Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming

Details Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........11e&link_type=abstract

Ph.D. Thesis Illinois Univ. at Urbana-Champaign, Savoy.

Mathematics

Nonlinear Programming, Optimal Control, Spacecraft Trajectories, Trajectory Optimization, Collocation, Equations Of Motion, Mathematical Programming, Orbit Insertion, Transfer Orbits

Scientific paper

A class of methods for the numerical solution of optimal control problems is analyzed and applied to the optimization of finite-thrust spacecraft trajectories. These methods use discrete approximations to the state and control histories, and a discretization of the equations of motion to derive a mathematical programming problem which approximates the optimal control problem, and which is solved numerically. This conversion is referred to as transcription. Recent advances in nonlinear programming, however, have made it feasible to solve the original heavily-constrained nonlinear programming problem, which is referred to as the direct transcription of the optimal control problem. This method is referred to as direct transcription and nonlinear programming. A recently developed method for solving optimal trajectory problems uses a piecewise-polynomial representation of the state and control variables and enforces the equations of motion via a collocation procedure, resulting in a nonlinear programming problem, which is solved numerically. This method is identified as being of the general class of direct transcription methods described above. Also, a new direct transcription method which discretizes the equations of motion using a parallel-shooting approach is developed. Both methods are applied to thrust-limited spacecraft trajectory problems, including finite-thrust transfer, rendezvous, and orbit insertion, a low-thrust escape, and a low-thrust Earth-moon transfer.

Affiliated with

Also associated with

No associations

Rating

Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming 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 Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1306969