Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-25T00:28:40.122Z Has data issue: false hasContentIssue false
  • English
  • Français

The special case of the three body problem, when gravitational potential is given as the Kislik potential

Published online by Cambridge University Press:  05 January 2015

A. Shuvalova  and
T. Salnikova
A. Shuvalova
Affiliation:
Lomonosov Moscow State University, Moscow, 119991, Russia email: [email protected]
T. Salnikova
Affiliation:
Lomonosov Moscow State University, Moscow, 119991, Russia email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we consider the special case of the planar circular restricted three-body problem by the example of the problem of the Earth, the Moon and a point mass, where the gravitational potentials of the Earth and the Moon are given as the Kislik potential. The Kislik potential takes into account the flattening of a celestial body on the poles. We find the relative equilibria solutions for a point mass and analyze their stability. We describe the difference between the obtained points and the classical solution of the three-body problem.

Keywords

celestial mechanicsmethods: analyticalthree-body problemlibration pointflatteninggravitational potential
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 9 , Issue S310: Complex Planetary Systems , July 2014 , pp. 45 - 48
Copyright
Copyright © International Astronomical Union 2014 

References

Demin, V. G., 1968, The motion of an artificial satellite in the noncentral gravitational field Nauka Moscow.Google Scholar
Markeev, A. P., 1978, The libration points in celestial mechanics and space dynamics Nauka Moscow.Google Scholar
Worthington, J., 2012, A Study of the Planar Circular Restricted Three Body Problem and the Vanishing Twist Thesis Univ. Sydney.Google Scholar