First- and second-order isochronous derivatives in the two-body problem

Details First- and second-order isochronous derivatives in the two-body problem First- and second-order isochronous derivatives in the two-body problem

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978kosis..16..481b&link_type=abstract

Kosmicheskie Issledovaniia, vol. 16, July-Aug. 1978, p. 481-491. In Russian.

Astronomy and Astrophysics

Astronomy

2

Astrodynamics, Numerical Control, Orbital Mechanics, Spacecraft Orbits, Two Body Problem, Circular Orbits, Computer Techniques, Differential Equations, Hamiltonian Functions, Parabolic Flight, Spacecraft Control

Scientific paper

A method is proposed for solving a conjugate system of variational equations for evaluating the first- and second-order isochronous derivatives in the two-body problem. Relations suitable for orbits of any type are derived in a form convenient for computer application. For nonparabolic orbits, the relations assume a simple form. In addition, formulas for the isochronous derivatives with respect to the gravitational parameter are proposed.

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