Mathematical Physics

    

Intrinsic Dynamical Equations of the Three-Body System and the Gravitational Superposition Theorem

Authors: Jinyong Liu

This paper addresses a classic core challenge in celestial mechanics—the three-body problem. Based on the fundamental axioms of Newtonian mechanics, we rigorously derive and prove a universal "Gravitational Superposition Theorem." This theorem states that the total gravitational field produced at any point in the external space by a finite set of point masses is completely equivalent to the gravitational field produced by a single point mass located at the system's center of mass, with a mass equal to the sum of the individual masses. Using this theorem as a cornerstone, the classical three-body problem can be precisely reduced to three strictly analytically solvable two-body relative motion problems.This research not only provides a theoretically self-consistent and mathematically complete framework for the long-standing three-body problem but also fundamentally reconstructs the theoretical paradigm and logical starting point for modeling multi-body gravitational systems.

Comments: 13 Pages. (Note by viXra Admin: For the last time, please cite and list scientific references!)

Download: PDF

Submission history

[v1] 2026-02-21 19:49:34

Unique-IP document downloads: 109 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus