Some useful coordinate systems to discuss the apogee motor firing optimization

This paper introduces five useful coordinate systems to optimize the apogee motor firing of a geostationary satellite. This optimization minimizes the propellant consumption for station acquisition manoeuvres. The coordinate systems used for this purpose must depict the optimization parameters together with the propellant consumption. In order to get the propellant consumption, some relations between parameters are derived and the equipropellant lines (planes) are drawn in the coordinate systems. These coordinate systems are used not only for the optimization of the apogee motor firing but also for the optimization of the station acquisition strategy, the transfer orbit setting and the apogee motor sizing.