Abstract
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.
Highlights
Restricted three body problem (RTBP) describes the motion of massless body which moves under the gravitational effect of two finite masses called primaries
In this paper we have studied family “f” orbits and their stability for Sun Saturn system with perturbation
The present paper analyses the effect of radiation pressure and oblateness on family “f” of periodic orbit (PO) in the Sun-Saturn system
Summary
Restricted three body problem (RTBP) describes the motion of massless body which moves under the gravitational effect of two finite masses called primaries. [6] and [7] analyzed the PSS for Earth-Moon system and Sun-Mars system They have identified periodic, quasi-periodic solutions and chaotic regions. [9] analyzed the family “f” orbits around smaller primary under RTBP for different systems. [8] studied PSS for Saturn Titan system for periodic orbits, quasi-periodic and chaotic regions. They studied numerous systems in ideal condition. In this paper we have studied family “f” orbits and their stability for Sun Saturn system with perturbation. Actual coefficient of oblateness for Saturn is taken into account and for different values of solar radiation pressure we analyzed family “f” orbits around Saturn
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
