Constrained initial guidance algorithm
| Autor: | John E. Cochran, Davy A. Haynes |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Computer simulation
Applied Mathematics Coordinate system Aerospace Engineering Trajectory optimization Impulse (physics) Quadratic equation Space and Planetary Science Control and Systems Engineering Control theory Position (vector) Quartic function Boundary value problem Electrical and Electronic Engineering Algorithm Mathematics |
| Zdroj: | Journal of Guidance, Control, and Dynamics. 13:193-197 |
| ISSN: | 1533-3884 0731-5090 |
| DOI: | 10.2514/3.20536 |
| Popis: | An algorithm is presented for determining two-body trajectories that originate on a given two-body orbit, intercept a moving target at a free final time, and are generated by an impulsive velocity change of fixed magnitude. By using a coordinate system defined by the initial and final position vectors of the interceptor, the problem is first reduced to one of solving for the real root of a quartic equation that corresponds to minimum flight time between two specified points subject to the velocity change constraint. An iterative procedure then is used to correct the targeted positon until convergence is obtained with respect to the position of the target. Numerical simulation results presented indicate excellent algorithm performance. Typically, less than 20 iterations are needed io reduce miss distance to less than 1 m if perfect target position information is available. The algorithm provides a rapid method of determining the performance boundaries for systems with specified maximum impulse capability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|