Aten-Alinda orbital evolution: the example of possible interacting   orbits
  Minor planets 887 Alinda and 2062 Aten are typical near Earth asteroids (NEA). Our previous researches show their possible origin in catastrophic collision near Earth orbit. It is determine the target of present research -- to investigate interactions between these objects in more details. Orbits m.p. 887 and 2062 are crossed near pericenter and apocenter accordingly. So possible interval of the interaction of these objects is repeated through the significant time interval and has relatively small duration. On the strength of several reasons, orbits of fragments of the disastrous collision can have no an exact intersection. Besides, when integrating on the greater gap in the past increases a role of the uncertainty of initial values of elements of orbits. These factors determine a probabilistic nature of the result as well as need of modeling of the disastrous process. However, on the strength of the specific spatial location of orbits, result has highly determined numeric expression - in the suggestion on the possible interaction m. p. 887 and 2062, this event has occurred about 1400 years ago. The possible participation some other near Earth minor objects, include Quadrantides meteoric stream, in described disastrous event is discussed. 
A. Rosaev