Orbital Mechanics

ISBN-10: 1563475375

ISBN-13: 9781563475375

Edition: 3rd 2002

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Book details

Edition: 3rd
Copyright year: 2002
Publisher: American Institute of Aeronautics & Astronautics
Binding: Hardcover
Pages: 460
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 2.134
Language: English

Foreword
Preface
About the Authors
Basic Concepts
A Historical Perspective
Velocity and Acceleration
Problems
Selected Solutions
Celestial Relationships
Coordinate Systems
Time Systems
References
Keplerian Orbits
Newton's Universal Law of Gravitation
General and Restricted Two-Body Problem
Conservation of Mechanical Energy
Conservation of Angular Momentum
Orbital Parameters of a Satellite
Orbital Elements
References
Problems
Selected Solutions
Position and Velocity as a Function of Time
General Relationships
Solving Kepler's Equation
A Universal Approach
Expressions with f and g
Summary of the Universal Approach
The Classical Element Set
The Rectangular Coordinate System
Modified Classical to Cartesian Transformation
Rectangular to Modified Classical Elements Transformation
The Spherical (ADBARV) Coordinate System
Rectangular to Spherical Transformation
Spherical to Rectangular Transformation
The Earth-Relative Spherical (LDBARV) Coordinate System
Geodetic and Geocentric Altitudes
Converting from Perigee/Apogee Radii to Perigee/Apogee Altitudes
Converting from Perigee/Apogee Altitudes to Perigee/Apogee Radii
References
Problems
Selected Solutions
Orbital Maneuvers
Orbital Energy
Single-Impulse Maneuvers
Single- and Two-Impulse Transfer Comparison for Coplanar Transfers Between Elliptic Orbits That Differ Only in Their Apsidal Orientation
Hohmann Transfer
The Bi-elliptic Transfer
Restricted Three-Impulse Plane Change Maneuver for Circular Orbits
General Three-Impulse Plane Change Maneuver for Circular Orbit
Hohmann Transfer with Split-Plane Change
Bi-elliptic Transfer with Split-Plane Change
Transfer Between Coplanar Elliptic Orbits
References
Problems
Selected Solutions
Complications to Impulsive Maneuvers
N-Impulse Maneuvers
Fixed-Impulse Transfers
Finite-Duration Burns: Gravity Losses
Very Low Thrust Transfers
Reference
Problems
Selected Solutions
Relative Motion in Orbit
Space Rendezvous
Terminal Rendezvous
Applications of Rendezvous Equations
An Exact Analytical Solution for Two-Dimensional Relative Motion
Optimal Multiple-Impulse Rendezvous
References
Problems
Selected Solutions
Introduction to Orbit Perturbations
A General Overview of Orbit Perturbations
Earth Gravity Harmonics
Lunisolar Gravitational Attractions
Radiation Pressure Effects
Atmospheric Drag
Tidal Friction Effects and Mutual Gravitational Attraction
References
Orbit Perturbations: Mathematical Foundations
Equations of Motion
Methods of Solution
Potential Theory
More Definitions of Gravity Harmonics
Perturbations Due to Oblateness (J[subscript 2])
Integration of the Equations of Variation
References
Applications of Orbit Perturbations
Earth's Oblateness (J[subscript 2]) Effects
Critical Inclination
Sun-Synchronous Orbits
J[subscript 3] Effects and Frozen Orbits
Earth's Triaxiality Effects and East-West Stationkeeping
Third-Body Perturbations and North/South Stationkeeping
Solar-Radiation-Pressure Effects
Atmospheric Drag Effects
Tidal Friction Effects
Long-Term Inclination Variations
References
Problems
Selected Solutions
Orbital Systems
Launch Window Considerations
Time of Event Occurrence
Ground-Trace Considerations
Highly Eccentric, Critically Inclined Q = 2 Orbits (Molniya)
Frozen Orbits
References
Lunar and Interplanetary Trajectories
Introduction
Historical Background
Important Concepts
Lunar Trajectories
Analytical Approximations
Three-Dimensional Trajectories
Interplanetary Trajectories
Galileo Mission
Cassini-Huygens Mission to Saturn and Titan
Mars Odyssey Mission
References
Problems
Selected Solutions
Space Debris
Introduction
Space Debris Environment: Low Earth Orbit
Debris Measurements
Space Debris Environment: Geosynchronous Equatorial Orbit
Spatial Density
Collision Hazard Assessment Methods
Collision Hazards Associated with Orbit Operations
Debris Cloud Modeling
Lifetime of Nontrackable Debris
Methods of Debris Control
Shielding
Collision Avoidance
References
Optimal Low-Thrust Orbit Transfer
Introduction
The Edelbaum Low-Thrust Orbit-Transfer Problem
The Full Six-State Formulation Using Nonsingular Equinoctial Orbit Elements
Orbit Transfer with Continuous Constant Acceleration
Orbit Transfer with Variable Specific Impulse
The Partials of the M Matrix
References
Orbital Coverage
Coverage from a Single Satellite
Design of Optimal Satellite Constellations for Continuous Zonal and Global Coverage
Considerations in Selecting Satellite Constellations
Nontypical Coverage Patterns
References
Problems
Selected Solutions
Index
Series Pages
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