Modern Spacecraft Dynamics and Control

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

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ISBN: 9780471457039 | 0471457035
Cover: Paperback
Copyright: 10/1/1976

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Supplemental Materials

Introduction

(23)

Historical Developments

(1)

Physical Principles

(5)

Laws of Newton and Kepler

(1)

Work and Energy

(3)

Angular Momentum

(1)

General Approach

(1)

Coordinate Systems and Transformations

(5)

Inertial Reference Frame

(1)

Fundamental Transformations

(2)

Euler's Angles

(3)

Relative Motion

(11)

General Equation

(4)

Motion of the Earth's Surface

(2)

Exercises

(5)

Fundamental Spacecraft Dynamics

(48)

General Rigid Body Motion

(1)

Two-Body and Central Force Motion

(12)

General Solution to the Two-Body Problem

(4)

Central Force Motion

(4)

Kepler's Time Equation

(4)

Commonly Used Constants

(1)

Attitude Dynamics and Euler's Equations

(24)

Angular Momentum of a Rigid Body

(3)

Rotational Kinetic Energy

(3)

Principal Axes

(6)

Euler's Moment Equations

(1)

Torque-Free Motion of Axisymmetric Bodies

(7)

General Torque-Free Motion

(4)

Stability of Rotation About Principal Axes

(1)

Internal Energy Dissipation Effects

(10)

Exercises

(8)

Orbital Maneuvers

(51)

Orbit Establishment

(5)

Determination of Eccentricity and True Anomaly

(3)

Slightly Eccentric Orbits

(2)

Orbit Transfer and Adjust

(10)

Single Impulse Adjustments

(4)

Hohmann Transfers

(5)

Other Coplanar Transfers

(1)

Plane Rotation

(3)

Interplanetary Transfer and Hyperbolic Passage

(12)

Hyperbolic Passage

(5)

Patched Conic Method

(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

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Modern Spacecraft Dynamics and Control

Table of Contents

Supplemental Materials