Ali Abdulhussein, Harry Gingold, Jocelyn Quaintance, "When the Future Perfectly Reflects the Past in Celestial Mechanics," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 20, pp. 18-30, 2025, DOI:10.37394/232011.2025.20.3
Ali Abdulhussein, Harry Gingold, Jocelyn Quaintance. When the Future Perfectly Reflects the Past in Celestial Mechanics.
WSEAS Transactions on Applied and Theoretical Mechanics. 2025;20:18-30. 10.37394/232011.2025.20.3
WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 20, 2025
When the Future Perfectly Reflects the Past in Celestial Mechanics
Authors: , ,
Abstract: Newton’s equations of celestial mechanics for the N-body problem possess a continuum of solutions
in which the future trajectories are a perfect reflection of their past. These solutions evolve from zero initial
velocities of the N bodies. Consequently, the future gravitational forces acting on the N bodies are also a perfect
reflection of their past. The proof is carried out via Taylor series expansions.
Pages: 18-30 WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 20, 2025, Art. #3 DOI: 10.37394/232011.2025.20.3
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