### Influence of Poynting-Robertson Drag and Oblateness on Existence and Stability of Out of Plane Equilibrium Points in Spatial Elliptic Restricted Three Body Problem

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E.I. Abouelmagd and A. Mostafa, Out of plane equilibrium points locations and the forbidden movement regions in the restricted three-body problem with variable mass, Astrophys Space Sci. 357 (2015), 58.

J.M.A. Danby, Fundamentals of Celestial Mechanics, 2nd edition, William-Bell Inc., Virginia (1988).

M.K. Das, P. Narang, S. Mahajan and M. Yuasa, On out of plane equilibrium points in photogravitational restricted three-body problem, J. Astrophys. Astr. 30 (2009), 177 – 185.

C.N. Douskos and V.V. Markellos, Out-of-plane equilibrium points in the restricted three-body problem with oblateness, Astronomy and Astrophysics 446 (2006), 357 – 360.

D.W. Geyer, R.S. Harrington and C.E. Worley, Parallax, Orbit and Mass of the visual binary L726-8, The Astronomical Journal 95 (6) (1988), 1841 – 1842.

S. Gong and J. Li, Analytical criteria of Hill stability in the elliptic restricted three body problem, Astrophysics and Space Science 358, doi:10.1007/s10509-015-2463-y(2015).

J. Liebert, P.A. Young, D. Arnett, J.B. Holberg and K.A. Williams, The age and progenitor mass of Sirius B, The Astrophysical Journal 630 (1) (2005), L69 – L72, arXiv:astro-ph/0507523.

A. Narayan and C. Ramesh, Effects of photogravitation and oblateness on the triangular Lagrangian points in elliptic restricted three-body problem, International Journal of Pure and Applied Mathematics 68 (2011), 201 – 224.

A. Narayan and C. Ramesh, Stability of triangular equilibrium points in elliptic restricted three body problem under the effects of photogravitation and oblateness of the primaries, International Journal of Pure and Applied Mathematics 70 (2011), 735 – 754.

A. Narayan, K.K. Pandey and S.K. Shrivastav, Effects of radiation and triaxiality on the triangular equilibrium points in elliptic restricted three-body problem, International Journal of Advanced Astronomy 3 (2) (2015), 97 – 106.

V.V. Radzievskii, The restricted problem of three bodies taking account of light pressure, Astron. Zh. 27 (1950), 250 — 256.

O. Ragos, E.A. Perdios, V.S. Kalantonis and M.N. Vrahatis, On the equilibrium points of the relativistic restricted three-body problem, Nonlinear Analysis 47 (2001), 3413 – 3418.

O. Ragos and C. Zagouras, The zero velocity surfaces in the photogravitational restricted three body problem, Earth, Moon and Planets 41 (1988), 257 – 278.

O. Ragos and C. Zagouras, Periodic solutions about the out of plane equilibrium points in the photogravitational restricted three body problem, Celes. Mech. 44 (1988), 135 – 154.

S.K. Sahoo and B. Ishwar, Stability of collinear equilibrium points in the generalized photogravitational elliptic restricted three-body problem, Bulletin of Astronomical Society of India 28 (2000), 579 – 586.

Shankaran, J.P. Sharma and B. Ishwar, Equilibrium points in the generalised photogravitational non-planar restricted three body problem, International Journal of Engineering, Science and Technology 3 (2) (2011), 63 – 67.

R.K. Sharma and P.V. Subba Rao, Stationary solutions and their characteristic exponents in the restricted three body problem when the more massive body is an oblate spheroid, Celestial Mechanics 13 (1976), 137 – 149.

J.F.L. Simmons, A.J.C. Mcdonald and J.C. Brown, The restricted 3-body problem with radiation pressure, Celestial Mechanics 35 (1985), 145 – 187.

J. Singh and T.O. Amuda, Out-of-plane equilibrium points in the photogravitational CRTBP with oblateness and P-R drag, J. Astrophys. Astr. 36 (2015), 291 – 305.

J. Singh and A. Umar, Motion in the photogravitational elliptic restricted three body problem under an oblate primary, Astronomical Journal 143 (2012), 109 – 130.

J. Singh and A. Umar, On the stability of triangular equilibrium points in the elliptic R3BP under radiating and oblate primaries, Astrophysics and Space Sciences 341 (2012), 349 – 358.

J. Singh and A. Umar, On ‘out of plane’ equilibrium points in the elliptic restricted three body problem with radiating and oblate primaries, Astrophysics and Space Sciences 344 (2013), 13 – 19.

J. Singh and A. Umar, Collinear equilibrium points in the elliptic R3BP with oblateness and radiation, Advances in Space Research 52 (2013), 1489 – 1496.

J. Singh and A.E. Vincent, Out-of-plane equilibrium points in the photogravitational restricted four-body problem, Astrophys Space Sci. 359 (2015), 38.

J. Singh and A.E. Vincent, Out-of-plane equilibrium points in the photogravitational restricted four-body problem with oblateness, British Journal of Mathematics & Computer Science 19 (5) (2016), 1 – 15.

T. Usha, A. Narayan and B. Ishwar, Effects of radiation and triaxiality of primaries on triangular equilibrium points in elliptic restricted three body problem, Astrophysics and Space Sciences 349 (2014), 151 – 164.

W.H. Van Den Bos, The Orbit of Sirius, ADS 5423, Journal des Observateurs 43 (1960), 145 – 151.

DOI: http://dx.doi.org/10.26713%2Fjims.v10i1-2.674

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