A series expansion of the gravitational potential of an inhomogeneous ellipsoid

Details A series expansion of the gravitational potential of an inhomogeneous ellipsoid A series expansion of the gravitational potential of an inhomogeneous ellipsoid

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986primm..50..194k&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 50, Mar.-Apr. 1986, p. 194-199. In Russian.

Statistics

Applications

Ellipsoids, Gravitational Fields, Inhomogeneity, Libration, Motion Stability, Series Expansion, Algorithms, Recursive Functions, Taylor Series

Scientific paper

An algorithm for the sequential calculation of the partial derivatives of the gravitational potential of an inhomogeneous ellipsoid is developed which makes it possible to obtain a series expansion of this function. The corresponding recursive procedures are demonstrated. The coefficients of the Taylor series of the potential can be used for the stability analysis of libration points. Applications of the results are discussed.

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