Analysis of Effect of Solar Radiation Pressure of Bigger Primary on the Evolution of Periodic Orbits - International Journal of Astronomy and Astrophysics

IJAA > Vol.6 No.4, December 2016

International Journal of Astronomy and Astrophysics

Volume 6, Issue 4 (December 2016)

ISSN Print: 2161-4717 ISSN Online: 2161-4725

Google-based Impact Factor: 0.78 Citations h5-index & Ranking

Analysis of Effect of Solar Radiation Pressure of Bigger Primary on the Evolution of Periodic Orbits ()

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DOI: 10.4236/ijaa.2016.64037 1,384 Downloads 2,428 Views Citations

Author(s)

Niraj Pathak¹, V. O. Thomas²

Affiliation(s)

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

ABSTRACT

Evolution of periodic orbits in Sun-Mars and Sun-Earth systems are analyzed using Poincare surface of section technique and the effects of solar radiation pressure of bigger primary and actual oblateness of smaller primary on these orbits areconsidered. It is observed that solar radiation pressure of bigger primary has substantial effect on period, orbit’s shape, size and their position in the phase space. Since these orbits can be used for the design of low energy transfer trajectories, so perturbations due to solar radiation pressure has to be understood and should be taken care of during trajectory design. It is also verified that stability of such orbits are negligible so they can be used as transfer orbit. For each pair of solar radiation pressure q and Jacobi constant C we get two separatrices where stability of island becomes zero. In this paper, detailed stability analysis of periodic orbit having two loops is given when q = 0.9845.

KEYWORDS

Restricted Three Body Problem, Low Energy Trajectory Design, Periodic Orbits, Solar Radiation Pressure, Poincare Surface of Section

Share and Cite:

Pathak, N. and Thomas, V. (2016) Analysis of Effect of Solar Radiation Pressure of Bigger Primary on the Evolution of Periodic Orbits. International Journal of Astronomy and Astrophysics, 6, 464-493. doi: 10.4236/ijaa.2016.64037.

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