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- W4226377370 abstract "Isaac Newton formulated the central difference algorithm (Eur. Phys. J. Plus (2020) 135:267) when he derived his second law. The algorithm is under various names (Verlet, leap-frog,...) the most used algorithm in simulations of complex systems in Physics and Chemistry, and it is also applied in Astrophysics. His discrete dynamics has the same qualities as his exact analytic dynamics for contineus space and time with time reversibility, symplecticity and conservation of momentum, angular momentum and energy. Here the algorithm is extended to include the fusion of objects at collisions. The extended algorithm is used to obtain the self-assembly of celestial objects at the emergence of planetary systems. The emergence of twelve planetary systems is obtained. The systems are stable over very long times, even when two planets collide or if a planet is engulfed by its sun." @default.
- W4226377370 created "2022-05-05" @default.
- W4226377370 creator A5025642972 @default.
- W4226377370 date "2022-01-06" @default.
- W4226377370 modified "2023-10-13" @default.
- W4226377370 title "An algorithm for coalescence of classical objects and formation of planetary systems" @default.
- W4226377370 doi "https://doi.org/10.48550/arxiv.2201.02195" @default.
- W4226377370 hasPublicationYear "2022" @default.
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