Version 1
: Received: 17 October 2022 / Approved: 19 October 2022 / Online: 19 October 2022 (10:06:06 CEST)
How to cite:
Quaintance, J.; Gingold, H. A Relative Difference System Involving Newton's Equations of Celestial Mechanics. Preprints2022, 2022100277. https://doi.org/10.20944/preprints202210.0277.v1
Quaintance, J.; Gingold, H. A Relative Difference System Involving Newton's Equations of Celestial Mechanics. Preprints 2022, 2022100277. https://doi.org/10.20944/preprints202210.0277.v1
Quaintance, J.; Gingold, H. A Relative Difference System Involving Newton's Equations of Celestial Mechanics. Preprints2022, 2022100277. https://doi.org/10.20944/preprints202210.0277.v1
APA Style
Quaintance, J., & Gingold, H. (2022). A Relative Difference System Involving Newton's Equations of Celestial Mechanics. Preprints. https://doi.org/10.20944/preprints202210.0277.v1
Chicago/Turabian Style
Quaintance, J. and Harry Gingold. 2022 "A Relative Difference System Involving Newton's Equations of Celestial Mechanics" Preprints. https://doi.org/10.20944/preprints202210.0277.v1
Abstract
We point out an inconsistency in Newton's equations of celestial mechanics. A set of differential equations implied by Newton's equations are shown to be free of this inconsistency. We then investigate the integrals of motion associated with this relative difference system.
Keywords
Newton's celestial mechanics equations; $N$-body problem; Kepler problem; relative difference; origin invariance; integrals of motion; conservation of energy; conservation of angular momentum; inertia; Lagrange-Jacobi formula; total collapse.
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
