Modern Spacecraft Dynamics and Control

by Marshall H. Kaplan (The Pennsylvania State Univ.)

• ISBN13: 9780471457039
• ISBN10: 0471457035
• Edition: 1
• Format: Paperback
• Copyright: 1976-10-01
• Publisher: Wiley

Table of Contents

Introduction	1	(23)
Historical Developments	1	(1)
Physical Principles	2	(5)
Laws of Newton and Kepler	2	(1)
Work and Energy	3	(3)
Angular Momentum	6	(1)
General Approach	7	(1)
Coordinate Systems and Transformations	8	(5)
Inertial Reference Frame	8	(1)
Fundamental Transformations	8	(2)
Euler's Angles	10	(3)
Relative Motion	13	(11)
General Equation	13	(4)
Motion of the Earth's Surface	17	(2)
Exercises	19	(5)
Fundamental Spacecraft Dynamics	24	(48)
General Rigid Body Motion	24	(1)
Two-Body and Central Force Motion	25	(12)
General Solution to the Two-Body Problem	25	(4)
Central Force Motion	29	(4)
Kepler's Time Equation	33	(4)
Commonly Used Constants	37	(1)
Attitude Dynamics and Euler's Equations	37	(24)
Angular Momentum of a Rigid Body	37	(3)
Rotational Kinetic Energy	40	(3)
Principal Axes	43	(6)
Euler's Moment Equations	49	(1)
Torque-Free Motion of Axisymmetric Bodies	50	(7)
General Torque-Free Motion	57	(4)
Stability of Rotation About Principal Axes	61	(1)
Internal Energy Dissipation Effects	62	(10)
Exercises	64	(8)
Orbital Maneuvers	72	(51)
Orbit Establishment	73	(5)
Determination of Eccentricity and True Anomaly	73	(3)
Slightly Eccentric Orbits	76	(2)
Orbit Transfer and Adjust	78	(10)
Single Impulse Adjustments	78	(4)
Hohmann Transfers	82	(5)
Other Coplanar Transfers	87	(1)
Plane Rotation	88	(3)
Interplanetary Transfer and Hyperbolic Passage	91	(12)
Hyperbolic Passage	91	(5)
Patched Conic Method	96	(6)
Planetary Capture	102	(1)
Lunar Transfer	103	(5)
Relative Motion of Satellites in Neighboring Orbits	108	(15)
Equations of Relative Motion	109	(3)
Special Solutions	112	(3)
Exercises	115	(8)
Attitude Maneuvers	123	(29)
Momentum Precession and Adjustment for a Rigid Spacecraft	123	(4)
Reorientation With Constant Momentum	127	(12)
Energy Dissipation Effects	127	(4)
Large Angle Reorientation with Passive Damping	131	(8)
Attitude Determination	139	(7)
Sensors	139	(2)
Cone Intercept Method	141	(5)
Attitude Acquisition Requirements	146	(6)
Rhumb Line Precession	146	(1)
Acquisition Sequence	147	(3)
Exercises	150	(2)
Attitude Control Devices	152	(60)
Gyroscopic Instruments	153	(20)
The Basic Gyroscope	153	(1)
Motion of a Spinning Top	154	(10)
Gimbal Effects	164	(4)
Basic Gyro Instruments	168	(3)
The Gyrocompass	171	(2)
Momentum Exchange Techniques	173	(15)
Spin Stabilization	173	(1)
Internal Moving Parts	173	(2)
Dual Spinners	175	(13)
Mass Movement Techniques	188	(8)
Yo-Yo Devices	188	(4)
Control of Reorientation Ambiguity	192	(4)
Magnetic Torquers	196	(3)
Gravity Gradient Stabilization	199	(13)
Exercises	205	(7)
Automatic Attitude Control	212	(61)
Linear Control Theory	213	(27)
Transfer Functions	214	(4)
Second Order Systems	218	(5)
Pole-Zero Plots	223	(5)
Network Synthesis	228	(1)
Feedback and the Root Locus Plot	229	(11)
Design of a Bias Momentum System	240	(21)
Equations of Motion	241	(4)
The Pitch Loop	245	(5)
The Roll/Yaw Loop	250	(7)
Torque Compensation	257	(3)
Other Bias Momentum Systems	260	(1)
Design of an All-Thruster System	261	(12)
Duty Cycle Analysis	262	(3)
Automatic Control Requirements	265	(3)
Exercises	268	(5)
Fundamentals and Methods of Astrodynamics	273	(70)
Celestial Mechanics	273	(16)
Potential of a Distributed Mass	273	(8)
Potential of the Earth	281	(1)
The n-Body Problem	282	(3)
Disturbed Two-Body Motion	285	(2)
Sphere of Influence	287	(2)
Restricted Three-Body Problem	289	(5)
Lagrangian Points	289	(3)
Stability of Equilateral Points	292	(2)
Position and Velocity in Conic Orbits	294	(14)
Geometric and Kinetic Properties of Conic Sections	295	(2)
Position and Velocity Formulas	297	(7)
Battin's Universal Formulas	304	(4)
Trajectories Between Two Specified Points	308	(21)
Survey of Possible Flight Paths	309	(10)
Lambert's Time-of-Flight Theorem	319	(10)
Observational Problems of Orbit Determination	329	(14)
Time Measurement	329	(3)
Station Location	332	(4)
Basic Elements and Transformations	336	(2)
Exercises	338	(5)
Orbital Perturbations	343	(24)
Cowell's Method	344	(1)
Encke's Method	345	(3)
Variation of Parameters or Elements	348	(13)
Geometrical Development	349	(6)
Earth Oblateness Effects	355	(2)
Solar-Lunar Attraction	357	(4)
General Perturbations	361	(1)
Numerical Methods	362	(5)
Exercises	364	(3)
Special Problems	367	(38)
Attitude Acquistion Maneuver of a Bias Momentum Satellite	367	(12)
Sequence of Events	367	(2)
Equations of Motion and Stability	369	(2)
Simulations	371	(2)
Physical Arguments	373	(2)
Development of Performance Equations	375	(4)
Automatic Detumbling of a Space Station	379	(16)
Equations of a Tumbling Vehicle with Moving Mass	380	(2)
Control Law Selection	382	(2)
Parameter Sizing Arguments	384	(3)
Example Application	387	(8)
Yaw Sensing Strategy for Inclination Control	395	(10)
Orbit Normal Drift and Solar Geometry	395	(3)
Thrusting Strategy and Propellant Penalties	398	(7)
Answers to Selected Exercises	405	(4)
Index	409