Abstract: The equations of motion derived in this paper are aimed to determine according to the post-Newtonian framework the relative motion of Earth satellites with respect to inertial guided space Acquisition, Pointing and Tracking systems. The equations are suitable for satellites that are even far from the systems. The tool used to derive them is Synge’s world-function for the Earth surrounding space. Hence the equations are written in terms of the quasi-Cartesian coordinates tied to the systems.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Jose M. Gambi, Maria L. Garcia Del Pino, "Post-Newtonian Equations of Motion for Inertial Guided Space APT Systems," WSEAS Transactions on Mathematics, vol. 14, pp. 256-264, 2015, DOI:
Jose M. Gambi, Maria L. Garcia Del Pino. Post-Newtonian Equations of Motion for Inertial Guided Space APT Systems.
WSEAS Transactions on Mathematics. 2015;14:256-264.