Formation Maintenance and Fuel Balancing for Satellites with Impulsive Control

摘要

A method for long-term formation maintenance and inter-satellite fuel balancing based on a two-impulse-per-orbit scheme is presented. Impulse magnitudes and their application times are obtained analytically from Gauss' variational equations. The target states are determined from the mean elements of the reference orbit and the desired mean differential elements for each satellite. Minor, control-induced, periodic variations in the mean orbital elements of the satellites are introduced for fuel balancing. The proposed methodology is verified by numerical integrations of the equations of motion of the satellites under the influence of thrust and the earth's oblateness perturbation. An example of maintaining seven satellites in a projected circular formation with respect to a low earth reference orbit, over a period of one year, is considered to demonstrate the efficacy of the proposed method.