Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jansc..24...35j&link_type=abstract
Journal of the Astronautical Sciences, vol. 24, Jan.-Mar. 1976, p. 35-53.
Astronomy and Astrophysics
Astronomy
Boundary Conditions, Boundary Value Problems, Control Theory, Optimal Control, Trajectory Optimization, Cartesian Coordinates, Conformal Mapping, Lagrange Multipliers, Nonlinear Equations
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 illustrative examples, the method is applied to the transfer between two position and velocity vectors and to the K/S Lambert problem to derive the missing terminal conditions. The necessary equations for a solution are then developed to the K/S Lambert problem with both the fictitious time, s, and the generalized eccentric anomaly, E, as the independent variables. The latter formulation, requiring the solution of only one nonlinear, well-behaved equation in one unknown, E, results in considerable simplification of the problem. This simplification is possible because the energy equation, in the E-formulation, is separable.
No associations
LandOfFree
A method for developing K/S boundary conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A method for developing K/S boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A method for developing K/S boundary conditions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1219330