Regularization of the Two Body Problem with Variable Mass
Abstract
Using Levi Civita's regularization, we put the two body problem with variable mass (x=Mxr ^{3}) into a form which can be solved analytically on computer. Two particular cases are discussed: 1.dot M=C ^{ te }; 2.dot M÷M ^{α} (α unspecified).
 Publication:

Celestial Mechanics
 Pub Date:
 October 1974
 DOI:
 10.1007/BF01227613
 Bibcode:
 1974CeMec..10..141G
 Keywords:

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