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Unveiling the influence of the radiation pressure in nature of orbits in the photogravitational restricted three-body problem

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Abstract

The case of the planar circular photogravitational restricted three-body problem where the more massive primary is an emitter of radiation is numerically investigated. A thorough numerical analysis takes place in the configuration \((x,y)\) and the \((x,C)\) space in which we classify initial conditions of orbits into three main categories: (i) bounded, (ii) escaping and (iii) collisional. Our results reveal that the radiation pressure factor has a huge impact on the character of orbits. Interpreting the collisional motion as leaking in the phase space we related our results to both chaotic scattering and the theory of leaking Hamiltonian systems. We successfully located the escape as well as the collisional basins and we managed to correlate them with the corresponding escape and collision times. We hope our contribution to be useful for a further understanding of the escape and collision properties of motion in this interesting version of the restricted three-body problem.

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Notes

  1. We choose the \(\dot{\phi} < 0\) instead of the \(\dot{\phi} > 0\) part simply because in Zotos (2015a) we seen that it contains more interesting orbital content.

  2. An infinite number of regions of (stable) quasi-periodic (or small scale chaotic) motion is expected from classical chaos theory.

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Acknowledgements

I would like to express my warmest thanks to the anonymous referee for the careful reading of the manuscript and for all the apt suggestions and comments which allowed us to improve both the quality and the clarity of the paper.

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  1. Department of Physics, School of Science, Aristotle University of Thessaloniki, 541 24, Thessaloniki, Greece

    Euaggelos E. Zotos

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Zotos, E.E. Unveiling the influence of the radiation pressure in nature of orbits in the photogravitational restricted three-body problem. Astrophys Space Sci 360, 1 (2015). https://doi.org/10.1007/s10509-015-2513-2

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