Solution of the integral equations of figure for a quadratic density distribution

Details Solution of the integral equations of figure for a quadratic density distribution Solution of the integral equations of figure for a quadratic density distribution

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975sva....19...74z&link_type=abstract

(Astronomicheskii Zhurnal, vol. 52, no. 1, 1975, p. 125-138.) Soviet Astronomy, vol. 19, July-Aug. 1975, p. 74-80. Translation.

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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