guidance, flight mechanics and trajectory optimization
guidance, flight mechanics and trajectory optimization
guidance, flight mechanics and trajectory optimization
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110<br />
2.1<br />
2.1.1<br />
2.1.2<br />
2.1.3<br />
2.1.3.1<br />
2.1.3.2<br />
2.1.4<br />
2.1.4.1<br />
2.1.4.2<br />
2.1.4.2.1<br />
2.1.4.2.2<br />
2.1.5<br />
2.1.6<br />
2.2<br />
2.2.1<br />
2.2.1.1<br />
2.2.1.2<br />
2.2.2<br />
2.2.3<br />
2.2.4<br />
2.2.4.1<br />
2.2.4.2<br />
2.2.4.3<br />
2.2.4.4<br />
2.2.4.5<br />
2.2.4.6<br />
2.3<br />
2.4<br />
2.4.1<br />
2.4.2<br />
2.4.3<br />
2.4.3.1<br />
2.4.3.2<br />
3.0<br />
TABLE OF CONTENTS<br />
Page<br />
STATEMENT OF THE PROBLEM. ...............<br />
Equations of Motion. ...............<br />
Coordinate Systems ................ 4<br />
Field Free Case. ................. 6<br />
Approximate Equations. ..............<br />
Angular Forms of the Equations .......... ::<br />
Distance Forms of the Equations. ......... 10<br />
Solutions to the Equations of Motion ....... 13<br />
The Out-of-Plane ................. 13<br />
The In-Plane Motion. ............... 16<br />
in-Plane Motion for Circular Target Orbit. .... i6<br />
In-Plane Motion for Elliptical Target Orbits ... 21<br />
Approximate Second Order Solutions ........ 22<br />
The Effects of Perturbations on Rendezvous ....<br />
Guidance Equations ................ ;:<br />
Fixed Inertial Line of Sight (LOS) - Free Space. .<br />
Manual Rendezvous Guidance ............ ;:<br />
Separation of Guidance-Navigation Tasks. .....<br />
Coriolis Balance ................. ;i<br />
Improved Model - The Inclusion of a Gravity<br />
Gradient .................... 37<br />
Impulsive Rendezvous Techniques. ......... 39<br />
Approximating Velocity Impulses. ......... 39<br />
Two Impulse Rendezvous .............. 41<br />
Extension to Non-Circular Orbits ......... 43<br />
Multiple Impulse Rendezvous. ...........<br />
Second Order Improvement ............. z<br />
Direct Calculation using Two-Body Orbits ..... 48<br />
Proportional Guidance. .............. 53<br />
Optimization of the Rendezvous Maneuver. ..... 56<br />
Optimal Stepwise Thrusting ............ 58<br />
Optimum Power Limited Rendezvous ......... 71<br />
Optimum Continuous Thrust Guidance for the<br />
FinalManeuvers ................. ‘75<br />
Free Space Model ................. 75<br />
Linear Gravity Model ............... 80<br />
RECOMMENDED PROCEDURES. . . . . . . . . . . . . . . . . 84<br />
4.0 REFERENCES....................... 87<br />
vii