Advances in Astrophysics

Interior Resonance Periodic Orbits in Photogravitational Restricted Three-body Problem

Download PDF (1897.3 KB) PP. 25 - 34 Pub. Date: February 1, 2017

DOI: 10.22606/adap.2017.21004

Author(s)

Nishanth Pushparaj
Department of Aerospace Engineering, Karunya University, Coimbatore – 641114, Tamilnadu, India
Ram Krishan Sharma
Department of Aerospace Engineering, Karunya University, Coimbatore – 641114, Tamilnadu, India

Abstract

Interior resonance periodic orbits around the Sun in the Sun-Jupiter photogravitational restricted three-body problem using the method of Poincaré surface of section are studied. The nature, stability and location of these periodic orbits with interior resonances of 2:1, 3:2 and 4:3 are generated for different values of Jacobi constant C. It is found that with the increase in the value of C, these orbits transform to tidal lock, which is a rare case of resonance with 1:1. The period of time for these orbits is found to decrease with the increase in the Sun’s radiation pressure. The oblateness of Jupiter is found to increase the period of time for these orbits marginally.

Keywords

Interior resonance, periodic orbits, Poincaré surface of section, solar radiation pressure, oblateness, tidal lock.

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