Stability regions of equilibrium points in restricted four-body problem with oblateness effects

In this paper, we extend the basic model of the restricted four-body problem introducing two bigger dominant primaries m 1 and m 2 as oblate spheroids when masses of the two primary bodies ( m 2 and m 3 ) are equal. The aim of this study is to investigate the use of zero velocity surfaces and the Po...

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Bibliographic Details
Published in:Astrophysics and space science 2014-02, Vol.349 (2), p.693-704
Main Authors: Kumari, Reena, Kushvah, Badam Singh
Format: Article
Language:English
Subjects:
Astrobiology
Astronomy
Astrophysics
Astrophysics and Astroparticles
Cosmology
Mathematical models
Observations and Techniques
Orbits
Original Article
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
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Summary:In this paper, we extend the basic model of the restricted four-body problem introducing two bigger dominant primaries m 1 and m 2 as oblate spheroids when masses of the two primary bodies ( m 2 and m 3 ) are equal. The aim of this study is to investigate the use of zero velocity surfaces and the Poincaré surfaces of section to determine the possible allowed boundary regions and the stability orbit of the equilibrium points. According to different values of Jacobi constant C , we can determine boundary region where the particle can move in possible permitted zones. The stability regions of the equilibrium points expanded due to presence of oblateness coefficient and various values of C , whereas for certain range of t (100≤ t ≤200), orbits form a shape of cote’s spiral. For different values of oblateness parameters A 1 (0< A 1
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-013-1689-6