THE EFFECT OF SOLAR RADIATION PRESSURE AND PLANET OBLATENESS ON THE LOCATION AND STABILITY OF LAGRANGIAN POINTS IN SOLAR SYSTEM PLANETS

Mohamed R. Amin
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Mohamed R. Amin: Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass, Saudi Arabia2Department of Theoretical Physics, National Research Centre, Dokki, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-10

Abstract: The combined effect of the solar radiation pressure and the oblateness of the planets on the position and stability of the Lagrangian points within the restricted elliptic three-body problem was studied. We found that the solar radiation pressure and planet oblateness slightly changed the location of the Lagrangian points. New formulas for the location of the collinear points using the Lagrange inversion method were introduced. For large values of the force ratio B; the ratio between the solar radiation force and the gravitational attraction force due to the Sun; we found that the collinear point L3 is stable.

Keywords: Elliptic Restricted Three-body Problem; Solar Radiation Pressure; Oblateness; Liberation Points; Stability (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402484

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