Numerical Stabilization of Orbital Motion |
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| Authors: | Victor A Avdyushev |
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| Institution: | (1) Celestial Mechanics and Astrometry Department, Applied Mathematics and Mechanics Institute, Tomsk, 634050, Russia, e-mail |
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| Abstract: | Mainly, the author focuses on Baumgarte's method and its applications in satellite, asteroid, stellar and planetary problems. In the paper arguments are given for the use of energy relations for stabilization in the elliptical two-body problem. Stabilizing properties of Baumgarte's equations and others are discussed. A simple approach is proposed for stabilizing the equations of almost circular motion. By using Baumgarte's technique, the author derives stabilized equations of perturbed restricted three-body problem. It is shown experimentally that stabilization in the problems mentioned above can raise the accuracy of numerical integration by several orders. |
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| Keywords: | Lyapunov's instability stabilization numerical integration orbital motion |
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