Introduction to Space Dynamics

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ISBN: 9780486651132 | 0486651134
Cover: Paperback
Copyright: 6/1/1986

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Comprehensive, classic introduction to space-flight engineering for advanced undergraduate and graduate students. Provides basic tools for quantitative analysis of the motions of satellites and other vehicles in space. Includes vector algebra, kinematics, transformation of coordinates, gyrodynamics, generalized theories of mechanics.

Introduction
Basic concepts
Scalar and Vector Quantities
Properties of a Vector
Moment of a Vector
Angular Velocity Vector
Derivative of a Vector
Kinematics
Velocity and acceleration
Plane Motion (Radial and Transverse Components)
Tangential and Normal Components
Plane Motion along a Rotating Curve (Relative Motion)
General Case of Space Motion
Motion Relative to the Rotating Earth
Transformation of Coordinates
Transformation of Displacements
Transformation of Velocites
Instantaneous Center
Euler's Angles
Transformation of Angular Velocities
Particle Dynamics (Satellite Orbits)
Force and Momentum
Impulse and Momentum
Work and Energy
Moment of Momentum
Motion Under a Central Force
The Two-body Problem
Orbits of Planets and Satellites
Geometry of conic Sections
Orbit Established from Initial conditions
Satellite Launched with beta subscript 0 = 0
Cotangential Transfer between Coplanar Circular Orbits
Transfer between Coplanar Coaxial Elliptic Orbits
Orbital Change due to Impulsive Thrust
Perturbation of Orbital Parameters
Stability of Small Oscillations about a Circular Orbit
Interception and Rendezvous
Long-Range Ballistic Trajectories
Effect of the Earth's Oblateness
Gyrodynamics
Displacement of a Rigid Body
Moment of Momentum of a Rigid Body (About a Fixed Point or the Moving Center of Mass)
Kinetic Energy of a Rigid Body
Moment of Inertia about a Rotated Axis
Principal Axes
Euler's Moment Equation
Euler's Equation for Principal Axes
Body of Revolution with Zero External Moment (Body Coordinates)
Body of Revolution with Zero Moment, in Terms of Euler's Angles
Unsymmetrical Body with Zero External Moment (Poinsot's Geometric Solution)
Unequal Moments of Inertia with Zero Moment (Analytical Solution)
Stability of Rotation about Principal Axes
General Motion of a Symmetric Gyro or Top
Steady Precession of a Symmetric Gyro or Top
Precession and Nutation of the Earth's Polar Axis
General Motion of a Rigid Body
Dynamics of Gyroscopic Instruments
Small Oscillations of Gyros
Oscilaltions About Gimbal Axes
Gimbal Masses Included (Perturbation Technique)
The Gyrocompass
Oscillation of the Gyrocompass
The Rate Gyro
The Integrating Gyro
The Stable Platform
The Three-Axis Platform
Inertial Navigation
Oscillation of Navigational Errors
Space Vehicle Motion
General Equations in Body Coordinates
Thrust Misalignment
Rotations Referred to Inertial Coordinates
Near Symmetric Body of Revolution with Zero Moment
Despinning of Satellites
Attitude Drift of Space Vehicles
Variable Mass
Jet Damping (Nonspinning Variable Mass Rocket)
Euler's Dynamical Equations for Spinning Rockets
Angle of Attack of the Missile
General Motion of Spinning Bodies with Varying Configuration and Mass
Performance and Optimization
Performance of Single-Stage Rockets
Optimization of Multistage Rockets &nbs
Table of Contents provided by Publisher. All Rights Reserved.

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Introduction to Space Dynamics

Summary

Table of Contents

Supplemental Materials