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Derivation and Properties of the Angular Momentum Relative Amended Potential

Published online by Cambridge University Press:  16 October 2024

Daniel J. Scheeres Open the ORCID record for Daniel J. Scheeres [Opens in a new window]
Daniel J. Scheeres*
Affiliation:
Smead Department of Aerospace Engineering Sciences University of Colorado Boulder
*
email: scheeres@colorado.edu
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Abstract

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The paper concerns the determination of the Angular Momentum Relative Amended Potential (AMR potential) in the framework of the Full n-Body problem and some of its basic properties are discussed. The AMR potential is derived using two different approaches : first using a Routh reduction of the system relative to rotation about the total angular momentum, second as a variation of the Sundman Inequality, using the Cauchy inequality.

Keywords

Amended PotentialFull Body ProblemRouth Reduction
Type
Contributed Paper
Information
Proceedings of the International Astronomical Union , Volume 18 , Symposium S382: Complex Planetary Systems II: Latest Methods for an Interdisciplinary Approach , December 2022 , pp. 41 - 50
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

References

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