紀要論文 Invariant n-gon relative equilibria of discrete-time (1 + n)-body problem with small arbitrary masses
Modeling and Simulation in Applied Mathematics : Proceedings of Annual Workshop on Modeling and Simulation in Applied Mathematics, December 20, 2015JOSAI UNIVERSITY

峯崎, 征隆

9pp.147 - 175 , 2016-03 , 城西大学大学院理学研究科
ISSN:13447777
NII書誌ID(NCID):AA1141485X
内容記述
The (1 + n)-body problem with n in nitesimal masses [3, 4, 11, 13] is generalized to the general (1 + n)-body problem (G(1 + n)-BP) in which n arbitrary non-infinitesimal masses influence a massive central primary. We clarify that the G(1+n)-BP has the central configurations similar to those of the (1+n)-body problem. We also propose the discrete-time general (1 + n)-body problem (d-G(1 + n)-BP), which approximates the orbits of theG(1+n)-BP. Moreover, we proved that the d-G(1+n)-BP has the same central configurations as the G(1+n)-BP. Until the proof in this work, there has been no discrete analog of the G(1+n)-BP preserving these central configurations.
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
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http://libir.josai.ac.jp/il/user_contents/02/G0000284repository/pdf/JOS-13447777-0912.pdf

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