Location and stability of the triangular Lagrange points in photo-gravitational elliptic restricted three body problem with the more massive primary as an oblate spheroid

Authors

  • A. Arantza Jency Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India
  • Ram Krishan Sharma

DOI:

https://doi.org/10.14419/ijaa.v7i2.29814

Published:

2019-11-05

Keywords:

Mean Motion, Planar ERTBP, Oblateness, Radiation Pressure, Critical Mass Ratio, Triangular Lagrangian Points, Transition Curves.

Abstract

The triangular Lagrangian points of the elliptic restricted three-body problem (ERTBP) with oblate and radiating more massive primary are studied. The mean motion equation used here is different from the ones employed in many studies on the perturbed ERTBP. The effect of oblateness on the mean motion equation varies. This change influences the location and stability of the triangular Lagrangian points. The points tend to shift in the y-direction. The influence of the oblateness on the critical mass ratio is also altered. But the eccentricity limit  for stability remains the same.

 

 

 

Author Biography

A. Arantza Jency, Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India

Professor

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