The plane unrestricted threebody problem
Abstract
The Lagrangian coordinates of the unrestricted threebody problem with forces proportional to r_{ij}^{&}alpha; (r_{ij} are mutual distances between the bodies and α is an arbitrary real number not equal to 1) are chosen in such a way to make one of the equations of motion to be a LagrangeJacobi one. Cases of the unlimitedly increasing polar moment of inertia are specially considered. The paper contains the geometrical interpretation for the plane problem.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 August 1987
 Bibcode:
 1987AZh....64..860T
 Keywords:

 Celestial Mechanics;
 Three Body Problem;
 Equations Of Motion;
 Gravitational Fields;
 Jacobi Integral;
 Lagrange Coordinates;
 Astrophysics