Evolution of Periodic Orbits in the Sun-Saturn SystemReport as inadecuate




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We analyze the periodic orbits, quasi periodic orbits and chaotic orbitsin the photo gravitational Sun-Saturn system incorporating actual oblateness ofSaturn in the planar circular restricted three body problem. In this paper, westudy the effect of solar radiation pressure on the location of Sun centeredand Saturn centered orbits, its diameter, semi major axis and eccentricity bytaking different values of solar radiation pressure q and different values ofJacobi constant -C-, and by considering actual oblateness of Saturn usingPoincare surface of section PSS method. It is ob-served that by the introduction of perturbing force due to solarradiation pressure admissible range of Jacobi constant C decreases, it is alsoobserved that as value of C decreases the number of islands decreases and as aresult the number of periodic and quasi periodic orbits decreases.Fur-ther, the periodic orbits around Saturn and Sunmoves towards Sun by decreasing perturbation due to solar radiation pressure qfor a specific choice of Jacobi constant C. It is also observed that due tosolar radiation pressure, semi major axis and eccentricity of Sun centeredperiodic orbit reduces, whereas, due to solar radiation pressure uniform changein semi major axis and eccen-tricity of Saturn centered periodic orbits isobserved.

KEYWORDS

Restricted Three Body Problem, Sun-Saturn System, Periodic Orbits, Quasi Periodic Orbits, Chaotic Orbits, Photo Gravitation, Oblateness, Poincare Surface Section

Cite this paper

Pathak, N. , Sharma, R. and Thomas, V. 2016 Evolution of Periodic Orbits in the Sun-Saturn System. International Journal of Astronomy and Astrophysics, 6, 175-197. doi: 10.4236-ijaa.2016.62015.





Author: Niraj Pathak1, R. K. Sharma2, V. O. Thomas3

Source: http://www.scirp.org/



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