On the Additional Perturbation Due to the Change of Coordinate System of Earth Satellites and the Choice of Reference Systems

Early in the 1960s, there had been two geocentric equatorial coordinate systems to deal with the vibration of earth's equator, namely the Geocentric Equatorial Inertial Coordinate Systems (Mean Equator Mean Equinox, MEME) and the Geocentric True Equator Mean Equinox Coordinate Systems (TEME, also referred to as the Orbital Coordinate System). The adoption of the latter definition could avoid the trouble caused by the additional perturbation due to the change of coordinate system, while bring in disagreement and extra coordinate transformation with the MEME. This paper provides a solution to eliminate redundant transformation by giving analytical perturbation formulae directly in the MEME. In that case, the TEME is no longer necessary in orbit determination and forecast for all related work could be done in a uniform MEME coordinate system (now it's of Epoch J2000.0).