Solution of canonical equations which result from elimination of short-periodic terms in second-order planetary theory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1982-04

AUTHORS

Jean Meffroy

ABSTRACT

We solve the first order non-linear differential equation and we calculate the two quadratures to which are reduced the canonical differential equations resulting from the elimination of the short period terms in a second order planetary theory carried out through Hori's method and slow Delaunay canonical variables when powers of eccentricities and the sines of semi-inclinations which are >3 are neglected and the eccentricity of the disturbing planet is identically equal to zero. The procedure can be extended to the case when the eccentricity of the disturbing planet is not identically equal to zero. In this latter general case, we calculatedthe two quadratures expressing angular slow Delaunay canonical variable λ1′ of the disturbed planet and angular slow Delaunay canonical variable λ2′ of the disturbing planet in terms of timet. More... »

PAGES

143-169

References to SciGraph publications

Journal

TITLE

The Moon and the Planets

ISSUE

2

VOLUME

26

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00929279

DOI

http://dx.doi.org/10.1007/bf00929279

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032260795


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