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On planetary motion—a way to solve the problem and a spreadsheet simulation

The article presents a way of solving the problem of planetary motion, or, the Kepler problem, without using the r → 1 / r ?> transition. The governing equation is solved for the components of the velocity vector in Cartesian coordinates. Substitution for speed in the law of energy conservation yields the equation of the trajectory. A time implicit closed formula for the azimuth is derived. An Excel application is presented that simulates the motion by solving the azimuth equation numerically without using programming.