Regularization of the two body problem with variable mass

Details Regularization of the two body problem with variable mass Regularization of the two body problem with variable mass

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..141g&link_type=abstract

Celestial Mechanics, vol. 10, Oct. 1974, p. 141-149.

Other

1

Celestial Mechanics, Equations Of Motion, Two Body Problem, Variable Mass Systems, Angular Momentum, Canonical Forms, Gravitational Effects, Hamiltonian Functions, Linearity, Regularity

Scientific paper

Under certain simplifying conditions the two body problem with variable mass considered by Jeans (1928) in the study of the evolution of a binary system can be represented by a differential equation of the second order containing the position vector of one body with respect to the other and the total mass of the binary system as a function of time. The equation is regularized by using the regularization approach of Levi-Civita (1903). Another transformation produces equations which can be treated with analytic compilers considered by Rom (1970, 1971).

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