Optimal Transfer Between Points in Relative Uniform Motion
Abstract
The total velocity change (U) needed to effect a return journey between a point moving in a straight line at velocity V and a stationary point which it is passing has been analyzed. Values of U/V always exceed 2. The symmetrical journey, with equal outward and return journey times and closest approach halfway through the trip is a critical point, but not an absolute minimum for U/V. Absolute minima are located on each side of the symmetrical point, which is thus a saddle point. The analysis has been extended to visits which pass by the destination without stopping. Values of U/V approaching zero are then possible, and may be halved by using the gravitational field of a star at the destination to provide the transfer velocity at this point. Application of these results to nonrelativistic interstellar travel is considered.
- Publication:
-
Journal of the British Interplanetary Society
- Pub Date:
- December 1977
- Bibcode:
- 1977JBIS...30..463C
- Keywords:
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- Astronavigation;
- Flight Optimization;
- Interstellar Travel;
- Space Exploration;
- Flight Characteristics;
- Interstellar Spacecraft;
- Saddle Points;
- Velocity;
- Astrodynamics