Raquel Tejeda is available for destination weddings and has traveled near and far to capture the unique moments that make up a couple's special day. Raquel finds love... (Wedding Photographers Waterville)
Ben Wheeler Photography is a wedding photographer based in Waterville, Maine. Ben is willing to travel. He also prides himself in being a visual storyteller. He wants to capture the moments that will re-create memories for years to come. His style is colorful and fun; he makes sure that couples are... (Wedding Photographers Waterville)
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Behind the Vows LLC is a local independently owned wedding planning company based in Winslow, Maine, also serving the Portland area. This company delights in helping couples bring their dream wedding to life and can work with a wide range of budgets. They know that getting married is a truly... (Wedding Planners Portland)
A Maine Wedding is more than just a wedding planning service working in the mid-coast area: Sally, the lead planner at A Maine Wedding, is also an officiant able to perform civil ceremonies and vow renewals. This gives her one-of-a-kind experience and an inside look into each wedding that she works... (Wedding Planners Farmingdale)
Brittney Fairfield is a professional wedding photographer from central Maine. She uses a unique photojournalistic style to capture the true essence of your day. Brittney has years of experience behind the lens, which enables her to tell your wedding story through compelling imagery and emotions. She... (Wedding Photographers Oakland)
Sweet Thunder Productions is a Maine-based video production company operating since 2009. Conveniently located in Central Maine, Sweet Thunder travels to all points of Maine to capture your day - from the Bar Harbor Region to Western and Southern Maine, and every point in between. Reliving your... (Wedding Videographers Gardiner)
Shelley's Flowers & Gifts is a wedding florist company based out of Waldoboro, Maine. This specialty floral business has been in operation for over a quarter of a century. They are pleased to serve the entirety of the midcoast from Portland to Bangor. Venues that they serve include examples such as... (Wedding Florists Waldoboro)
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Seacoast Catering and Lobster Bakes and Sprague Point is an all-in-one catering and wedding venue located in Nobleboro, Maine. Sprague Point is set on the Damariscotta River with stunning views and the perfect place to hold your wedding. It boasts private amenities and has the advantage of on-site... (Banquet Halls Nobleboro)
Laura Cabot Catering is a professional wedding catering company based out of Waldoboro, Maine. Laura is a French-trained graduate of La Varenne Ecole de Cuisine, a culinary institute located in Burgundy, France. She is also a graduate of the Culinary Institute of America Greystone, which is based in... (Wedding Caterers Waldoboro)
Souleil is a custom design service based in both Camden, Maine and Sunapee, NH. With a backstory of a nature artist, Mauli draws inspiration and energy from the natural world in all areas of her work and is well known for her innovative and creative style. Not a fan of "trends," Mauli would rather... (Wedding Florists Camden)
Geraniums Red Delphiniums Blue is a small wedding floral studio in mid-coast Maine. We have been in the Boston wedding market for more than eight years, and will continue to service both Massachusetts and Coastal Maine. We work closely with our couples to make sure their wedding flowers reflect... (Wedding Florists Woolwich)
At Jessica Riley Events we plan every detail with you to create an unforgettable day that you will cherish forever. On your wedding day you will be able to enjoy and celebrate every moment with those closest to you while the details and planning is left to us. (Wedding Planners Camden)
Yellow Dog Production, located in Pemaquid Point, Maine, is a wedding video production and film studio with 13 years of experience. Yellow Dog services events from Bar Harbor to Kittery and the mountains of Massachusetts and New Hampshire. Couples often get caught up in the whirlwind of their big... (Wedding Videographers Round Pond)
At Flowers by Hoboken we will take your vision and bring it to life. Whether you wedding day is an over the top event or a backyard affair we can create floral designs that highlight the appropriate mood. Our creativity and attention to detail make the difference. We work with local vendors and... (Wedding Florists Rockland)
Local to Lewiston, Maine and serving the greater New England area, event planning and floral design company Sweet Pea Designs specializes in wedding coordination and unique, elegant wedding floral arrangements. Established in 2004 by owner and designer Laurie-Anne Ouellette, and composed of... (Wedding Florists Lewiston)
Your wedding day is about bringing together family, friends and everyone who has impacted your lives. Whether it's coordinating your walk down the aisle or helping with your sparkler-sendoff, I'm there to make your day stress-free and unforgettable. Packed dance floors don't happen by accident.... (Wedding DJs Lisbon)
Hello! I'm James, the owner and lead photographer here at Flax Studios. My goal is simple, for you to be comfortable and have fun on your wedding day, while I capture the moments for you to relive forever. We're going to have fun, so that when you look back at the photos, it feels natural(not... (Wedding Photographers South Thomaston)
Maine Event Design & Decor is a multifaceted event decor company in Topsham, Maine. It is owned and operated by a mother and daughter duo, Robyn and Rachael Allen. They have over 35 years of combined experience in the event design industry, offering couples not only lighting and décor rentals but... (Wedding Decor & Lighting Topsham)
BrightWorks is a creative and accommodating wedding photography team based in Spruce Head, Maine. Owner and lead photographer Steve Taylor shoots with his daughter to create a unique and timeless vision of your wedding day. With a variety of wedding photography packages and customizable options... (Wedding Photographers Spruce Head)
Professional and fun wedding photographers based in Portland, Maine, Maine Mountain Media is dedicated to providing an incredible and easy experience for your wedding photography needs. Owners Paul Friedman and Spencer Mendell are dedicated to creating timeless and elegant photos for you to preserve... (Wedding Photographers Brunswick)
Dragonfly Services Day of Wedding Coordinator is a day-of wedding coordinator based in Boothbay Harbor, Maine. A day-of coordinator is for the bride who is able to plan her wedding day, but wants to be stress-free on her wedding day. This team is led by Wendy Caron who boasts over 10 years of event... (Wedding Planners Boothbay Harbor)


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Over 70 brethren gathered at Fleetwood Masonic Hall to witness Paul Smedley being installed for a second time into the chair of Broadwater Lodge No 9027. The representative of the Provincial Grand Master on this occasion was Blackpool Group Chairman John Turpin.
John was supported on this occasion by Duncan Smith, Chairman of North Fylde Group, together with Keith Jackson, Andy Wilshire, Tony Hough, Peter Greathead and Raymond Neal. Also in attendance were acting Provincial grand officers Phil Houldsworth, Daren Gardner, Peter Maxwell and Clive Gitsham.
For the purposes of installation, Peter Bawden acted as installing senior warden and Chris Sage acted as installing junior warden. Jonathan Selcoe acted as installing inner guard, and also had the pleasure of presenting his good friend Paul to the installing master David Wright for installation.
Keeping a firm hand on proceedings was the director of ceremonies Damon Tait. The master elect was ably and sincerely installed by David Wright. The working tools were particularly well presented by Alan Howie, Mark Spragg and Walter Daubney. Eric Peat delivered the address to Paul, which was followed by addresses to the wardens by Duncan Smith, and to the brethren of the lodge by John Turpin.
At the conclusion of the installation, John congratulated David on the manner in which he had installed Paul and expressed his wish for the master to have a happy and healthy year in office. On behalf of the lodge, Paul presented John with cheques for charities to the value of £1,400.
Paul works in the motor trade so he is certain to 'drive' the lodge forward this year and also to 'steer' it in the right direction.
The brethren enjoyed a superb festive board at which a raffle took place which raised almost £400 for charities. The toast to the newly made master was given by David Wright and the master's song was rendered by Hugh Mett, accompanied by David Brown.
At the conclusion of a splendid evening, the tyler's toast was delivered by Mark Tomlinson.


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HorizonTech Falcon Sub-Ohm Tank w/ Bulb Glass Option
The newest tank from Horizon has taken us by surprise! The Falcon comes with a 5ml juice capacity and top fill system. But what really takes this tank up a notch are the coils! The Falcon utilizes different wick material to offer a customize-able vaping experience. This tank offers the choice of 30% wood pulp with 70% cotton, natural flax fiber, flax fiber and flax paper, mesh coil 30% wood pulp 70% cotton. The Falcon makes flavor it priority.
Product Features:
- Diameter: 25.2mm
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- 0.2ohm F1 Falcon Coil - 30% wood pulp with 70% cotton
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- 0.15ohm M1 Mesh Falcon Coil- Mesh design with wood pulp and cotton
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1x Horizon Falcon Tank
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1x Spare O-rings


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Cyprus vs Bulgaria Prediction & H2H: Sportpesa Midweek Jackpot Prediction.
- Following a 2-1 loss to Bulgaria in the third round of the UEFA Nations League, Cyprus were held on a 1-1 draw by Slovenia away from home.
Also Read: How to Win Midweek Jackpot Bonuses Easily
- The hosts are at position three on the group three table with four points having won one game, drawn one and lost two.
- They have produced mixed results in their last five home games; they won two games, drew two and lost one.
- Bulgaria suffered a 1-0 loss to Norway to end their three consecutive wins in the competition.
- The visitors are second on the table with nine points having won three games and lost one. They have been good going forward having scored five goals but have conceded three on the run.
- The away team has lacked consistency in their last five away games; they won one game, drew one and lost three.
Cyprus vs Bulgaria Prediction: Head to head
The two teams haven't drawn in their last five meetings as Cyprus won one game while Bulgaria won four games.
Cyprus have won one game and lost four in the five home meetings with Bulgaria.
Cyprus vs Bulgaria Prediction: Standing
Cyprus vs Bulgaria Prediction: Last 6 Home/Away Matches
Dropping Odds Analysis
Prediction From Other Sites
Our FINAL VERDICT is given after considering the individual verdicts Given above. To receive the final verdict, REGISTER HERE. We won 68K for 10/13 Last week. Expecting 12/13 this week on the minimum


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AED donated to Windsor High School athletics in honor of John 'Johnny' Jacoby
James Redmond
Saturday afternoon between Windsor High School's girls and boys basketball games, the family and friends of John "Johnny" Jacoby took a moment to honor his memory by donating an automated external defibrillator to the school's athletic department.
"John loved watching Windsor High School sports, so we thought this would be a good opportunity to keep his memorial alive by donating an AED to the high school," his brother Mark Jacoby said. "It feels really good to give back to the community because the community was such a great support group for our family, and they really supported Johnny's Community Run. We just want to continue to keep funds in the community of Windsor, since that's what John was about, giving unselfishly."
On May 18, 2015, Jacoby's death rocked the Windsor community. It was the first murder in eight years in a town widely regarded as the safest small town in Colorado.
He was killed during a string of shootings in northern Colorado that summer.
More than 450 people packed into Faith United Church of Christ for Jacoby's celebration of life service with hundreds more watching a live stream at Windsor High School.
Emergency and town vehicles, cyclists and a row of cars more than a block long led the procession to Lakeview Cemetery to honor the unofficial "mayor of Windsor."
Almost a year after his brother's death, Mark organized a 5K run to honor his brother. The event, Johnny's Community Run, at Windsor Lake, will return this year, Mark said.
More information will soon come online at http://johnnyscommunityrun.com/.


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They do not reproduce sexually. Rare Earth All of these features make Earth special among known planets near and far. My best answer to "Why Earth is unique" is because it is the only planet that has life on it.
Also they are akward swimmers.
However, temperatures on the side facing away from the sun are cold — about F C. Water World To enable life, this most special of attributes, planet Earth has a number of ideal features.
Its surface temperature is a chilly F C. They alsogive birth to live offspring. The heat and pressure make the planet decidedly inhospitable to life. When viewed from the north, nearly all of the moons in our solar system revolve in a counterclockwise motion around their respective planets, and all of the planets in our solar system revolve around the sun in a counterclockwise motion.
Uranus has a faint ring system and 27 moons in its orbit. The four closest to the sun — Mercury, Venus, Earth and Mars — are the terrestrial planets. The cratered surface is hot with surface temperatures around F Cthe product of a runaway greenhouse effect.
What are some unique characteristics of moose? We all go on holiday to Spain every year. It is unique among planets in our solar system for having water in its liquid form at the surface, in an amount conducive to life evolving. If it were to big or small we would all be dead.
Long legs carry them easily over deadfall trees or through snow that would stop a deer or wolf. What are some unique characteristics about seahorse? What are some unique characteristics of England?
How has Earth been able to hold on to its oceans while those on other planets freeze or fry? Like all the outer planets, Neptune, like Uranus, has a diameter roughly four times that of Earth. The search has led scientists to debate whether Earth is really as special as we think it is.
We have the worlds best monarchy. The topography is characterized by large volcanoes and deep valleys, and Mars experiences frequent planet-wide wind storms.
It is completely different. A planet much farther in would receive too much energy from the sun, and a planet too far out would quickly freeze.
Location low investment high investment on arrival visa TRC in just 3 months Good Currency rates easy immigration rule Supportive government and people No security for investment Why Earth is unique?
They form fake feet to movearound on by enlarging cytoplasm. It rains every day. The interior of Saturn, like Jupiter, is made of mostly hydrogen and helium. In order from largest to smallest diameter relative to Earth, the planets in our solar system go as follows: But there are some interesting quirks when it comes to the rotation of the planets revolving around the sun.
Temperature, Mass, and Diameter Anyhow, our solar system also has a lot of characteristics related to the sizes and temperatures of the planets in it. Compared to the 8 major planets, Pluto was thought unique becauseit was a rocky planet, far from the Sun, in an orbit highly angledfrom the plane of the other planets.
With their tremendous physical power and vitality, moose can travel over almost any terrain. The presence of our big brother planet, Jupiter, farther out in the solar system blocking Earth from much of the incoming debris, has also helped Earth become a safe haven for life.
The Characteristics of the Planets Did you know that most of our solar system, despite the many asteroids and planets in it, is actually empty space? An Oddball that Spins on Its Side While most planets spin on their axis with a slight tilt, the ice giant Uranus spins on an axis parallel to its orbit.What are unique characteristics of earth?
What are some unique characteristics of planet earth that make it a place for life? There are three major characteristics for life, as we know. As far as science "knows," the planet earth is unique in the entire universe.
Certainly this is true in our own solar system. Nothing that we have observed leads us to believe that there is any other planet like earth. Video: Major Characteristics of Planets in the Solar System This lesson will go over some characteristics of the planets in our solar system with respect to their masses, diameters, temperatures.
Earth is one special planet—and it seems the more we learn, the more we know it! Earth is one special planet—and it seems the more we learn, the more we know it!
Earth What Makes Earth So Unique? What Makes Earth So Unique? on July 12, Share: Email Using: Gmail Yahoo! Outlook Other.
The Earth is the only planet known to support life. Although larger than the other inner planets, Earth is much smaller than the gas giants found in the outer solar system. Earth is a terrestrial planet with liquid water covering roughly 70 percent of its solid surface.
The third planet from the Sun. • Cite some of the characteristics of Earth which make it unique in our solar system, including: Earth's moderate temperature, the abundance of liquid Describe the characteristics of planet Earth to an "alien" from another Page 8 Exploring Earth, Sun, and .Download


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For the emperor's abdication on April 30, Japanese workers are to enjoy an unprecedented 10-day holiday as a rash of special days off combine with the traditional "Golden Week" next month, but not everyone is popping the champagne corks in famously workaholic Japan.
"To be honest, I don't know how to spend the time when we are suddenly given 10 days of holidays," 31-year-old finance worker Seishu Sato said. "If you want to go traveling, it's going to be crowded everywhere and tour costs have surged... I might end up staying at my parents' place."
A survey by the Asahi Shimbun showed that 45 percent of Japanese "felt unhappy" about the long vacation, with only 35 percent saying they "felt happy."
"I won't be able to take days off. On the contrary, we'll be super-busy," 46-year-old pizzeria worker Takeru Jo said.
Others who have to work over the period complain about childcare.
"For parents in the service sector, the 10 days of holiday is a headache. After-school care, nurseries — everything is closed," one disgruntled parent tweeted.
Many expect Tokyo and other large cities to empty as Japanese seize the rare opportunity for an overseas trip.
"Most of our tours for the holiday period were sold out last year," said Hideki Wakamatsu, a spokesman for Nippon Travel Agency, adding that many others were on the waiting list.
Still, if people are curiously indifferent to the idea of extra holidays as a result of the emperor, the imperial family remains as popular as ever.
A poll by Japan Broadcasting Corp (NHK) found that almost no one would admit to a "feeling of antipathy" toward the emperor, with the vast majority saying they had a "positive feeling" or "respect."
Only 22 percent voiced indifference in the NHK poll.
Open University of Japan politics professor Takeshi Hara said that much of this stemmed from the imperial couple's "welfare-related activities."
"Their attention to the elderly, the disabled and the victims of natural disasters — those ignored by politicians in the past three decades — has earned public support," Hara said.
The fact that Emperor Akihito married his sweetheart, Michiko, "for love" — the first marriage for love in imperial history — has also boosted his standing, Hara said.
However, Hideto Tsuboi of the Kyoto-based International Research Center for Japanese Studies said that one of the main reasons for Akihito's popularity lay in the fact that he was "conscious of the responsibility of the post-war generation" to reflect on Japan's wartime atrocities.
On the 73rd anniversary of the end of World War II last year, Akihito reiterated "deep remorse" over the war and his continued wishes for peace.
While criticism of the emperor is virtually non-existent, there has been some opposition to the financing of some of the ceremonies surrounding the abdication and enthronement.
More than 200 Japanese citizens have filed a lawsuit against the government for planning to use taxpayers' money to fund the ceremonies.
They say the ceremonies are religious in nature and funding them from the public purse breaks the constitutional principle separating religion and state.
They received unexpected backing from a member of the imperial household, Prince Akishino, the emperor's youngest son, who is to become crown prince when his brother, Naruhito, ascends the throne.


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9-10 Business Analyst Resume Samples Examples
Business Analyst Resume Samples Examples
In the event the author provides you some canned or fast reply that appears one-size-fits-all, then you must probably look . To confirm that you simply decorate the most effective professional resume writer you find it possible to pay for make use of the next specifics. The restart writer has many experience writing resumes and letters for all candidates . Usually do not produce exactly what you'd like inside your job. You know exactly the task that you need and you've received a duplicate of the project publishing. Job hunting can be extremely demanding and restart creating is among the activities that must be performed when looking for work. A work targeted resume put you aside from the competitors and make you the ideal solution for the job placement. You will have the ability to get the most proper occupation in Gulf. You may want to make your resume relevant to every single project. Figuring out the skills and experience which you have which are regarding the work which you're looking for. For certain tasks it's strategic to recognize your own major. Your work is to know what demands there are. A job might be an adventure building stepping stone in case you already know what kind of job you may like to earn future. If you are hunting to get a brand new job or intend to examine at the not too distant future, then you've not prepared your restart. You will always make use of the job advertisement although preparing the resume cover letter to get a specific placement. Making your resume to the exact first time may be described as a worrisome endeavor for everyone else, however feel it or maybe not , resume writing isn't quite as difficult as it's made to be. What you really do is look at just about every specific job description you are applying for and then pick out the particular capabilities, responsibilities and duties the occupation is searching. As the lack of experience can be a drawback, but it does not have to be an insurmountable hurdle. Recall you wish to sell yourself, your practical experience and any participation you must offer you the business. In the event you have no any experience that would assist you in obtaining the occupation, then high-light interests or accomplishments that are about the field. When it regards your own experience, come up with the hottest adventures . Evidently, the right experience ought to be exhibited first. If you're a recent college graduate volunteer expertise is very relevant. If you'd really like to get more information about creating resumes that get interviews, then go to a site such as Best job Resumes at which you will discover several articles and hints. If your resume doesn't possess an expert allure, it will not place you apart in the contest. While resume templates can be effortless to trace together with all the template exhibited may possibly well not be best fitted to your unique job background. Resumes usually are not browse exclusively from the employers plus they could miss out the essential data in your CV that may help you stand besides the audience. All the expert resumes share various traits. Multiple-page resumes are often merely used by high paying positions.


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Happy New Year!
Lies and Fake News. OK. Let's talk about Fake news.
Fake News: Reverse Entropy: the generation of something complex and living from something simple and non-living — is the ultimate Fake News. Fewer scientists believe this and seek out other explanations for life on earth such as Panspermia, as mythical as any idea out there.
The theory of Reverse Entropy (a.k.a. Evolution), as evangelized in our public schools, is a violation physical principles: the Second Law of Thermodynamics, otherwise known as the Law of Entropy. Simply stated, over time, systems become more chaotic and less organized. Over time, buildings decay and fall apart. Over time, energy (such as from a fire) dissipates (the fire goes out). There is no fundamental principle — observable and repeatable — that suggests that matter, without outside intelligence, design and work, self arranges from less complex to more complex — from a basic carbon atom to an eye-ball. This is old fashioned hokey-pokey non-sense made up for people who demand an explanation that excludes a Creator.
All evidence of genetic mutation suggests that damage to the genetic string degrades sophistication, not increases it. Thus, radiation destroys the ability to replicate healthy genes, it does not make them more complex and sophisticated.
This story of auto-genesis — of Reverse Entropy — is Atheist Man's creation myth. Theistic Man has a better, strong, more internally consistent Creation story called: Creation. As in, In the Beginning, God created the heavens and the earth. The two stories are wholly inconsistent.
Because we are finite and non-omniscient, the best thinking man can do with his theories, I think, is to make them internally consistent. I mean, I wasn't here in the beginning. I am not out side of Creation. I am not omniscient. And I understand this. Therefore, I have to accept the fact that much of what I perceive as true (whether I am and Atheist or a Theist) is purely based on conjecture (a.k.a. Presupposition, axioms, accepted truths, Faith). So the next best thing I can do is at least check my theories for internal consistencies.
Reverse Entropy's (Evolution) most self-apparent inconsistency is that you can't get something from nothing. Entropy — universally observed — disallows Reverse-Entropy (which is Evolution). Big "E" evolution is a myth: "we magically emerged from the mud without outside intelligence, design or work." [We're not talking genetic mutation: one can't say "because genes mutated (damaged from radiation) things naturally increase in complexity." That's anti-Entropy. So, internally inconsistent.]
Let's do a little self examination of the Genesis. We have a story in which everything is created "very good" by God. At the end of creating, God reflects upon his creation and says "And God saw everything that he had made and it was very good."
What is "very good" to a holy, perfect, eternal being? No corruption. No death. No disease. No evil.
In the story, death and evil come some time after he makes a "very good" Creation. Man is upon the scene. Eve, the woman, decides that she can judge whether or not what Adam said to her about what God said was true. This was the original theory of truly independent knowledge. She accepts (without any capability of verification) what the Serpent said as true. How strange. She was created by God of her husband Adam yet she rejects them both for the lying word of the Devil who appeals to her ego: "you will be like God, knowing good and evil." Vanity. Arrogance. Pride. The yearning for a life independent of God.
Thus the earthly creation become corrupt when Adam and Eve rebelled. Man will die and Adam's first (Cain) will be a murderer. How interesting.
Man becomes so corrupt that God decides to wipe from the face of the earth every creature that draws breath save Noah and those with him on the Ark. With them he starts anew. And he promises a savior who will come to be the permanent atonement for the sins of Man — Jesus, the Christ.
Given this story, what does Reverse Entropy say? It says — the world began base, simple, unsophisticated, without life. Life emerges over time and becomes more complex. Eventually sentient, beautiful creatures emerge and eventually, the penultimate expression of "what is" is Mankind! Wise! Independent! Knowledgeable! Self-Aware! Able to make moral choices! Controlling his environment! And we are taught that good and evil are but social constructs invented by societies for various purposes of self-preservation.
If this is true, then for what purpose is there a Savior? If mankind "evolved" from nothing, from some simple non-life form, and is now this magnificent being, then clearly things progress from bad to good over time, from life-less-ness to life, from ignorance to intelligence, from non-sentience to sentience, from virtually nothing to something great! If this is true, then for what purpose does God need to exist? For what purpose does man need a Savior?
If sin is but the subjective invention of man, then for what need an sacrifice for sin?
If we Evolved (Entropy was reveresed) and are becoming wiser, stronger, and better, for what need a Savior?
If Evolution is True, then the Christian story is non-sense.
A problem with Christianity as we know is is that the Church has largely bought into he myth of Evolution. And as such, the story of Christianity becomes internally inconsistent: if we Evolved, then there is no need for a Savior.
If, however, Evolution is a lie — if Reverse Entropy is a lie — then the Church is guilty of accepting and condoning the Big Lie.
Big Lies are hard to refute — because they are usually bigger than us. But why would the Church, like Eve, accept the Lie over the Truth?
If we "evolved," then missionary activity is a farce and insisting upon "one way" to God does not make sense.
But if Reverse Entropy (Evolution) is the Big Lie — and evidence continues to stack up that it is — then the Church is guilty of turning away from the Truth and will be accountable at the Judgement Day for the souls of the men of their generation.
Why is all this important? Because I belive in Truth, and that Truth is important.
Thankfully, there are men out there pointing us back in the right direction. Henry Morris is probably the god-father of all of them. But there are more.
Here's a couple of sites that tackle the Story of Genesis in contrast to the Myth of Reverse Entropy:


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Metal sign with a 3-Dimensional star in the center. In the center and outer it has a twisted rope circle.
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An investigation of fixational eye movement patterns during three-dimensional object recognition
- Charles Leek (Lluniwr)
Rheolir ganYsgol Seicoleg
The main goal of this project is to investigate how the human visual system perceives and recognises three-dimensional objects. How it is, for example that we know what an object is when we look at it. To study this we will be measuring the eye movements of people under many different viewing conditions. By analysing where people look when they are viewing objects we hope to be able to better understand how our visual system functions: what kinds of information about the shapes of objects it processes and how we adapt to different viewing conditions. A further challenge of this project is to apply this knowledge about the human visual system to the development of more efficient artificial, computer-driven, vision systems - such as robotic systems. To achieve this goal, we will be developing a project dedicated website to publicise our research findings to researchers in both human and computer vision, as well as to industry, commerce and the general public. We will also be presenting the results of our work at scientific conferences in both research fields. We hope that this will stimulate future inter-disciplinary research in this area and stimulate interest from industrial and commercial partners
|Dyddiad y'i gwnaethpwyd ar gael
|14 Maw 2014
|Prifysgol Bangor University
|Diwedd cynhyrchu data
|1 Ebr 2010 - 31 Awst 2013
Cyhoeddiadau (1)
- Cyhoeddwyd
Shape information mediating basic- and subordinate-level object recognition revealed by analyses of eye movements.
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For a long time now, Ethiopia Premier League giants St George Football Club has been a destination and safe haven for many Ugandan footballers.
Back in the days of Hannington Kalyesubula (now goalkeeping coach at Uganda Premier League club Busoga United), Denis Onyango, Hassan Wasswa Mawanda, Robert Ssentongo, Isaac Isinde, Robert Odongkara to the very latest player to feature at the club, Yassar Mugerwa, St George has always found special and desirable ingredients in Ugandan players.
The next target for the Addis Ababa based club is Uganda Cranes right back, Nico Wakiro Wadada.
The roving right back is fresh from the 2019 TOTAL Africa Cup of Nations tournament in Egypt, his second AFCON championship where Uganda Cranes was eliminated at the round of 16.
Although Wadada has just penned a contract extension with his Tanzanian club, Azam FC, St George has proved a hard nut and they continue to preach their famous "break the bank" vows in a bid to secure the services of the diligent right back.
Kawowo Sports has established that St George is willing to fork $ 70,000 to exploit a buy-out clause for the player.
When approached, Wadada distances himself from the transfer talk, but believes in football anything is possible.
"As far as I know, I am still an Azam FC player and recently signed another deal at the club. I am still loyal and committed to my service at Azam FC. But, as footballers, anything is possible in the transfer world." a humbled Wadada acknowledges.
For starters, Wadada played only one match at the 2019 AFCON finals against hosts Egypt at the Cairo International Stadium.
Uganda Cranes lost the game 2-0. For the rest of the other three matches, he played second fiddle to Bevis Kristofer Mugabi.
The former Vipers trusted skipper joined Azam FC at the start of the 2018-2019 season.
He remains a key pillar for the club that he guided to the third place in the Tanzania Premier League and champion of the league cup.
Next season, Azam will play in the CAF Confederation Cup, a big opportunity for Wadada to further expose his abilities across the continent.
At the moment, three Uganda Cranes players ply their trade in Ethiopia.
Goalkeepers Robert Odongkara (Adama City) and Isma Watenga (Ethiopia Bunna) as well as Yasser Mugerwa (Fassil Kenema) are currently based in Ethiopia.
Kirizestom Ntambi recently indicated he would move after the expiration of the employment contract at Ethiopia Coffee Football Club.


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steel companies in the United States and Canada. The Company operates three iron ore mines in Minnesota Hibbing Taconite Company, Northshore Mining Company and United Taconite, LLC. Cliffs Natural Resources Minnesota mines have the combined annual capacity to produce 18.2 million tons of iron ore pellets annually.
The majority of Earth's iron, however, exists in iron ore. Mined right out of the ground, raw ore is mix of ore proper and loose earth called gangue. The ore proper can usually be separated by crushing the raw ore and simply washing away the lighter soil.
Most ore is now produced in China, Australia, Brazil, India, Russia, Ukraine, South Africa, Canada, Venezuela, and the United States. Hematite has a wide variety of other uses, but their economic significance is very small compared to the importance of iron ore.
40+ items·55 Iron Ore Mining Companies in the United States. Search or browse our list of Iron Ore Mining companies by category or location.
Iron ore was sent to England from near Jamestown in 1608, the year after ia was first permanently settled; and in 1620, 150 skilled workmen were sent to the colony to erect and operate ironworks. An Indian massacre two years later; however, put a discouraging end to the proceedings.
The Hull Rust Mahoning Mine in Hibbing, Minnesota, is the largest open pit iron mine in the world. The mine, located in the Mesabi Range, supplied as much as one fourth of all the iron ore mined in the United States during its peak production years of World War I and World War II.
billion tons of high grade iron ore pellets have been produced from Minnesotas Mesabi Iron Range iron ore. Modern Taconite Production. Iron ore is both mined and upgraded on Minnesotas Mesabi Iron Range. After being extracted from the ground, low grade iron ore is hauled from open pit mines
The use of heavy mining equipment is necessary to dig out large pits in an area with a large deposit of iron ore; however, because iron does not occur naturally, it is necessary to use a blast furnace to separate or refine iron from the other substances in the iron ore.
Oct 20, 2017·98% of the iron ore mined is used to make steel. 51% of global steel is used for construction. 6.5% of CO2 emissions derive from iron and steel production. Contact Us Mining and the environment Australian Bureau of Statistics
Feb 27, 2016·Tunneling Muck Loader In Rock Ore Underground Mining Plant , Find . iron ore,coal ore, gold ore, granite and other metal or non metal mines can be . The electric rock have great humidity resistance. it can be used in dry or damp places. 4.
Mining for iron ore and copper in the US Upper Midwest is expected to stage a major comeback, as demand for both commodities locally and from foreign markets such as China continues to rise.
Much of the iron ore mined are oxide compounds of Magnetite (Fe 3 O 4), Hematite (Fe 2 O 3) Goethite (Fe 2 O 3 SH 2 O), and Limonite. Magnetite is composed of 72% iron, Hematite is 70% iron, Goethite is 63% iron, and Limonite is 60% iron.
Oct 23, 2018·Pressure to ease on iron ore prices; mining firms to resume operations. Feb 28, 2018 The Supreme Court order allowing some large iron ore mines in Odisha to restart is likely to soothe iron ore prices. Sirajuddin Mines.
Iron ore is mined in about 50 countries. The seven largest of these producing countries account for about three quarters of total world production. Australia and Brazil together dominate the world's iron ore exports, each having about one third of total exports.
Jun 06, 2016·Minnesota Iron Mining Process Minnesota Iron IRON ORE MINING 1950 Loading more suggestions Show more. Language English Location United States Restricted Mode
Iron ore deposits were found in many areas of the United States, but mining was centered in western Pennsylvania and eastern Ohio during the post Civil War period. Iron production and the emerging steel industry developed around Pittsburgh , which enjoyed the additional advantage of nearby coal fields.
A ton of iron ore is moved a thousand miles on the Great Lakes for seven tenths of a mill per mile; a ton of iron ore is carried from Duluth, Minnesota to Buffalo, New York at a rate but little in excess of the ordinary railroad switching charge in any of the large cities.
For iron ore, if carbon prices would rise to a level of $30 per tonne, iron ore costs would increase by 3.3% across the industry (pdf). An adequate incorporation of the water costs of iron ore
Oct 23, 2018·mineral and mining development study of molemole local munic. Other minerals that can be mined in the MLM include the iron ore, gold, . Blouberg in the northern part, Aganang in the western part, Polokwane in the south,.
Iron ore has enjoyed a sharp upsurge in prices in 2016 that has resulted in triple digit percentage gains for some of the top five iron ore stocks for 2016.
Iron, gold, silver, and other metal ore mining gross output in the United States from 1998 to 2016 (in million U.S. dollars) U.S. iron, gold, silver, and other metal ore mining gross output 1998 2016
Get expert industry market research on Iron Ore Mining in the US. Industry market research reports, statistics, data, trends, forecasts and information. Save time, save money, generate more revenue, mitigate risk and make faster and better business decisions.
Iron is found in every state in the United States and in almost every country in the world. However, the ore must contain commercially recoverable amounts of iron in relatively large deposits or ranges if it is to be mined economically.
A typical open pit iron ore mine is shown in Fig 1. Fig 1 A typical open pit iron ore mine. On the basis of mining methods, iron ore mining can be broadly divided into two categories namely manual mining and mechanized mining. Large iron ore mines are mechanized mines while manual mining methods are employed in the small mines.
China is the leader in both steel production (50% of world total) and iron ore mining (47% of global output in terms of tonnage).
US Iron LLC is a privately owned, US focused iron oxide ore mining and reclamation company. We have traded iron oxide ore domestically for over 10 years and in 2009/10 took ownership of our first of three mining properties.
Coal and Iron Deposits in the United States, 1910 A map from 1910 of the contiguous United States showing the regions of iron coal deposits. The map is keyed to show deposits of iron ore, lignite coal, bituminous coal, and anthracite coal in the region.
The iron ore trade is, of course, the trade of the Great Lakes, but it was not always so. The premier trade for so many years was grain, then lumber took first place, giving way subsequently to coal. In fact, it was not until 1888 that iron ore became the dominant trade of the Great Lakes. Its beginnings were very humble indeed.
Use of iron ore dates back more than 5,000 years, and as needs for iron have grown, iron ore deposits have been found all over the world. Minnesota has the largest deposits of iron ore in the United States and northern Minnesota has been mining iron ore for 130 years (26 years after Minnesota became a
Rio Tintos Hamersley iron ore mining operation in Australia is the seventh biggest iron ore mine in the world. The Fortescue operated Chichester Hub in Australia is the worlds eighth biggest iron ore mine. Image courtesy of Fortescue Metals Group. Anglo Americans Minas Rio mine in Brazil is the ninth biggest iron ore mine in the world.
To be economically viable for mining, iron ore must contain at least 20% iron. Magnetite ore has the highest proportion of iron, at 65%. Haematite ore also has a high content of iron at 60%. All iron ore contains ferric oxide and it is from this that iron is extracted. Approximately two billion tonnes of iron ore are mined each year. The
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Séfu is a functional fashion brand started by Thomas Grové, a game designer turned fashion designer. While working in Vietnam as Creative Director at a videogame company he started to think about how to create the perfect motorbike jacket for hot weather. After going independent he put all of his efforts into creating protective clothing until his son Ryusei asked him to design a bag for his Nintendo Switch. Uniting both his passion for videogames and fashion, the perfect bag for the Nintendo...
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Whether it's a piece of art on the wall or a major piece of furniture, every room needs a focal point.
Think about the last room you walked into—what was the first thing you laid eyes on? Nine times out of ten, whatever you're thinking of right now (a couch, a countertop, etc) is the focal point of that room.
A lot of rooms will have a pretty easily-defined focal point (like a kitchen with a large countertop that can't be moved) but some other rooms are a bit more flexible in that regard. The living room is one of the biggest examples of this; as anyone with a living room can attest to a lot of things wind up getting moved around until it's just right.
If you're thinking about redecorating your living room to create a better focal point, here's a few things to keep in mind.
Make sure it faces the entrance
Whatever your focal point is going to be—and no, it doesn't actually have to be living room furniture like a couch or chair—make sure it points towards the entrance of the living room itself. This will create a more natural 'guide' for your eye and will help anchor everything around it more easily.
Consider your architecture
Next, try to look at both the overall shape of your living room as well as any other architectural/design touches you might be bringing in. Consider things like a large picture window, French doors, a fireplace mantel, and so on. These can help guide the rest of the layout of your living room.
Create definition
Most modern living rooms tend to be large, flat spaces without a lot of previously-defined areas the same way you might see in a kitchen or dining room. This can work to your advantage—to further accentuate your chosen focal point, use height to draw the eye and create further definition. Taller items like living room cabinets and bookcases are perfect for this, but you can create a similar effect by thinking vertically with accent tables.
Go bold
Whatever you decide to use as your focal point, don't be afraid to accentuate it. After all, the point is to try and catch the eye, right? Surround it with lamps, bold colors, and whatever your most fun home decor is to make sure people gravitate to it when they enter the room.
Remember to triangulate
Finally, after settling on a focal point and accessorizing it to your liking, the rest of the furniture should naturally flow around the focal point. Most designers point to the idea of triangulation, as popular theory believes that groupings of three are more harmonious to the senses. Arrange things in a triangle around the focal point (including sofas, tables, recliners, and so on) to improve the flow of your room and create a better look overall.


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Eddie Garcia - Sometimes He Taketh Away
Tom: D
D A I remember when you told me that our lives were ?bout to change G A I was down in San Antone, you were back home in Killeen D A We couldn?t help but come up with a bunch of different names G A D We forgot about the worries and the things the doctor said... D A I even had a dream that I saw her little face G A I held her in my arms she had the sweetest little smile D A But deep down inside we knew that our hopes would soon expire G A I didn?t know it would hurt so much D When you told me she was gone...D A So we sat up in the bed and I wiped your tears away G A We came to terms with our misfortune, we even smiled a while D A And I promised you that someday soon we?d start to try again G A Oh how I pray to God D That he?d give us one more childG A D We cried and we held each other tight G A D We tried to make sense and not deny G A D A G F# Em Sometimes things happen for a reason they say Em A Sometimes the Lord giveth G A D Sometimes he taketh awayG A D We cried and we held each other tight G A D We promised that it would be alright G A D A G F# Em Maybe the next time everything will be ok Em A Sometimes the Lord giveth G A D Sometimes he taketh away Em A Sometimes the Lord giveth G A D Sometimes he taketh away.
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text: They say the best way to get a true sense of a city is to stroll around its street markets; and that statement couldn't be more true when it comes to visiting a market in London. Simply put, London is a city of markets. Dozens of bazaars populate the city's streets, where stalls overflow with all kinds of goods, foods and general necessities. This posts highlights the 9 markets I visited while in London!Read More


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Volume 506, Number 2, November I 2009
|989 - 992
|Celestial mechanics and astrometry
|Published online
|08 September 2009
On the predictability of unstable satellite motion around elongated celestial bodies
(Research Note)
E. Mysen
Institute of Theoretical Astrophysics, University of Oslo, PO Box 1029 Blindern, 0315 Oslo, Norway
Received 3 November 2008 / Accepted 28 August 2009
Context. Close satellite orbits around small and elongated celestial bodies can experience massive aperiodic changes in shape. According to a number of published works, the changes are continuous functions of the orbit elements of the satellite's unperturbed trajectory.
Aims. Later research, however, has revealed that the onset of instability is discrete, and highly correlated with the overlap of spin-orbit resonances. Since the interaction of resonances also can induce stochasticity in the orbiter's motion, we want to investigate more closely to what extent it is possible to predict the orbit evolution from the unperturbed elements.
Methods. Numerical simulations of a natural or artificial satellite's motion in a rotating gravity field of second order and degree are conducted using different algorithms and software.
Results. Consistent with the identification of resonance overlap as the responsible mechanism for the onset of orbit instability, we find that it is not always possible to predict qualitatively the outcome of a close encounter between satellite and the central body from the unperturbed orbit elements of the orbiter.
Conclusions. The massive aperiodic changes in orbit energy experienced by natural and artificial satellites in orbit around small elongated bodies exhibit properties characteristic for stochasticity.
Key words: space vehicules - celestial mechanics - methods: analytical - comets: individual: 67P/Churyumov-Gerasimenko
1 Introduction
Those who have simulated the motion of a satellite in orbit around a rotating and elongated central body, find that the orbit energy can experience massive changes in the vicinity of closest approach. From this observation, one can envision ejection of the orbiter from a bound trajectory, or collision with the central body.
According to Hamiltonian framework, spin-orbit resonances appear around the central body due to its rotation. Now, if we use the so-called resonance overlap criterion for chaos (Lichtenberg & Lieberman 1992), an aperiodic and unpredictable change in a satellite's orbit energy can be expected wherever the resonances overlap. The boundary between stable and unstable satellite orbits should, as a result, be almost discrete.
The overlap criterion has, however, been described as neither necessary nor sufficient for chaos (Lichtenberg & Lieberman 2002). Still, applications of the overlap criterion to this problem have yielded surprisingly precise predictions for the almost discrete transition between stable and unstable satellite orbits (Olsen 2006; Mysen et al. 2006; Mysen & Aksnes 2007). See also Petit et al. (1997).
It is therefore interesting that attempts to predict the changes in orbit energy analytically, by integration over a Keplerian trajectory, have been reported as successful, seemingly in contradiction with the identification of resonance overlap, and chaos, as the responsible mechanism for orbit instability. Also, the overlap criterion, with its almost discrete transition to instability, is not at terms with the continuous instability transition of the simple analytic approach.
The analytic technique has been applied a number of times to map the dynamical environment of asteroids and comets (Scheeres et al. 1996, 1998; Scheeres et al. 1999; Scheeres 2000a, 2003, 2004), and to predict changes in the rotation state of elongated objects during a planetary encounter (Scheeres 2000b; Scheeres 2001). Because of the wide spread applications of the approach, its importance to our idea of what can safely be done with a spacecraft in the vicinity of an elongated body, and its apparent inconsistencies with resonance overlap as responsible for orbit instability, we want to test the simple analytic approach more closely, especially since little numerical evidence has been given explicitly before.
In these tests of the analytic approch we have, in preparation for the ESA mission Rosetta, used parameters that correspond to close encounters between the spacecraft Rosetta and its primary target, comet 67P/Churyumov-Gerasimenko. However, it should be stressed that the considerations presented in this paper are general and therefore relevant to any close encounter of this kind.
2 Equations of motion
The details of any rigid body's gravity field can be expressed by a
potential expanded in spherical harmonic functions (Heiskanen &
Moritz 1967). To lowest order, the potential reads
Here, is the product of the constant of gravitation and the central body mass , is a reference radius, and r is the distance from the central body mass center to the satellite. The rotation of the central body is defined to be uniaxial, with period . The specific values are those of a nominal Rosetta target comet nucleus (see references in Mysen & Aksnes 2008). As for the constant gravity field coefficients, we use
which correspond to a fairly moderate central body elongation (Rossi et al. 1999). In Eq. (1), are associated Legendre functions, where and are the north latitude and east longitude, respectively, of the orbiter relative to the central body equator (body fixed xy-plane) and the so-called principal x-axis of the body (Goldstein 1980).
To obtain the corresponding acceleration
of the orbiter, one must calculate the gradient of the potential Eq. (1):
where Xi=(X,Y,Z) are reference system coordinates, illustrated together with some of the satellite's orbit elements in Fig. 1.
|Figure 1:
Some angles of the satellite's orbit around the central body are shown. Above, i is the inclination, the longitude of ascending node, and is the sum of the orbit's argument of pericenter, , and the true anomaly, f.
|Open with DEXTER
3 Predictability of unstable motion
It has previously been demonstrated that strong spin-orbit resonances exist in our problem, and that orbit shape instability is surprisingly well predicted by the resonance overlap criterion (see for instance Olsen 2006). Following the simplified first fundamental model of resonance, Mysen & Aksnes (2007) have parameterized the regions in satellite orbit semi-major axis, a, and eccentricity, e, space where overlap occurs. By definition, predictions based on the iterative integration over pure Keplerian motion fail in a resonance, and particularly so wherever the resonances overlap. Still, the structure of resonances and how they interact is highly non-trivial, and it is therefore possible that the previously mentioned simple analytic technique can be applicable.
3.1 Analytic approach
To explore this more closely, we look at the change in orbit energy from orbit apocenter, at time t0, to a time t1 when the semi-major axis of the orbit has stabilized (for instance the next apocenter):
The change in energy can be calculated from basic Hamiltonian theory:
If the rotation is uniaxial, we have
where is the rotational phase along the XY-plane, of the body fixed x-axis, as measured from the reference X-axis (Fig. 1). Note that , where P is the central body rotation period as before. Appropriate Fourier expansions of can be found in Scheeres (2001) and Mysen et al. (2006), or in Kinoshita et al. (1974) for any degree and order of the gravity field. Accordingly
with f as the true anomaly of the satellite in its orbit around the central body, and i as the orbit's inclination with respect to the central body equator, as before.
Already now, we will use a concept which is related the idea that we
can say something about the orbit evolution from Keplerian motion: when
above is substituted into
Eq. (6), the q=-1 and q=0 components of Eq. (7) oscillate more rapidly than the q=1 term,
so that the contribution from the former two to the aperiodic change in
energy is negligible compared to the latter component. In addition, we
do not assume that the inclination of the orbit with respect to the
central body equator changes significantly during the change in orbit
energy. These assumptions will be tested implicitly later on for some
special cases. Finally, we have
where the sensitivity of the function
with respect to inclination defines what we mean by an insignificant change in i during pericenter passage.
The pioneer work of Scheeres (see references) then states that we can substitute ordinary
time t in Eq. (8) with what we call pseudo-time t* that induces variation of the dynamical variables corresponding to Keplerian motion. Doing so results in
These integrals will be evaluated numerically.
Under the assumption Eq. (10), the satellite orbit energy should not experience a significant aperiodic change if the longitude of pericenter,
where . Above, T is the orbit period and and are the rotational phases of the central body when the satellite is at orbit apocenter and pericenter, respectively. In the same way, we should expect a near maximum change in orbit energy when
if Eq. (10) holds.
3.2 Numerical simulations
We will now test if the truncation Eq. (8) can be an acceptable approximation of Eq. (4), and if the change in satellite orbit energy can be predicted using pseudo-time, inducing Keplerian motion, Eq. (10). For this purpose, the satellite orbit is initially defined to be almost directly prograde with respect to the central body's rotation, with initial semi-major axis . Here, it must be mentioned that outside the regions where the resonances overlap, the only quantity predicted by Eq. (10) is the difference in phase of the periodic variations in satellite orbit energy. That is, the approximation Eq. (10) does not ``clearly explain why particles in retrograde orbits about uniformly rotating body experience relatively small fluctuations in energy and angular momentum, as compared to particles in direct orbits'' (Scheeres 1999), see Eq. (9). Instead, it has been demonstrated (Olsen 2006; Mysen et al. 2006; Mysen & Aksnes 2007) that the stability of retrograde orbits is explained by a more fundamental principle than the amplitude of a slowly varying integrand being zero, namely that the resonances do not overlap.
In order to properly illustrate the strength of the interaction
between satellite and central body in the vicinity of pericenter, we
compare the corresponding changes in the orbit's semi-major axis a. The actual change
is compared to
derived from the truncated Eq. (8), and to the semi-major axis change
Eq. (10). These values are well approximated by
where t0 represents the time when the satellite starts at first apocenter, and t1 is the time when the orbit energy stabilizes after closest approach. There is some arbitrariness to the choice of t1, but below, we have made sure that the conclusions are not affected by this choice. The results have been confirmed by two different softwares (Mathematica, Fortran 95) using different simulation algorithms (LSODA, Bulirsch-Stoer) and different precisions (15 and 32 digit mantissa).
Included as Fig. 2 are the semi-major axis changes for trajectories that are thought to maximize the change, Eq. (14), as functions of the initial satellite orbit's eccentricity e. Clearly, it can be seen that the truncated , represented by one of the dashed curves, can serve as a good approximation of the actual change . Also, the prediction based on the integration of the unperturbed Keplerian orbit is seen to work well for this maximum predicted from the analytic theory.
|Figure 2:
The changes in semi-major axis as functions of the initial orbit's eccentricity e are shown. The actual change is given by , while the prediction based on the integration over a Keplerian orbit is given by . At first apocenter the semi-major axis is set to , and the orbit is defined to be almost directly prograde with respect to the central body rotation.
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Likewise, Fig. 3 shows how the analytic prediction compares to the actual change in semi-major axis when this change is predicted to be zero, Eq. (13). This time, there are discrepancies between the analytic prediction Eq. (10) and the actual change, which are clearly not caused by the truncation Eq. (4) since .
|Figure 3:
The actual change in semi-major axis of the satellite orbit during a close approach is compared to the analytic prediction for different eccentricities e of the initial orbit. The initial semi-major axis of the orbit is set to .
|Open with DEXTER
3.3 Predictability
An important question remains: if the change in orbit energy is fairly
well predicted by the analytic technique based on the integration over
a Keplerian orbit, like in Fig. 2,
is it possible then to predict the orbit evolution for successive close
encounters? If so, it would apparently contradict the concept of
resonance overlap as the mechanism responsible for the aperiodic change
in orbit energy. One way to answer this question is to quantify the
of the predicted change in semi-major axis during a close approach that
alone, i.e. without regard to other satellite orbit parameters, would
make the outcome of the next approach entirely uncertain. For instance,
let the orbit's longitude of pericenter before first close encounter be
of Eq. (13). The question is then: how much must the semi-major axis change during the encounter in order to turn a fixed
Eq. (14):
where the specific value is for the adopted nominal Rosetta target and initial orbits of Figs. 2 and 3, namely . From Figs. 2 and 3, the error of the analytic technique is typically similar to or larger than above. Hence, it is possible to consolidate the type of predictability presented by the analytic technique with the identification of resonance overlap as the underlying mechanism responsible for the rapid and aperiodic changes in orbit energy.
4 Discussion
Simulations show that the energy of a satellite orbit around an elongated central body can experience large aperiodic variations. Due to the apparent inconsistencies between an analytic technique used to predict these changes, and the previous identification of resonance overlap as the mechanism responsible for the observed effect, we have tested the analytic approach more closely.
It was found that the predictions provided by the studied analytic technique are limited to between zero and one closeencounter of the satellite with the central body. Accordingly, the predictions of the analytic technique were not found to be precise enough to rule out resonance overlap as the responsible mechanism for the observed effects.
The results strengthen the idea that spin-orbit resonances are essential when trying to understand the dynamical properties of and hazards for particles and spacecraft in orbit around asteroids and comets.
At last, it must be pointed out that we in the simulations sometimes see that the satellite is ejected from a bound orbit around the central body. The question is then if this behaviour is consistent with chaotic dynamics in its strictest sense since an orbit started in the chaotic regime is required to stay there. That is, an ejected satellite continues on its journey away from the central body, in a dynamical regime where two nearby trajectories do not diverge exponentially. Future studies will focus on this question.
The reason why the studied analytic technique works better for satellite trajectories which, according to the technique, should experience large changes in orbit energy during an encounter, is also of interest.Acknowledgements
This work was possible due to support from the Research Council of Norway, project 184686.
- Goldstein, H. 1980, Classical Mechanics (Reading: Addison-Wesley)
- Heiskanen, W. A., & Moritz, H. 1967, Physical Geodesy (San Francisco: W.H. Freeman and Company)
- Kinoshita, H., Hori, G., & Nakai, H. 1974, Modified Jacobi polynomials and its applications to expansions of disturbing functions, Annals of the Tokyo Astronomical Observatory, Second Series, Vol. XIV N.1
- Lichtenberg, A. J., & Lieberman, M. A. 1992, Regular and Chaotic Dynamics (New York: Springer-Verlag)
- Mysen, E., & Aksnes, K. 2005, A&A, 443, 691 [NASA ADS] [CrossRef] [EDP Sciences]
- Mysen, E., & Aksnes, K. 2007, A&A, 470, 1193 [NASA ADS] [CrossRef] [EDP Sciences]
- Mysen, E., & Aksnes, K. 2008, A&A, 490, 447 [NASA ADS] [CrossRef] [EDP Sciences]
- Mysen, E., Olsen, Ø., & Aksnes, K. 2006, Planet. Space Sci., 54, 750 [NASA ADS] [CrossRef]
- Olsen, Ø. 2006, A&A, 449, 821 [NASA ADS] [CrossRef] [EDP Sciences]
- Petit, J.-M., Durda, D. D., Greenberg, R., Hurford, T. A., & Geissler, P. E. 1997, Icarus, 130, 1997 [CrossRef]
- Rossi, A., Marzari, F., & Farinella, P. 1999, Earth Planets Space, 51, 1173 [NASA ADS]
- Scheeres, D. J. 1999, Cel. Mech. Dyn. Astr., 73, 339 [NASA ADS] [CrossRef]
- Scheeres, D. J. 2001, Cel. Mech. Dyn. Astr., 81, 39 [NASA ADS] [CrossRef]
- Scheeres, D. J., Ostro, S. J., Hudson, R. S., & Werner, R. A. 1996, Icarus, 121, 67 [NASA ADS] [CrossRef]
- Scheeres, D. J., Marzari, F., Tomasella, L., & Vanzani, V. 1998, Planet. Space Sci., 46, 649 [NASA ADS] [CrossRef]
- Scheeres, D. J., Williams, B. G., & Miller, J. K. 2000a, J. Guid. Cont. Dyn., 23, 466 [CrossRef]
- Scheeres, D. J., Ostro, S. J., Werner, R. A., Asphaug, E., & Hudson, R. S. 2000b, Icarus, 147, 106 [NASA ADS] [CrossRef]
- Scheeres, D. J., Miller, J. K., & Yeomans, D. K. 2003, The Orbital Dynamics Environment of 433 Eros: A case study for Future Asteroid Missions, IPN Progress Report 42
- Scheeres, D. J., Broschart, S., Ostro, S. J., & Benner, L. A. 2004, The Dynamical Environment About Asteroid 25143 Itokawa, ISTS 2004-d-36
All Figures
|Figure 1:
Some angles of the satellite's orbit around the central body are shown. Above, i is the inclination, the longitude of ascending node, and is the sum of the orbit's argument of pericenter, , and the true anomaly, f.
|Open with DEXTER
|In the text
|Figure 2:
The changes in semi-major axis as functions of the initial orbit's eccentricity e are shown. The actual change is given by , while the prediction based on the integration over a Keplerian orbit is given by . At first apocenter the semi-major axis is set to , and the orbit is defined to be almost directly prograde with respect to the central body rotation.
|Open with DEXTER
|In the text
|Figure 3:
The actual change in semi-major axis of the satellite orbit during a close approach is compared to the analytic prediction for different eccentricities e of the initial orbit. The initial semi-major axis of the orbit is set to .
|Open with DEXTER
|In the text
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