The Photo gravitational Restricted Three Body
Problem In Source of Radition and Oblate

Ram Krishna kumar; Kumari Vandana

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P502

The Photo gravitational Restricted Three Body Problem In Source of Radition and Oblate

Ram Krishna kumar, Kumari Vandana

Abstract

The present paper deals with the equations of motion of photo gravitational restricted three body problems in which the bigger primary is the source of radiation and the smaller one is an oblate spheroid. The idealized model of restricted three body problem is one of the most celebrated problems of celestial mechanics. The restricted problem specifies the motion of a body of infinitesimal mass under the gravitational attraction of two massive bodies moving about their centre of mass in circular orbit.

Keywords

photo gravitational restricted three body problem, Libration, Oblatness, Primary, Bigger, Triangular points.

References

[1] Barrar, R. B. (1965): Existence of periodic orbits of second kind in the restricted problem of three bodies, Astronaumical Journal, Vol. 70, pp. 3 - 4
[2] Bennett, A (1965): Characteristic Exponents of the five equilibrium solutions in elliptical restricted problem, Icarus, vol. 4, pp. 177-187.
[3] Bhatnagar, K, B.(1969): Periodic orbits of collision in the plane elliptic problem of three bodies, Proc. Nat. Inst. Sci. India, 35 A, 829 – 44.
[4] Bhatnagar, K, B. and Taqvi, Z. A. (1976): Periodic Orbits of collision in the three dimensional restricted problem of three bodies, Jnanabha, Sec. A, pp. 81 – 93.
[5] Bhatnagar, K, B. and Chawla, J. M. (1977) : The effect of oblateness of the bigger primary on collinear libration points in the restricted problem of three bodies, Celestial Mechanics 16, pp. 129 – 136.
[6] Bhatnagar, K. B. and Hallan, P.P. (1978): Effect of perturbations in coriolis and centrifugal forces on the stability of libration points in the restricted problem, Celestial Mechanics 18, 105.
[7] Bhatnagar, K. B. and Chawla, J. M. (1979): A study of the Lagrangian points in the Photogravitational restricted three body problem, Indi
[8] Abhyankar, K. D. (1959): Stability of straight line solutions in the Restricted Problem of Three Bodies, Astronomical Journal 64, pp. 163- 169.

Citation :

Ram Krishna kumar, Kumari Vandana, "The Photo gravitational Restricted Three Body Problem In Source of Radition and Oblate," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 3-8, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P502