
Accurate numerical integration algorithm for the Kepler motionAccurate numerical integration algorithm for the Kepler motionAA1141485X Modeling and Simulation in Applied Mathematics : Proceedings of Annual Workshop on Modeling and Simulation in Applied Mathematics, December 20, 2015JOSAI UNIVERSITY 
"/Nakanishi, Yosuke/"Nakanishi, Yosuke ,
"/峯崎, 征隆/"峯崎, 征隆 ,
"/中村, 佳正/"中村, 佳正
9pp.135

145 , 201603 , 城西大学大学院理学研究科
ISSN:13447777
NCID:AA1141485X
Description
The two and threedimensional discrete Kepler motions were presented in [5, 6] which conserve all of the constants of motion including the RungeLenz vectors. Sequences of points described by the discrete Kepler motions exactly lie in the continuous orbits of the Kepler motions. However, the time evolution of the discrete Kepler motions is different from that of the continuous Kepler motions. In this Letter new formulas are presented which describe the time when the two and threedimensional continuous Kepler motions arrive at the points located by the discrete Kepler motions.As an application a time adjustment of the discrete Kepler motions is performed. Consequently an accurate numerical integration algorithm for the Kepler motions is designed.
Modeling and Simulation in Applied Mathematics : Proceedings of Annual Workshop on Modeling and Simulation in Applied Mathematics, held at Josai Unversity on December 20 in 2015 / edited by Masahiro FUJITA, Manabu INUMA, Takahiro TSUCHIYA, Hidenori YASUDA
FullText
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