Multiple rendezvous maneuvers at synchronous altitude

Abstract

Rendezvous techniques between synchronous satellites were found using a cotangential elliptic phasing (CEP) transfer. This transfer is a closed elliptic orbit which is cotangent to the synchronous orbits of the chase vehicle and target satellite. The cotangent point lies on the line of apsides of the transfer orbit which coincides with the line of intersection of the synchronous orbits. The rendezvous maneuvers accomplish plane changes and phase shifts simultaneously, and these maneuvers are found to be optimal when the plane change is split equally between the velocity increments. The CEP transfer can be extended to several revolutions for a further reduction of fuel usage. A set of synchronous satellites was used in a simulated mission. An optimal sequence for rendezvous among these satellites was established such that the total sum of velocity increments is within the realm of estimated 1980 technology.