Analytic solution of the two-body problem with slowly decreasing mass.

Details Analytic solution of the two-body problem with slowly decreasing mass. Analytic solution of the two-body problem with slowly decreasing mass.

Feb 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...318..657p&link_type=abstract

Astronomy and Astrophysics, v.318, p.657-661

Astronomy and Astrophysics

Astrophysics

9

Stars, Mass Loss, Binaries: Close, Celestial Mechanics, Methods: Analytical

Scientific paper

We intend to present an approximate analytic solution of the two-body problem with slowly decreasing mass which is obtained through the integration of the Hamilton equations using A. Deprit's method of perturbations. The solution, obtained through the law of mass variation ˙(m)=-α.m^n^ is put into practice in a specific case and compared with F. Mestschersky's exact equation (n=2) and with that which results from numerically integrating the equations.

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