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Few-Body Systems

, Volume 57, Issue 1, pp 83–91 | Cite as

Equilibrium Points in the Restricted Four-Body Problem with Radiation Pressure

  • Jagadish Singh
  • Aguda Ekele Vincent
Article

Abstract

This paper studies numerically the photogravitational version of the restricted four-body problem, where an infinitesimal particle is moving under the gravitational attraction and radiation pressure of three bodies much bigger than the particle, the primaries. The fourth body does not affect the motion of the three bodies. These bodies are always at the vertices of an equilateral triangle (Lagrange configuration). We consider all the primary bodies (m 1, m 2, m 3) as radiation sources with radiation factors of the two bodies (m 2 and m 3) equal. In this paper we suppose the masses of the three primary bodies are equal. It is found that the involved parameters influenced the positions of the equilibrium points. The linear stability of the relative equilibrium solutions is also studied and all these points are unstable.

Keywords

Equilibrium Point Radiation Pressure Equilateral Triangle Collinear Point Primary Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2015

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceAhmadu Bello UniversityZariaNigeria
  2. 2.Department of Mathematics and Statistics, School of TechnologyFederal Polytechnic, IdahIdahNigeria

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