Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body

Details Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body

Sep 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009ap%26ss.323...65m&link_type=abstract

Astrophysics and Space Science, Volume 323, Issue 1, pp.65-73

Astronomy and Astrophysics

Astrophysics

1

Restricted Three-Body Problem, Periodic Orbits, Oblate Body, Radiation Pressure

Scientific paper

In this paper, we have studied periodic orbits generated by Lagrangian solutions of the restricted three body problem when more massive body is a source of radiation and the smaller primary is an oblate body. We have determined periodic orbits for fixed values of μ, σ and different values of p and h ( μ mass ratio of the two primaries, σ oblate parameter, p radiation parameter and h energy constant). These orbits have been determined by giving displacements along the tangent and normal to the mobile co-ordinates as defined by Karimov and Sokolsky (in Celest. Mech. 46:335, 1989). These orbits have been drawn by using the predictor-corrector method. We have also studied the effect of radiation pressure on the periodic orbits by taking some fixed values of μ and σ.

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