Mathematics
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...63...29b&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 63, no. 1, p. 29-66
Mathematics
Hamiltonian Functions, Jupiter (Planet), Neptune (Planet), Planetary Orbits, Saturn (Planet), Uranus (Planet), Canonical Forms, Mathematical Models, Poincare Problem, Poisson Equation
Scientific paper
We expand both parts, the principal and indirect, of the Hamiltonian function up to the third order in the masses for the four major planets Jupiter-Saturn-Uranus-Neptune. Accordingly we write down the secular terms of F1, F2, F3 and the critical terms of F1, F2 in terms of the canonical variables of H. Poincare neglecting powers higher than the second in H, K, P, Q.
Bakry Abdel Aziz
Kamel Osman M.
Waziry Salwa M.
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