Abstract:
This paper describes our extended Sinclair-Morley analytical theory for the Martian Satellites. The theory's foundation is the artificial satellite theory of Brouwer. In the paper, we outline the original theory, present our modifications and additional terms, and compare the theory with numerical integration. We also provide a comparison with one of the competing dynamical Martian satellite theories, namely the ESAPHO/ESADE theory of Chapornt-Touzé.