Numerical stabilization of all laws of conservation in the many body problem |
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| Authors: | J Baumgarte |
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| Institution: | (1) Mechanik-Zentrum, Lehrstuhl A, Technische Universität Braunschweig, West-Germany |
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| Abstract: | When a system of differential equations admits a first integral (e.q. the law of energy), the value of that integral may be used as a check during the numerical integration. Often this check is satisfied with poor accuracy since the existence of the first integral is unknown to the computer. The aim of the paper is to show how such a first integral can be satisfied with better accuracy and in a stabilized manner by adding an appropriate control term to the differential system. The accuracy of the numerical integration is thereby improved. The basic idea is applied to the problem ofN bodies.Presented at the Conference on Celestial Mechanics, Oberwolfach, Germany, August 27–September 2, 1972. |
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