TY - JOUR
T1 - Optimal spacecraft trajectories via higher order differential inclusions
AU - Coverstone-Carroll, V.
AU - Hartman, C. A.
AU - Herman, A. L.
AU - Spencer, D. B.
PY - 1999
Y1 - 1999
N2 - Higher order differential inclusion (HODI) is a new modeling technique that is applied to the modeling and optimization of spacecraft trajectories. The spacecraft equations-of-motion are mathematically manipulated into differential constraints that remove explicit appearance of the control variables (e.g., thrust direction and magnitude) from the problem statement. These constraints are transformed into a nonlinear programming problem by using higher order approximations of the derivatives of the states. In this work, the new method is first applied to a simple example to illustrate the technique and then to a three-dimensional, propellant-minimizing, Low-Earth-Orbit to Geosynchronous-Earth-Orbit spacecraft transfer problem. Comparisons are made with results obtained using an established modeling technique.
AB - Higher order differential inclusion (HODI) is a new modeling technique that is applied to the modeling and optimization of spacecraft trajectories. The spacecraft equations-of-motion are mathematically manipulated into differential constraints that remove explicit appearance of the control variables (e.g., thrust direction and magnitude) from the problem statement. These constraints are transformed into a nonlinear programming problem by using higher order approximations of the derivatives of the states. In this work, the new method is first applied to a simple example to illustrate the technique and then to a three-dimensional, propellant-minimizing, Low-Earth-Orbit to Geosynchronous-Earth-Orbit spacecraft transfer problem. Comparisons are made with results obtained using an established modeling technique.
UR - http://www.scopus.com/inward/record.url?scp=0039129186&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0039129186&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0039129186
SN - 0065-3438
VL - 102 I
SP - 377
EP - 395
JO - Advances in the Astronautical Sciences
JF - Advances in the Astronautical Sciences
ER -