<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The present paper investigates the motion of the variable infinitesimal body in circular restricted four variable bodies problem. We have constructed the equations of motion of the infinitesimal variable mass under the effect of source of radiation pressure due to which albedo effects are produced by another two primaries and one primary is considered as an oblate body which is placed at the triangular equilibrium point of the classical restricted three-body problem and also the variation of Jacobi Integral constant has been determined. We have studied numerically the equilibrium points, Poincaré surface of sections and basins of attraction in five cases (i. Third primary is placed at one of the triangular equilibrium points of the classical restricted three-body problem, ii. Variation of masses, iii. Solar radiation pressure, iv. Albedo effect, v. Oblateness effect.) by using Mathematica software. Finally, we have examined the stability of the equilibrium points and found that all the equilibrium points are unstable.</p></abstract>

The present paper investigates the motion of the variable infinitesimal body in circular restricted four variable bodies problem. We have constructed the equations of motion of the infinitesimal variable mass under the effect of source of radiation pressure due to which albedo effects are produced by another two primaries and one primary is considered as an oblate body which is placed at the triangular equilibrium point of the classical restricted three-body problem and also the variation of Jacobi Integral constant has been determined. We have studied numerically the equilibrium points, Poincaré surface of sections and basins of attraction in five cases (i. Third primary is placed at one of the triangular equilibrium points of the classical restricted three-body problem, ii. Variation of masses, iii. Solar radiation pressure, iv. Albedo effect, v. Oblateness effect.) by using Mathematica software. Finally, we have examined the stability of the equilibrium points and found that all the equilibrium points are unstable.

Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The present paper investigates the motion of the variable infinitesimal body in circular restricted four variable bodies problem. We have constructed the...

Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem

Published Online: Dec 12, 2017

Page range: 529 - 542

Received: Feb 09, 2017

Accepted: Dec 12, 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00044

Keywords
Albedo, Oblate body, Triangular equilibrium points, Stationary Points, Poincaré surface of sections, Basins of Attraction

© 2017 Abdullah A. Ansari, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem

Published Online: Dec 12, 2017

Page range: 529 - 542

Received: Feb 09, 2017

Accepted: Dec 12, 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00044

KeywordsAlbedo, Oblate body, Triangular equilibrium points, Stationary Points, Poincaré surface of sections, Basins of Attraction

© 2017 Abdullah A. Ansari, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Albedo, Oblate body, Triangular equilibrium points, Stationary Points, Poincaré surface of sections, Basins of Attraction