A new radial intermediary and its numerical integration.

Details A new radial intermediary and its numerical integration. A new radial intermediary and its numerical integration.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..217s&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 217 - 222

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Artificial Satellites: Orbit Theory

Scientific paper

The zonal artificial satellite is presented in polar-nodal variables considering all the harmonics and, taking into account the importance that the radial intermediaries have in the satellite theory, the authors present another alternative to the second order analytical methods of Deprit (1981), Alfriend band Coffey (1984). This process consists of the application of two Lie-transformations in order to simplify the Hamiltonian and obtaining finally a new radial intermediary which only contains the even harmonics. A twelfth-order Cowell method with a fixed Cid's and Deprit's intermediaries (until first order) with respect to the main problem solution.

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