Geostationary Satellites Collocation-µØÇò¾²Ö¹ÎÀÐǹìµÀÓ빲λ¿ØÖƼ¼Êõ

1 Introduction
1£®1 General
1£®2 The Geostationary Orbit in Math
1£®3 The Status of Geostationary Satellites
1£®4 The Framework of the Book
References

2 Orbit Motion Foundations
2£®1 Introduction
2£®2 The Motion of the Earth
2£®2£®1 A Solar Day
2£®2£®2 A Sidereal Day
2£®2£®3 Equinox Direction
2£®2£®4 Primary Longitude
2£®2£®5 Local Solar Time
2£®2£®6 Polar Motion
2£®2£®7 Precession Motion
2£®2£®8 Nutation Motion
2£®3 Time System
2£®3£®1 Seconds in a Day
2£®3£®2 Sidereal Time and Universal Time£®£®£®
2£®3£®3 Julian Days and Modified Julian Days
2£®3£®4 Greenwich Sidereal Time
2£®3£®5 International Atomic Time
2£®3£®6 Coordinated Universal Time
2£®3£®7 Local Time
2£®3£®8 Ephemeris Time
2£®3£®9 GPS Time
2£®3£®10 Time System Summaries
2£®4 Reference System
2£®4£®1 Background and General Definitions
2£®4£®2 J2000£®0 Earth-Centered Inertial System
2£®4£®3 The Mean Equator and Equinox
2£®4£®4 The True Equator and Equinox
2£®4£®5 The Greenwich Meridian-Fixed System
2£®4£®6 International Terrestrial Reference System
2£®4£®7 Global Geodetic System
2£®4£®8 Local Tangential Coordinate System
2£®4£®9 Orbit RTN Coordinate System
2£®4£®10 Satellite-Fixed Orbit Coordinate System
2£®4£®11 Satellite-Fixed East/South/Down Coordinate Frame
2£®4£®12 Satellite Body Coordinate System
2£®5 The Kepler Orbit
2£®5£®1 Kepler Orbit Elements
2£®5£®2 The Kepler Orbit with Motion States
2£®5£®3 The Kepler Orbit with Reference System
2£®5£®4 The Station Keeping Element
References

3 The Motion of Geostationary Satellite
3£®1 Introduction
3£®2 The Geostationary Orbit in Inertial Space
3£®3 The Geostationary Orbit Relative to the Earth
3£®3£®1 Linearization of Geocentric Distance
3£®3£®2 Linearization of the True Anomaly
3£®3£®3 Linearization of Right Ascension and Longitude
3£®3£®4 Linearization of Relative Declination
3£®4 The Truth of "8"-Shape Subsatellite
3£®5 The Relative Motion with Nominal Longitude
3£®5£®1 The Orbit Motion Projected on the Equator Plane
3£®5£®2 The Orbit Motion Projected on the Meridian Plane
3£®5£®3 Relative Motion Projected on the Local Horizontal Plane

4 Geostatlonary Orbit Perturbation
4£®1 Introduction
4£®2 Natural Evolution Motion Scenery
4£®3 Lagrange Equation for Station Keeping Elements
4£®3£®1 Lagrange Equation for the Drift Vector
4£®3£®2 Lagrange Equation for the Eccentricity Vector
4£®3£®3 Lagrange Equation for the Inclination Vector
4£®4 The Earth's Non-spherical Perturbation
4£®4£®1 The Earth's Non-spherical Potential Function
4£®4£®2 Real Geostationary Orbit
4£®4£®3 Semi-major Axis Evolution
4£®4£®4 Longitude Drift Evolution
4£®4£®5 Mean Longitude Evolution
4£®4£®6 Inclination Vector Evolution
4£®4£®7 Eccentricity Vector Evolution
4£®5 The Solar and Lunar Perturbation
4£®5£®1 The Lunar and Solar Potential Function
4£®5£®2 Semi-major Axis Evolution
4£®5£®3 Longitude Evolution
4£®5£®4 Eccentricity Evolution
4£®5£®5 Inclination Evolution
4£®5£®6 Solar-Lunar Ephemeris
4£®6 The Solar Radiation Perturbation
4£®6£®1 Solar Radiation Pressure Potential Function£®
4£®6£®2 Longitude Drift Evolution
4£®6£®3 Eccentricity Evolution
4£®6£®4 Inclination Evolution
4£®6£®5 Eclipses of the Solar by the Earth and Moon
4£®7 Perturbation Summaries
References

5 Harmonic Analysis Geostationary Orbit
5£®1 Introduction
5£®2 Harmonic Analysis
5£®3 Basic Functions and Periodic Expansion
5£®4 Determining the Coefficients with SVD Method
5£®5 Longitude and Drift Harmonics
5£®6 Eccentricity Vector Harmonics
5£®7 Inclination Vector Harmonics
References

6 Correction Geostationary Orbit
6£®1 Introduction
6£®2 Relative Motion Equation
6£®2£®1 Radial Equation
6£®2£®2 Tangential Equation
6£®2£®3 Normal Equation
6£®3 Orbit Correction Equation
6£®4 Radial Impulse
6£®5 Tangential Impulse
6£®6 Normal Impulse
6£®7 Continuous Thrust
6£®8 Onboard Thrust Configuration

7 Maintaining Geostationary Orbit
7£®1 Introduction
7£®2 North/South Station Keeping Strategy
7£®2£®1 General Background
7£®2£®2 Inclination Dead Band Allocation
7£®2£®3 Inclination Maneuver Strategy
7£®2£®4 Maneuver Calculation
7£®2£®5 Maneuver Planning
7£®2£®6 Case Study and Simulation
7£®3 East/West Station Keeping Strategy
7£®3£®1 General Background
7£®3£®2 Longitude Dead Band Allocation
7£®3£®3 Longitude Maneuver Strategy
7£®3£®4 Eccentricity Maneuver Strategy
7£®3£®5 Maneuver Calculation
7£®3£®6 Single-Pulse Maneuver Planning
7£®3£®7 Bi-Pulse Maneuver Planning
7£®3£®8 Tri-Pulse Maneuver Planning
References

8 Collocation Prototypes and Strategies
8£®1 Introduction
8£®2 Reference and Notation
8£®3 Collocation Relative Motion
8£®4 Collocation Principles
8£®5 Complete Longitude Separation
8£®6 Eccentricity Separation
8£®6£®1 Absolute Eccentricity Offsetting Strategy
8£®6£®2 Relative Eccentricity Offsetting Strategy
8£®6£®3 Evaluation of Eccentricity Separation Strategy
8£®6£®4 Solar Leading Eccentricity Control Strategy£®£®
8£®7 Combined Eccentricity and Inclination Separation
8£®7£®1 The Mathematical Prototype of E/I Strategy£®£®
8£®7£®2 Inclination Distribution Strategy
8£®7£®3 Inclination Maintenance Strategy
8£®8 A Bi-Satellite E/I Combined Separation Method
8£®9 A Coordinated E/I Combined Separation Method
8£®10 A Tri-Satellite Hybrid e-i Separation Method
8£®11 Safety Analysis and Collision Warning

References