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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

Stability of triangular points in the relativistic R3BP when the bigger primary is an oblate spheroid

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pp. 51–64Vol. 14Issue 1January 2016DOI: 10.1080/1726037X.2016.1177930XML
Received:
21 Aug 2015
Accepted:
25 Nov 2015
Published Online:
02 Aug 2016
Article type:
Article
Language:
EN
Article no.:
1726037X.2016.1177930
Pages:
51–64

Abstract

In this paper, we study the effect of oblateness of the more massive primary in the relativistic R3BP. We observe that the locations of the triangular points and their stability are affected by the relativistic and oblateness factors. It is also noticed that the oblateness factor possesses destabilizing behavior. Therefore, the size of the region of stability decreases with increase in the value of the oblateness factor.

Keywords

Celestial mechanicsOblatenessRelativityR3BP

Subject Classifications

70F15

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