Integration error over very long time spans

DOI10.1007/BF01234550zbMath0664.70014OpenAlexW4251182144MaRDI QIDQ3815584

A. M. Nobili, Andrea Milani

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234550

zbMATH Keywords

numerical integrationtruncation errormultistep algorithmsplanetary orbits

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Applications to the sciences (65Z05) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

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Cites Work

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• Numerical integration of the equations of motion of celestial mechanics
• On the stability of hierarchical four-body systems
• Motions of the perihelions of Neptune and Pluto
• The solution of Kepler's equation, I
• The recently recognized failure of predictability in Newtonian dynamics
• New Runge-Kutta algorithms for numerical simulation in dynamical astronomy
• On the equinoctial orbit elements
• Stability criteria in many-body systems