Abstract
The numerical long-term prediction of the satellite motion is very laborious. This is mainly because the high rate of the change of the right member functions of the classical equation of motion results in a small step in numerical integration and, in turn, in a rapid accumulation of the round-off errors. As is well known, the application of regularizing and stabilizing variables allows avoiding these difficulties. The authors have constructed the numerical model of the motion of Martian satellites using the equation of motion written in rectangular coordinates (x),in regularizing and stabilizing Kustaanheimo—Stiefel (KS) variables (u) and in increments of KS-coordinates (δu).
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References
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© 2001 Springer Science+Business Media Dordrecht
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Titarenko, E., Bordovitsyna, T., Avdyushev, V. (2001). Numerical Simulation of the Motion of Martian Satellites. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_28
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DOI: https://doi.org/10.1007/978-94-017-1327-6_28
Publisher Name: Springer, Dordrecht
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