The determination of the derivatives in Brown's lunar theory

Details The determination of the derivatives in Brown's lunar theory The determination of the derivatives in Brown's lunar theory

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28..201m&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, Aug. 24-28, 1981.) Celestial Mechani

Mathematics

1

Celestial Mechanics, Hamiltonian Functions, Matrices (Mathematics), Differential Equations, Moon, Variational Principles

Scientific paper

It is shown that Brown's (1903, 1908) method follows from the fact that
the solution matrix T, and T(t), are sympletic matrices. Three cases of
such variational equations of a Hamiltonian system are discussed, of
which the last gives a simple proof for Brown's lunar theory method.

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