Abstract
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, we present another alternative to the second order analytical methods of Deprit (1981), Alfriend and Coffey (1984). This process consists of the application of two Lie-trans formations 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 step size of 100 seconds is applied to compare the solution of the Cid’s and Deprit’s intermediaries (until first order) with respect to the main problem solution.
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© 1988 Kluwer Academic Publishers
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Sein-Echaluce, M.L., Franco, J.M. (1988). A New Radial Intermediary and its Numerical Integration. In: Roy, A.E. (eds) Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems. NATO ASI Series, vol 246. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3053-7_19
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DOI: https://doi.org/10.1007/978-94-009-3053-7_19
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