K/S two-point-boundary-value problems

Details K/S two-point-boundary-value problems K/S two-point-boundary-value problems

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..105j&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani

Astronomy and Astrophysics

Astronomy

1

Astrodynamics, Boundary Value Problems, Coordinate Transformations, Optimal Control, Trajectory Optimization, Boundary Conditions, Control Theory, Nonlinear Equations, Orbital Velocity, Two Body Problem

Scientific paper

A method for developing the missing general K/S (Kustaanheimo/Stiefel) boundary conditions is presented, with use of the formalism of optimal control theory. As an illustrative example, the method is applied to the K/S Lambert problem to derive the missing terminal condition. The necessary equations are developed for a solution to this problem with the generalized eccentric anomaly, E, as the independent variable. This formulation, requiring the solution of only one nonlinear, well-behaved equation in one unknown, E, results in considerable simplification of the problem.

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