Solution of integral equations of figure theory for a quadratic density distribution law

Details Solution of integral equations of figure theory for a quadratic density distribution law Solution of integral equations of figure theory for a quadratic density distribution law

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975azh....52..125z&link_type=abstract

Astronomicheskii Zhurnal, vol. 52, no. 1, 1975, p. 125-138. In Russian.

Astronomy and Astrophysics

Astronomy

Density Distribution, Integral Equations, Planetary Gravitation, Planetary Mass, Power Series, Differential Equations, Functionals, Gravitational Fields

Scientific paper

An analytic solution of the equations of the figure theory for a quadratic density distribution is obtained in the form of power series with recurrent relations. Expressions are derived for the parameters e, k, and h with third-order compression accuracy. It is shown that the functional form of the parameters e and k is maintained in this approximation.

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