DIVULGING THE COMBINED EFFECTS OF RADIATION, PERTURBATIONS, AND MASS VARIATIONS ON MOTION AROUND AXIAL EQUILIBRIUM POINTS OF THE ROBE’S R3BP
Abstract
This paper discloses the combined effects of radiation, perturbations, and mass variations on the motion of an artificial satellite around the axial equilibrium points (AEPs) of the Robe’s circular restricted three-body problem (RCR3BP). The set-up is such that the masses of the primaries vary with time in accordance with the unified Mestschersky law, and their motion is governed by the Gylden-Mestschersky equation with the further assumption that the second primary (Moon) is a source of radiation and that small perturbations in the Coriolis and centrifugal forces are effective. The non-autonomous dynamical equations are deduced and transformed into the autonomized forms under the condition that the first primary contains no fluid. We investigate the axial equilibrium points and find that the variable mass parameter affects the points due to the centrifugal perturbation and consequently yields finitely many AEPs inside the first primary. These points collinear with the center of the first primary and are defined by the mass parameter, centrifugal force perturbation, radiation pressure factor of the second primary, and variable mass parameter. We also investigated the stability and found that the axial equilibrium points are stable. We applied the study to the motion of an artificial satellite in gravitational environment of the Earth and a radiating Moon. It is seen that the AEP are unstable numerically. Further, we explore the zero-velocity curves of the satellite around the AEPs and observe that the motion of the satellite is possible inside the Earth’s sphere in some range of the variable mass parameter but is restricted when the mass gain is high.
Keywords:
Motion, Axial Equilibrium Points, Earth-Moon System, Artificial SatelliteDownloads
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Copyright (c) 2025 Oni Leke, Kwaghnzua Barnabas, Ashezua Timothy
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