Existence of Equilibrium Points in the Generalised Photogravitational Restricted Three Body Problem Space
DOI:
https://doi.org/10.32628/IJSRST2513214Keywords:
Equilibrium points, Generalised, Photogravitational, RTBP, OblatenessAbstract
We have found the position of equilibrium points in the generalised photogravitational restricted three body problem. The problem is generalised in the sense that both primaries are oblate spheroid. The position of equilibrium points depends on radiation and oblateness of both primaries. They are different from classical case. The oblateness affects the motion of the primaries. Further studies on this topic will be very useful in research areas in future research work.
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El-Shaboury, 1990. Existence of libration points in the restricted problem of three bodies with radiating pressure, Earth, Moon and Planets 48, 233-242. DOI: https://doi.org/10.1007/BF00113858
Kishor, R., Kushvah, B.S., 2017. Normalization of Hamiltonian and non-linear stability of the tri-angular equilibrium points in non-resonance case with perturbations. Ap & SS 362:156. DOI: https://doi.org/10.1007/s10509-017-3132-x
Kushvah, B. S., Kishor, R., Dolas, U., 2012, Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile, Astrophysics and Space Science, 337, 115-127. DOI: https://doi.org/10.1007/s10509-011-0857-9
Markeev, A. P., 1969. On the stability of the triangular libration points in the circular bounded three-body problem. PMM 33, 1, 112-116. DOI: https://doi.org/10.1016/0021-8928(69)90117-8
Mc Cuskey, S. W. 1963, Introduction to Celestial Mechanics, Addison-Wesley Publishing Company, Inc., New York.
Radzievskii, V. V., 1950. The restricted problem of three bodies taking account of light pressure. Akad. Nauk. SSSR Astr. Zurnal, 27(5), 250-256.
Schuerman, D. W. 1980. The restricted three-body problem including radiation pressure. Astron. J. 238, 337-342. DOI: https://doi.org/10.1086/157989
Sharma, R. K. 1987. The linear stability of libration points of the photogravitational restricted three body problem when the smaller primary is an oblate spheroid, Astrophy. And Space Sci. 135, 271-281. DOI: https://doi.org/10.1007/BF00641562
Szebehely, V. 1967. Theory of orbits: The restricted problem of three bodies, Acad. Press, New York. DOI: https://doi.org/10.1016/B978-0-12-395732-0.50016-7
Todoran, I. 1993. Remarks on the photogravitaional restricted three body problem, Astrophy. and Space Sci. 201, 281-285. DOI: https://doi.org/10.1007/BF00627200
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