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This is a modern textbook that guides the reader through the theory and practice of satellite orbit prediction and determination. Starting from the basic principles of orbital mechanics, it covers elaborate force models as well as precise methods of satellite tracking. Emphasis is on numerical treatment and a multitude of algorithms adopted in modern satellite trajectory computation are described in detail. The accompanying CD-ROM includes all source codes written in C++ and relevant data files for applications. The result is a powerful and unique spaceflight dynamics library which allows easy software extensions by the user. An extensive collection of Internet resources is provided through WWW hyperlinks to detailed and frequently updated online information on spaceflight dynamics. The book addresses students, scientists working in the field of navigation, geodesy and spaceflight technology and satellite engineers and operators focusing on spaceflight dynamics.
Table of contents
- Around the World in a Hundred Minutes
- A Portfolio of Satellite Orbits
- Low-Earth Orbits
- Orbits of Remote Sensing Satellites
- Geostationary Orbits
- Highly Elliptical Orbits
- Constellations
- Navigating in Space
- Tracking Systems
- A Matter of Effort
- Introductory Astrodynamics
- General Properties of the Two-Body Problem
- Plane Motion and the Law of Areas
- The Form of the Orbit
- The Energy Integral
- Prediction of Unperturbed Satellite Orbits
- Kepler's Equation and the Time Dependence of Motion
- Solving Kepler's Equation
- The Orbit in Space
- Orbital Elements from Position and Velocity
- Non-Singular Elements
- Ground-Based Satellite Observations
- Satellite Ground Tracks
- Satellite Motion in the Local Tangent Coordinate System
- Preliminary Orbit Determination
- Orbit Determination from Two Position Vectors
- Orbit Determination from Three Sets of Angles
- Exercises
- Force Model
- Introduction
- Geopotential
- Expansion in Spherical Harmonics
- Some Special Geopotential Coefficients
- Gravity Models
- Recursions
- Acceleration
- Sun and Moon
- Perturbing Acceleration
- Low-Precision Solar and Lunar Coordinates
- Chebyshev Approximation
- JPL Ephemerides
- Solar Radiation Pressure
- Eclipse Conditions
- Shadow Function
- Atmospheric Drag
- The Upper Atmosphere
- The HarrisPriester Density Model
- The Jacchia 1971 Density Model
- A Comparison of Upper Atmosphere Density Models
- Prediction of Solar and Geomagnetic Indices
- Thrust Forces
- Precision Modeling
- Earth Radiation Pressure
- Earth Tides
- Relativistic Effects
- Empirical Forces
- Exercises
- Numerical Integration
- RungeKutta Methods
- Introduction
- General RungeKutta Formulas
- Stepsize Control
- RungeKuttaNyström Methods
- Continuous Methods
- Comparison of RungeKutta Methods
- MultistepMethods
- Introduction
- AdamsBashforth Methods
- AdamsMoulton and PredictorCorrector Methods
- Interpolation
- Variable Order and Stepsize Methods
- Stoermer and Cowell Methods
- GaussJackson or Second Sum Methods
- Comparison of Multistep Methods
- Extrapolation Methods
- The Mid-Point Rule
- Extrapolation
- Comparison of Extrapolation Methods
- Comparison
- Exercises
- Time and Reference Systems
- Time
- Ephemeris Time
- Atomic Time
- Relativistic Time Scales
- Sidereal Time and Universal Time
- Celestial and Terrestrial Reference Systems
- Precession and Nutation
- Lunisolar Torques and the Motion of the Earth's Rotation Axis
- Coordinate Changes due to Precession
- Nutation
- Earth Rotation and Polar Motion
- Rotation About the Celestial Ephemeris Pole
- Free Eulerian Precession
- Observation and Extrapolation of Polar Motion
- Transformation to the International Reference Pole
- Geodetic Datums
- Exercises
- Satellite Tracking and Observation Models
- Tracking Systems
- Radar Tracking
- Laser Tracking
- The Global Positioning System
- Tracking Data Models
- Transmitter and Receiver Motion
- Angle Measurements
- Range Measurements
- Doppler Measurements
- GPS Measurements
- Media Corrections
- Interaction of Radiation and Atmosphere
- Tropospheric Refraction
- Ionospheric Refraction
- Exercises
- Linearization
- Two-Body State Transition Matrix
- Orbital-Elements Transition Matrix
- Keplerian-to-Cartesian Partial Derivatives
- Cartesian-to-Keplerian Partial Derivatives
- The State Transition Matrix and Its Inverse
- Variational Equations
- The Differential Equation of the State Transition Matrix
- The Differential Equation of the Sensitivity Matrix
- Form and Solution of the Variational Equations
- The Inverse of the State Transition Matrix
- Partial Derivatives of the Acceleration
- Geopotential
- Point-Mass Perturbations
- Solar Radiation Pressure
- Drag
- Thrust
- Partials of the Measurements with Respect to the State Vector
- Partials with Respect to Measurement Model Parameters
- Difference Quotient Approximations
- Exercises
- Orbit Determination and Parameter Estimation
- Weighted Least-Squares Estimation
- Linearization and Normal Equations
- Weighting
- Statistical Interpretation
- Consider Parameters
- Estimation with A Priori Information
- Numerical Solution of Least-Squares Problems
- QR Factorization
- Householder Transformations
- Givens Rotations
- Singular Value Decomposition
- Kalman Filtering
- Recursive Formulation of Least-Squares Estimation
- Sequential Estimation
- Extended Kalman Filter
- Factorization Methods
- Process Noise
- Comparison of Batch and Sequential Estimation
- Exercises
- Applications
- Orbit Determination Error Analysis
- A Linearized Orbit Model
- Consider Covariance Analysis
- The GEODA Program
- Case Studies
- Real-Time Orbit Determination
- Model and Filter Design
- The RTOD Program
- Case Studies
- Relay Satellite Orbit Determination
- Mathematical Models
- The TDRSOD Program
- Case Study
- Appendix A
- Calendrical Calculations
- Modified Julian Date from the Calendar Date
- Calendar Date from the Modified Julian Date
- GPS Orbit Models
- Almanac Model
- Broadcast Ephemeris Model
- Appendix B
- Internet Resources
- The Enclosed CD-ROM
- Contents
- System Requirements
- Executing the Programs
- Compilation and Linking
- Index of Library Functions
- List of Symbols
- References
- Index
| Mindest-Konfigurationsvoraussetzungen |
| Betriebssystem |
Linux: Kernel 2.4; Windows: XP |
| CPU-Typ, Geschwindigkeit |
Pentium IV or compatible |
| Arbeitsspeicher |
256 MB |
| CD-ROM Geschwindigkeit |
24fach |
| Benötigter Festplattenspeicher |
100 MB |
Springer Berlin, 2005, 370 S.
90,90 Euro
Hardcover, 97 illus., 10 in colour
ISBN: 978-3-540-67280-7
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