Canonical orbital elements in terms of an arbitrary independent variable

Details Canonical orbital elements in terms of an arbitrary independent variable Canonical orbital elements in terms of an arbitrary independent variable

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23..159b&link_type=abstract

Celestial Mechanics, vol. 23, Feb. 1981, p. 159-172.

Physics

11

Canonical Forms, Independent Variables, Numerical Integration, Orbit Perturbation, Orbital Elements, Two Body Problem, Anomalies, Conjugates, Hamiltonian Functions, Three Body Problem, Time Functions

Scientific paper

Within the framework of the Hamiltonian mechanics in the extended phase space, a set of canonical elements of the Delaunay type is developed in terms of an arbitary independent angular variable. Application to the four classical anomalies - eccentric, true, elliptic, and mean - is presented. Particular attention is given to the generalized time equation and its conjugate energy equation.

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