A new conservative scheme for solving the two body problem
newconservatives00neta.pdf (846.4Kb)Abstract
The well known Stormer-Cowell class of linear k-step methods for the solution of second order initial value problems suffer from orbital instability. The solution of a problem describing a uniform motion in a circular orbit, spirals inward. Several modifications were suggested, some require the a-priori knowledge of the frequency. A method is developed here based on the conservation of energy and momentum. This method overcomes the aforementioned difficulty. Keywords: Two body problem, Conservative scheme. (jhd)
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.NPS Report Number
NPS-53-88-009Related items
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