Abstract <p>In the framework of photogravitational axisymmetric restricted five-body problem (PAR5BP), the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analyzed numerically along with good agreement of the graphical results. We have determined the dynamics of the infinitesimal mass in the PAR5BP. We have determined the locations of the libration points (LPs) in the convex configuration. Further, the parametric evolution of the equilibrium points as the function of radiation parameter has been shown. The stability along with the zero velocity surface associated with the libration points are also investigated. It has been observed that none of the libration point is stable for any value of considered parameters.</p>

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Photogravitational Axisymmetric Restricted Five-Body Problem

  • Prachi Sachan,
  • Rajiv Aggarwal,
  • Amit Mittal

摘要

Abstract

In the framework of photogravitational axisymmetric restricted five-body problem (PAR5BP), the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analyzed numerically along with good agreement of the graphical results. We have determined the dynamics of the infinitesimal mass in the PAR5BP. We have determined the locations of the libration points (LPs) in the convex configuration. Further, the parametric evolution of the equilibrium points as the function of radiation parameter has been shown. The stability along with the zero velocity surface associated with the libration points are also investigated. It has been observed that none of the libration point is stable for any value of considered parameters.