TITLE:
Evolution of Periodic Orbits in the Sun-Saturn System
AUTHORS:
Niraj Pathak, R. K. Sharma, V. O. Thomas
KEYWORDS:
Restricted Three Body Problem, Sun-Saturn System, Periodic Orbits, Quasi Periodic Orbits, Chaotic Orbits, Photo Gravitation, Oblateness, Poincare Surface Section
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.6 No.2,
June
15,
2016
ABSTRACT: We analyze the periodic orbits, quasi periodic orbits and chaotic orbits
in the photo gravitational Sun-Saturn system incorporating actual oblateness of
Saturn in the planar circular restricted three body problem. In this paper, we
study the effect of solar radiation pressure on the location of Sun centered
and Saturn centered orbits, its diameter, semi major axis and eccentricity by
taking different values of solar radiation pressure q and different values of
Jacobi constant “C”, and by considering actual oblateness of Saturn using
Poincare surface of section (PSS) method. It is ob-served that by the introduction of perturbing force due to solar
radiation pressure admissible range of Jacobi constant C decreases, it is also
observed that as value of C decreases the number of islands decreases and as a
result the number of periodic and quasi periodic orbits decreases.Fur-ther, the periodic orbits around Saturn and Sun
moves towards Sun by decreasing perturbation due to solar radiation pressure q
for a specific choice of Jacobi constant C. It is also observed that due to
solar radiation pressure, semi major axis and eccentricity of Sun centered
periodic orbit reduces, whereas, due to solar radiation pressure uniform change
in semi major axis and eccen-tricity of Saturn centered periodic orbits is
observed.