Stability of Collinear Libration Points in the Three-Body Photogravitational Problem under Internal Resonance

DOI

https://doi.org/10.1109/STAB54858.2022.9807532
Final published version

Abdilda T. Tureshbaev
Elena N. Polyakhova

The photogravitational problem of three bodies with two radiating bodies is investigated. It is proved that the interaction of plane and 3D motions does not lead to explosive instability of the set of collinear libration points at two-frequency resonances of the third and fourth orders.

Original language	English
Title of host publication	Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022
DOIs	https://doi.org/10.1109/STAB54858.2022.9807532
State	Published - 1 Jan 2022
Event	16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022 - Moscow, Russian Federation Duration: 1 Jun 2022 → 3 Jun 2022

Conference

Conference	16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022
Country/Territory	Russian Federation
City	Moscow
Period	1/06/22 → 3/06/22

Research areas

libration points stability, photogravitational celestial mechanics, three-body-problem, two-frequency resonances

ID: 103263581