A graphical solution of optimum time-fixed two-impulse rendezvous problem
Abstract
A method for numerical determination of optimum time fixed two impulse rendezvous between general orbits is described. The impulse function is numerically investigated and a geometric representation of impulse function in the takeoff-arrival time plane is adopted. This geometric representation (T-space) allows visualization of equivelocity increment contours, thus revealing the minimum value as a point in this space. Optimum take-off and arrival time is obtained. By combining these maps it is possible to obtain an optimum solution to the problem of multi-target rendezvous. The optimum impulse value is computed by utilizing McCue's adaptive descent method.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- May 1975
- Bibcode:
- 1975STIN...7527035U
- Keywords:
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- Graphs (Charts);
- Numerical Analysis;
- Rendezvous Trajectories;
- Descent Trajectories;
- Orbit Calculation;
- Orbital Mechanics;
- Astrodynamics