EFFICIENT COMPUTATIONS IN KEPLERIAN MOTION AND KEPLER'S EQUATION

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详细

The article considers the main aspects of practical calculations by the formulas of Keplerian motion. The initial value under consideration is the mean anomaly and five other constant parameters. Much attention is paid to solving the Kepler equation. An overview of the methods for solving is given. A method for specifying the accuracy of calculations is considered, taking into account the limited accuracy of representing numbers in a computer system. The article provides examples of solving the Kepler equation and examples of motion trajectories. According to the considered concept, an optimal program for calculations is compiled in the programming languages C/C++, Fortran, Python and offered on the Internet pages. The user is given the opportunity to choose a method for solving the Kepler equation from those considered in the article.

作者简介

I. Moiseev

Lomonosov Moscow State University, Faculty of Physics, Department of Celestial Mechanics, Astrometry and Gravimetry

Email: moiseev.ia20@physics.msu.ru
Moscow, Russia

N. Emelyanov

Lomonosov Moscow State University, Sternberg Astronomical Institute

Email: emelia@sai.msu.ru
Moscow, Russia

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