A study was conducted to investigate the two-cooperative-spacecraft- rendezvous problem with the same direction of terminal velocities or the same arrival flight-path angle. The transfer time was written in a single-variable function of the flight-path angle for the multiple-revolution case. An important equation was obtained by setting two transfer times equal, and the secant method was used to solve the resulting equation. It was found that the requirement that the transfer times from P 1 to S and from P 2 to S were the same the tangent orbit rendezvous problem. The investigations also revealed that there were many solutions for the multiple-revolution case, while there were zero, one, or two solutions for two given revolution numbers of the chief's and chaser's orbits.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics