1 Fundamentals of Astrodynamics |
|
1 | (22) |
|
|
1 | (1) |
|
|
2 | (3) |
|
Use of Mathematical Models to Solve Physical Problems |
|
|
2 | (2) |
|
|
4 | (1) |
|
|
5 | (8) |
|
|
5 | (1) |
|
|
6 | (1) |
|
|
7 | (3) |
|
Law of Conservation of Total Energy |
|
|
10 | (1) |
|
|
11 | (2) |
|
1.4 Fundamental Transformations |
|
|
13 | (10) |
|
Transformations Between Coordinate Systems |
|
|
13 | (2) |
|
Orthogonal Transformations |
|
|
15 | (1) |
|
|
16 | (1) |
|
Relative Motion and Coriolis Acceleration |
|
|
17 | (6) |
2 Keplerian Motion |
|
23 | (36) |
|
|
23 | (1) |
|
Orbital Mechanics Versus Attitude Dynamics |
|
|
23 | (1) |
|
Reducing a Complex Problem to a Simplified Problem |
|
|
23 | (1) |
|
|
24 | (6) |
|
Derivation of the Equation of Motion: The Mathematical Model |
|
|
24 | (2) |
|
(Differential) Equation of Motion for the Two-body System |
|
|
26 | (1) |
|
Solution of the Equation of Motion |
|
|
27 | (2) |
|
An Application: Methods of Detecting Extrasolar Planets |
|
|
29 | (1) |
|
|
30 | (17) |
|
Another Simplifying Assumption |
|
|
30 | (3) |
|
|
33 | (2) |
|
|
35 | (1) |
|
|
36 | (1) |
|
Geometric Properties of Conic Sections |
|
|
36 | (3) |
|
Orbit Classification: Conic Section Orbits |
|
|
39 | (2) |
|
|
41 | (4) |
|
|
45 | (2) |
|
2.4 Position Versus Time in an Elliptical Orbit |
|
|
47 | (5) |
|
|
47 | (2) |
|
Proving Kepler's Laws from Newton's Laws |
|
|
49 | (3) |
|
2.5 Astronomical Constants |
|
|
52 | (1) |
|
2.6 Geometric Formulas for Elliptic Orbits |
|
|
52 | (7) |
3 Orbital Maneuvers |
|
59 | (68) |
|
|
59 | (1) |
|
3.2 Statistical Maneuvers |
|
|
59 | (3) |
|
Trajectory Correction Maneuvers |
|
|
59 | (1) |
|
|
60 | (1) |
|
|
61 | (1) |
|
3.3 Determining Orbit Parameters |
|
|
62 | (8) |
|
|
62 | (1) |
|
|
63 | (1) |
|
Graphical Presentation of Elliptical Orbit Parameters |
|
|
64 | (5) |
|
|
69 | (1) |
|
Slightly Eccentric Orbits |
|
|
69 | (1) |
|
3.4 Orbit Transfer and Adjustment |
|
|
70 | (11) |
|
Single Maneuver Adjustments |
|
|
71 | (1) |
|
|
72 | (3) |
|
|
75 | (2) |
|
Examples: Hohmann Transfer |
|
|
77 | (3) |
|
General Coplanar Transfer Between Circular Orbits |
|
|
80 | (1) |
|
Transfer Between Coplanar Coaxial Elliptical Orbits |
|
|
80 | (1) |
|
3.5 Interplanetary Trajectories |
|
|
81 | (28) |
|
|
81 | (6) |
|
|
87 | (3) |
|
Patched Conics Trajectory Model |
|
|
90 | (9) |
|
Types and Examples of Interplanetary Missions |
|
|
99 | (7) |
|
|
106 | (3) |
|
Interplanetary Targeting and Orbit Insertion Maneuver Design Technique |
|
|
109 | (1) |
|
3.6 Other Spacecraft Maneuvers |
|
|
109 | (6) |
|
|
109 | (3) |
|
|
112 | (2) |
|
|
114 | (1) |
|
|
115 | (12) |
|
|
115 | (6) |
|
In a Gravitational Field at Launch |
|
|
121 | (6) |
4 Techniques of Astrodynamics |
|
127 | (74) |
|
|
127 | (1) |
|
|
127 | (15) |
|
Position and Velocity Formulas as Functions of True Anomaly for Any Value of e |
|
|
127 | (1) |
|
Deriving and Solving Barker's Equation |
|
|
128 | (2) |
|
Orbit Propagation for Elliptic Orbits: Solving Kepler's Equation |
|
|
130 | (5) |
|
Hyperbolic Form of Kepler's Equation |
|
|
135 | (4) |
|
Orbit Propagation for All Conic Section Orbits with e > 0: Battin's Universal Formulas |
|
|
139 | (3) |
|
4.3 Keplerian Orbit Elements |
|
|
142 | (7) |
|
|
142 | (2) |
|
Transformations Between Inertial and Satellite Orbit Reference Frames |
|
|
144 | (1) |
|
Conversion from Inertial Position and Velocity Vectors to Keplerian Orbital Elements |
|
|
145 | (2) |
|
Conversion from Keplerian Elements to Inertial Position and Velocity Vectors in Cartesian Coordinates |
|
|
147 | (1) |
|
Alternative Orbit Element Sets |
|
|
148 | (1) |
|
|
149 | (21) |
|
|
149 | (1) |
|
A Mission Design Application |
|
|
150 | (4) |
|
Trajectories/Flight Times Between Two Specified Points |
|
|
154 | (11) |
|
Mission Design Application (Continued) |
|
|
165 | (1) |
|
Parametric Solution Tool and Technique |
|
|
166 | (4) |
|
A Fundamental Problem in Astrodynamics |
|
|
170 | (1) |
|
|
170 | (21) |
|
|
171 | (2) |
|
Gravitational Potential for a Distributed Mass |
|
|
173 | (10) |
|
|
183 | (2) |
|
Disturbed Relative 2-Body Motion |
|
|
185 | (3) |
|
|
188 | (3) |
|
4.6 Time Measures and Their Relationships |
|
|
191 | (10) |
|
|
191 | (1) |
|
|
192 | (1) |
|
|
193 | (1) |
|
|
193 | (1) |
|
|
194 | (1) |
|
|
194 | (1) |
|
What Time Is It in Space? |
|
|
194 | (7) |
5 Non-Keplerian Motion |
|
201 | (22) |
|
|
201 | (1) |
|
5.2 Perturbation Techniques |
|
|
201 | (5) |
|
|
202 | (2) |
|
|
204 | (1) |
|
|
205 | (1) |
|
5.3 Variation of Parameters Technique |
|
|
206 | (2) |
|
In-Plane Perturbation Components |
|
|
206 | (1) |
|
Out-of-Plane (or Lateral) Perturbation Component |
|
|
207 | (1) |
|
|
208 | (1) |
|
5.4 Oblateness Effects: Precession |
|
|
208 | (6) |
|
Potential Function for an Oblate Body |
|
|
208 | (1) |
|
|
209 | (2) |
|
Precession of the Line of Nodes |
|
|
211 | (3) |
|
5.5 An Alternate Form of the Perturbation Equations |
|
|
214 | (1) |
|
RTW (Radial, Transverse, and Out-of-Plane) Coordinate System |
|
|
214 | (1) |
|
Perturbation Equations of Celestial Mechanics |
|
|
215 | (1) |
|
5.6 Primary Perturbations for Earth-Orbiting Spacecraft |
|
|
215 | (1) |
|
5.7 Satellite Orbit Paradox |
|
|
215 | (6) |
|
|
215 | (1) |
|
|
216 | (1) |
|
|
216 | (2) |
|
|
218 | (3) |
|
|
221 | (2) |
6 Spacecraft Rendezvous |
|
223 | (20) |
|
|
223 | (1) |
|
6.2 Phasing for Rendezvous |
|
|
224 | (1) |
|
Alternative Transfer Orbits |
|
|
225 | (1) |
|
6.3 Example: Apollo 11 Ascent from the Moon |
|
|
225 | (1) |
|
|
226 | (11) |
|
Equations of Relative Motion for a Circular Target Orbit |
|
|
226 | (4) |
|
|
230 | (1) |
|
Solutions for the HillClohessyWiltshire Equations |
|
|
231 | (2) |
|
Example: Standoff Position to Avoid Collision with the Target Vehicle |
|
|
233 | (1) |
|
Spacecraft Intercept or Rendezvous with a Target Vehicle |
|
|
233 | (4) |
|
6.5 Examples of Spacecraft Rendezvous |
|
|
237 | (1) |
|
Space Shuttle Discovery's Rendezvous with the ISS |
|
|
237 | (1) |
|
|
238 | (1) |
|
6.6 General Results for Terminal Spacecraft Rendezvous |
|
|
238 | (5) |
|
Particular Solutions (f not = to 0) |
|
|
238 | (1) |
|
Target Orbits with Non-Zero Eccentricity |
|
|
238 | (1) |
|
Highly Accurate Terminal Rendezvous |
|
|
239 | (1) |
|
|
239 | (4) |
7 Navigation and Mission Design Techniques and Tools |
|
243 | (82) |
|
|
243 | (1) |
|
7.2 Online Ephemeris Websites |
|
|
243 | (4) |
|
Solar System Dynamics Website: ssd |
|
|
244 | (2) |
|
Near Earth Objects Website: neo |
|
|
246 | (1) |
|
Potentially Hazardous Asteroids |
|
|
247 | (1) |
|
|
247 | (9) |
|
Flight Plane Velocity Space (FPVS) |
|
|
247 | (5) |
|
|
252 | (2) |
|
|
254 | (1) |
|
Algorithm for Computing Gradients in FPVS |
|
|
254 | (2) |
|
7.4 Free-Return Circumlunar Trajectory Analysis Techniques |
|
|
256 | (69) |
|
|
256 | (1) |
|
|
257 | (1) |
|
Free-Return Circumlunar Trajectory Analysis Method 1 |
|
|
258 | (10) |
|
Free-Return Circumlunar Trajectory Analysis Method 2 |
|
|
268 | (57) |
8 Further Study |
|
325 | (12) |
|
|
325 | (1) |
|
8.2 Additional Navigation, Mission Analysis and Design, and Related Topics |
|
|
325 | (12) |
|
Mission Analysis and Design |
|
|
325 | (1) |
|
|
326 | (1) |
|
|
327 | (1) |
|
Spacecraft Attitude Dynamics |
|
|
327 | (1) |
|
Spacecraft Attitude Determination and Control |
|
|
328 | (1) |
|
|
328 | (1) |
|
Earth-Orbiting Constellations |
|
|
329 | (1) |
|
|
329 | (1) |
|
|
329 | (1) |
|
|
330 | (1) |
|
Lagrange Points and the Interplanetary Superhighway |
|
|
331 | (1) |
|
|
331 | (1) |
|
Entry, Decent and Landing (EDL) |
|
|
332 | (1) |
|
|
332 | (1) |
|
|
333 | (1) |
|
Advanced Spacecraft Propulsion |
|
|
334 | (3) |
Appendix A Vector Analysis |
|
337 | (12) |
Appendix B Projects |
|
349 | (8) |
Appendix C Additional Penzo Parametric Plots |
|
357 | (8) |
Answers to Selected Exercises |
|
365 | (4) |
Acronyms and Abbreviations |
|
369 | (4) |
References |
|
373 | (6) |
Index |
|
379 | |