Publication:
A new conservative scheme for solving the two body problem

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Authors
Neta, Beny
Ilan-Lipowski, Yoram
Subjects
Two Body Problem
Conservative Scheme
Advisors
Date of Issue
1988-08
Date
1988-08
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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)
Type
Technical Report
Description
Series/Report No
Department
Applied Mathematics
Identifiers
NPS Report Number
NPS-53-88-009
Sponsors
Funder
Format
Citation
Distribution Statement
Rights
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.
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