The Two-Center Problem in the Lobachevsky Space
For the first time the problem of studying the dynamics in spaces of constant negative curvature was posed by Lobachevsky. This fact is of great interest because already in those years it was possible to obtain the expression for the potential that is generated by a gravitating Enter. As is well known  the analog of the Newtonian potential 1/r in the Lobachevsky space is the function cth r.
KeywordsBifurcation Diagram Mass Point Configuration Space Plane Case Tangent Point
Unable to display preview. Download preview PDF.