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Analysis of Effect of Oblateness of Smaller Primary on the Evolution of Periodic Orbits
Department of Mathematics, Dharmsinh Desai University, Nadiad, India
Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, India
- 1 Department of Mathematics, Dharmsinh Desai University, Nadiad, India
- 2 Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, India
International Journal of Astronomy and Astrophysics·Volume 06 (2016)·Pages 440–463·Published 9 November 2016·DOI10.4236/ijaa.2016.64036
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Abstract
Evolution of periodic orbits in Sun-Mars and Sun-Earth systems are analyzed using Poincare surface of section technique and the effects of oblateness of smaller primary on these orbits are considered. It is observed that oblateness of smaller 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 planetary oblateness has to be understood and should be taken care of during trajectory design. In this paper , detailed stability analysis of periodic orbit having three loops is given for A 2 = 0.0001.
KeywordsRestricted Three Body ProblemLow Energy Trajectory DesignPeriodic OrbitsOblatenessPoincare Surface of Section
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