<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the existence of periodic orbits in a three-dimensional coordinate system when <italic>μ</italic> = 0. Finally, it establishes the canonical set (<italic>l</italic>, <italic>L</italic>, <italic>g</italic>, <italic>G</italic>, <italic>h</italic>, <italic>H</italic>) and forms the basic general perturbation theory for the problem.</p>
</abstract>

In this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the existence of periodic orbits in a three-dimensional coordinate system when μ = 0. Finally, it establishes the canonical set (l, L, g, G, h, H) and forms the basic general perturbation theory for the problem.

Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body

Department of Mathematics, Maharaja Agrasen College

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the...

Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body

Published Online: Dec 31, 2020

Page range: 429 - 438

Received: Apr 06, 2020

Accepted: Jul 17, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00076

Keywords
restricted three problem, Levi-Civita transformation, periodic orbits, triaxial rigid body

© 2020 Awadhesh Kumar Poddar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body

Published Online: Dec 31, 2020

Page range: 429 - 438

Received: Apr 06, 2020

Accepted: Jul 17, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00076

Keywordsrestricted three problem, Levi-Civita transformation, periodic orbits, triaxial rigid body

© 2020 Awadhesh Kumar Poddar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
restricted three problem, Levi-Civita transformation, periodic orbits, triaxial rigid body