Surfaces of Zero-Velocity in a Restricted Equal Mass Four Body Problem

B. Steves¹, A. Roy²
1 Glasgow Caledonian University, U.K.
2 University of Glasgow, U.K.

The Caledonian problem introduced in a recent paper by the authors is reduced to its simplest form by employing all possible symmetries. It is shown that the simplicity of the model enables zero-velocity surfaces to be found from the energy integral and expressed in a three dimensional space in terms of three distances from the 4 body system's centre of mass, namely r1, r2 and R, where r1 and r2 are the distances of two of the bodies and R is the distance of their centre of mass.

Download this abstract as [tex] or [html]