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Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid


 
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1. Title Title of document Stability of the Sitnikov's circular restricted three body problem when the primaries are oblate spheroid
 
2. Creator Author's name, affiliation, country RR Thapa; Department of Mathematics, Post Graduate Campus, Biratnagar Tribhuvan University; Nepal
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Characteristic equation; Non-trivial solution; Oblate spheroid; Sitnikov's restricted three body problem; Stability
 
4. Description Abstract

The Sitnikov's problem is a special case of restricted three body problem if the primaries are of equal masses (m1 = m2 = 1/2) moving in circular orbits under Newtonian force of attraction and the third body of mass m3 moves along the line perpendicular to plane of motion of primaries. Here oblate spheroid primaries are taken. The solution of the Sitnikov's circular restricted three body problem has been checked when the primaries are oblate spheroid. We observed that solution is depended on oblate parameter A of the primaries and independent variable τ = ηt. For this the stability of non-trivial solutions with the characteristic equation is studied. The general equation of motion of the infinitesimal mass under mutual gravitational field of two oblate primaries are seen at equilibrium points. Then the stability of infinitesimal third body m3 has been calculated.

DOI: http://dx.doi.org/10.3126/bibechana.v11i0.10395

BIBECHANA 11(1) (2014) 149-156
 
5. Publisher Organizing agency, location Birat Campus, Biratnagar, Nepal
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-05-10
 
8. Type Status & genre Peer-Reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://www.nepjol.info/index.php/BIBECHANA/article/view/10395
 
10. Identifier Digital Object Identifier http://dx.doi.org/10.3126/bibechana.v11i0.10395
 
11. Source Title; vol., no. (year) BIBECHANA; Vol 11 (2014)
 
12. Language English=en en
 
13. Relation Supp. Files
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.) Nepal
 
15. Rights Copyright and permissions Copyright (c)