Vt. Coppola et J. Palacian, ELIMINATION OF THE LATITUDE IN ARTIFICIAL-SATELLITE THEORY, The Journal of the astronautical sciences, 42(1), 1994, pp. 27-34
We demonstrate that the elimination of the latitude simplification dev
eloped by Deprit and Ferrer cannot produce unique results. After expla
ining the source of the non-uniqueness, we report two (and indeed a fa
mily of) distinct second order Hamiltonians for the main problem in ar
tificial satellite theory produced using their algorithm.