Variational formulae for solving perturbed boundary-value problems in astrodynamics

Details Variational formulae for solving perturbed boundary-value problems in astrodynamics Variational formulae for solving perturbed boundary-value problems in astrodynamics

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18..371k&link_type=abstract

Celestial Mechanics, vol. 18, Nov. 1978, p. 371-382.

Mathematics

Astrodynamics, Boundary Value Problems, Kepler Laws, Numerical Integration, Orbit Perturbation, Celestial Mechanics, Equations Of Motion, Flyby Missions, Interplanetary Trajectories, Jacobi Matrix Method, Matrices (Mathematics), Spacecraft Trajectories, Transformations

Scientific paper

The KS-transformation is used to demonstrate the uniform valid state transition matrix of pure Keplerian motion. Perturbed interplanetary transfer and flyby problems are treated by integrating the perturbed trajectory numerically and by performing the differential correction technique using the analytical transition matrix of the unperturbed motion. The procedure requires less computing time and is more accurate than the shooting method. Numerical examples are presented.

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