In the language of optimal control theory, this problem is a “continuous system with functions of the state variables prescribed at a fixed terminal time”. The numerical example given in the text is a continuous, low-thrust coplanar orbit transfer from Earth to Mars. The orbits of the planets are assumed to be circular and coplanar, and the total transfer time is about 193 days.
David Eagle (2021). Aerospace Trajectory Optimization Using Direct Transcription and Collocation (https://www.mathworks.com/matlabcentral/fileexchange/38936-aerospace-trajectory-optimization-using-direct-transcription-and-collocation), MATLAB Central File Exchange. Retrieved .
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Great walkthrough of direct transcription and collocation with a nice, simple example. Thanks!