Author(s)

Niraj Pathak¹, V. O. Thomas²

¹Department of Mathematics, Dharmsinh Desai University, Nadiad, India.
²Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, India.

We analyze the periodic orbits of “f” family (simply symmetric retrograde periodic orbits) and the regions of quasi-periodic motion around Saturn in the photo gravitational Sun-Saturn system in the framework of planar circular restricted three-body problem with oblateness. The location, nature and size of these orbits are studied using the numerical technique of Poincare surface of sections (PSS). In this paper we analyze these orbits for different solar radiation pressure (q) and actual oblateness coefficient of Sun Saturn system. It is observed that as Jacobi constant (C) increases, the number of islands in the PSS and consequently the number of periodic and quasi-periodic orbits increase. The periodic orbits around Saturn move towards the Sun with decrease in solar radiation pressure for given value of “C”. It is observed that as the perturbation due to solar radiation pressure decreases, the two separatrices come closer to each other and also come closer to Saturn. It is found that the eccentricity and semi major axis of periodic orbits at both separatrices are increased by perturbation due to solar radiation pressure.

Restricted Three Body Problem, Sun-Saturn System, “f” Family Periodic Orbits, Region of Quasi Periodic Orbits, Photo Gravitation, Oblateness, Poincare Surface of Section

Pathak, N. and Thomas, V. (2016) Evolution of the “f” Family Orbits in the Photo Gravitational Sun-Saturn System with Oblateness. International Journal of Astronomy and Astrophysics, 6, 254-271. doi: 10.4236/ijaa.2016.63021.