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Oblateness effect of Saturn on periodic orbits in the Saturn-Titan restricted three-body problem

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Abstract

We explore the effect of oblateness of Saturn (more massive primary) on the periodic orbits and the regions of quasi-periodic motion around both the primaries in the Saturn-Titan system in the framework of planar circular restricted three-body problem. First order interior and exterior mean motion resonances are located. The effect of oblateness is studied on the location, nature and size of periodic and quasi-periodic orbits, using the numerical technique of Poincare surface of sections. Some of the periodic orbits change to quasi-periodic orbits due to the effect of oblateness and vice-versa. The stability of the orbits around Saturn, Titan and both varies with the inclusion of oblateness. The centers of the periodic orbits around Titan move towards Saturn, whereas those around Saturn move towards Titan. For the orbit around Titan at C=2.9992, x=0.959494, the apocenter becomes pericenter. By incorporating oblateness effect, the orbit around Titan at C=2.99345, x=0.924938 is captured by Saturn, remains in various trajectories around Saturn, and as time progresses it spirals away around both the primaries.

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Authors and Affiliations

  1. Department of Mathematics, College of Engineering, Thiruvananthapuram, 695016, India

    A. Safiya Beevi

  2. Department of Aerospace Engineering, Karunya School of Mechanical Sciences, Karunya University, Karunya Nagar, Coimbatore, 641114, Tamil Nadu, India

    R. K. Sharma

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  1. A. Safiya Beevi
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  2. R. K. Sharma
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Correspondence to A. Safiya Beevi.

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Safiya Beevi, A., Sharma, R.K. Oblateness effect of Saturn on periodic orbits in the Saturn-Titan restricted three-body problem. Astrophys Space Sci 340, 245–261 (2012). https://doi.org/10.1007/s10509-012-1052-3

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