Accuracy of Kepler approximation for fly-by orbits near an attracting centre-Reference-Cited by-同舟云学术

Accuracy of Kepler approximation for fly-by orbits near an attracting centre

Published:1982-12 Issue:3-4 Volume:2 Page:263-300
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Alexeyev V. M.,Osipov Yu. S.

Abstract

In the study of the motion of a particle with negligible mass in the gravitational field created by other bodies (for example, the motion of the comet within the Solar system) it is natural to decompose its trajectory into regular and singular parts.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Matched asymptotic expansions, patched conies and the computation of interplanetary trajectories;Breakwell;Proc. XIV Int. Astronautical Congr.,1965

2. The restricted problem: An extension of Breakwell-Perko's matching theory

3. [4] M. Д. КиCлик Cфeры влияния больших планет И Луны. Косм. 2, 6 (1964) 853.

4. [2] B. H. Бopoдoвcк;ий. Πpимeнeниe ocкyлиpyюших злeмeнтов пpи тepминaльном yпpaвлeнии лвижeниeм КА. Кocм. 13, 5 (1975) 645–650.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variational approach to second species periodic solutions of Poincaré of the 3 body problem;Discrete & Continuous Dynamical Systems - A;2013

2. Second Species Periodic Orbits of the Elliptic 3 Body Problem;Celestial Mechanics and Dynamical Astronomy;2005-09

3. Fast Resonance Shifting as a Mechanism of Dynamic Instability Illustrated by Comets and CHE Trajectories;Annals of the New York Academy of Sciences;1997-05