Stability of Triangular Equilibrium Points in the Photogravitational R3BP When both Primaries are Oblate Spheroid and Effect of Radiation

In this study, we have examined the stability of triangular equilibrium points in the photogravitational restricted three- body problems (R3BP) as well as the effect of radiation, where both primaries are oblate spheroid. The results confirm the position of triangular equilibrium points of our probl...

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Bibliographic Details
Published in:Romanian Journal of Acoustics and Vibration 2020-01, Vol.17 (1), p.10-15
Main Authors: Kumar, Avdhesh, Sharma, Ashish Kumar
Format: Article
Language:English
Subjects:
Eigenvalues
Eigenvectors
Equations of motion
Oblate spheroids
Orbits
Radiation effects
Radiation pressure
Stability
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Summary:In this study, we have examined the stability of triangular equilibrium points in the photogravitational restricted three- body problems (R3BP) as well as the effect of radiation, where both primaries are oblate spheroid. The results confirm the position of triangular equilibrium points of our problem and it also depicts that the equations of motion are affected by radiation pressure force, oblateness and sources of radiation. Stability conditions were discussed using the characteristic equation. All classical results involving photogravitational and oblateness in R3BP may be verified in the near future employing this result.
ISSN:1584-7284
2602-0351