Propagation of local errors in the solutions of the differential equations for orbital elements

Details Propagation of local errors in the solutions of the differential equations for orbital elements Propagation of local errors in the solutions of the differential equations for orbital elements

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..27..203b&link_type=abstract

Celestial Mechanics, vol. 27, June 1982, p. 203-210.

Physics

Differential Equations, Error Analysis, Hamiltonian Functions, Orbit Perturbation, Orbital Elements, Two Body Problem, Eccentric Orbits, Jacobi Matrix Method, Orbit Calculation

Scientific paper

The propagation of errors in the solutions of the differential equations for the orbital elements of perturbed two-body motion is investigated. It is shown that the error in the time-element grows linearly for differential equations for orbital elements when only perturbations are present on the right-hand side, cubically for formulations which have a two-body term on the right-hand side, and linearly for formulations based upon extended phase space Hamiltonians.

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