Statistics – Applications
Scientific paper
Jul 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..249p&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 249-261.
Statistics
Applications
Celestial Mechanics, Conservation Equations, Discrete Functions, Equations Of Motion, Two Body Problem, Geosynchronous Orbits, Jupiter (Planet), Oblate Spheroids, Orbital Elements, Precession
Scientific paper
An investigation about Discrete Mechanics in Celestial Mechanics applications has been carried out. The method shows a remarkable precession of the argument of pericentre, whose value depends mainly on the time step scaling used and on the length of the integration step. It has been found that this is due to the structure of Discrete Mechanics and that the precession, taken as a function of the length of the integration step, follows with good agreement an inverse square law. The existence of this relationship allowed the development of a modified version of the method: its consistence with respect to the original one is discussed. Furthermore the Modified Discrete Mechanics allowed the extension of the method to the case of the potential due to an oblate spheroid.
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