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3.2.2.1 Principle.....................................................................................................................................................22<br />

3.2.2.2 Error Budget ..............................................................................................................................................26<br />

3.2.3 Inter-<strong>Satellite</strong>-Links (ISL) ............................................................................................................. 27<br />

3.2.3.1 Principle.....................................................................................................................................................27<br />

3.2.3.2 Error Budget ..............................................................................................................................................28<br />

3.2.3 <strong>Navigation</strong> <strong>System</strong> (GPS/GLONASS) .......................................................................................... 28<br />

3.2.3.1 Principle.....................................................................................................................................................29<br />

3.2.3.2 Error Budget ..............................................................................................................................................29<br />

3.3 CONCLUSION.......................................................................................................................................... 30<br />

CHAPTER 4 MAJOR ERROR SOURCES OF SATELLITE OBSERVATIONS................................... 31<br />

4.1 ATMOSPHERIC ERRORS .......................................................................................................................... 31<br />

4.1.1 Tropospheric Error ........................................................................................................................ 32<br />

4.1.2 Ionospheric Effect.......................................................................................................................... 33<br />

4.2 MULTIPATH EFFECT ............................................................................................................................... 35<br />

4.2.1 Multipath Envelopes...................................................................................................................... 36<br />

4.2.2 Influence <strong>of</strong> Multipath Errors on Range and Phase Observations ................................................. 38<br />

4.3 CLOCK ERRORS...................................................................................................................................... 41<br />

CHAPTER 5 PERTURBATION MODELS OF IGSO, GEO AND MEO SATELLITE ORBITS ............. 43<br />

5.1 THE EARTH GRAVITATIONAL PERTURBATION........................................................................................ 43<br />

5.1.1 Computation <strong>of</strong> Legendre Polynomials ......................................................................................... 43<br />

5.1.2 Computation <strong>of</strong> Geopotential Perturbation.................................................................................... 44<br />

5.1.3 The Effect <strong>of</strong> Geopotential Perturbation........................................................................................ 45<br />

5.1.3.1 Influence <strong>of</strong> Geopotential on IGSO <strong>Satellite</strong>s ............................................................................................46<br />

5.1.3.2 Geopotential Influence on GEO <strong>Satellite</strong>...................................................................................................51<br />

5.1.3.3 Geopotential Influence on MEO (GPS) .....................................................................................................55<br />

5.2 THE SOLAR AND LUNAR ATTRACTIONS ................................................................................................. 56<br />

5.3 THE SOLAR RADIATION PRESSURE MODEL............................................................................................ 58<br />

5.3.1 Direct Radiation Pressure .............................................................................................................. 58<br />

5.3.2 Effect <strong>of</strong> Eclipses........................................................................................................................... 60<br />

5.4 OTHER PERTURBATIONS......................................................................................................................... 62<br />

5.4.1 Solid Earth Tides ........................................................................................................................... 62<br />

5.4.2 Ocean Tides ................................................................................................................................... 63<br />

5.4.3 Ocean Tide Loading ...................................................................................................................... 64<br />

CHAPTER 6 ALGORITHMS OF ORBIT DETERMINATION FOR IGSO, GEO & MEO SATELLITES<br />

....................................................................................................................................................... 65<br />

6.1 NUMERICAL INTEGRATION..................................................................................................................... 65<br />

6.1.1 Runge-Kutta Integration ................................................................................................................ 65<br />

6.1.2 Adams-Cowell Algorithm.............................................................................................................. 66<br />

6.1.3 Cowell Algorithm .......................................................................................................................... 67<br />

6.1.4 Numerical Integration <strong>of</strong> <strong>Satellite</strong> Dynamic Movement Equation................................................. 67<br />

6.2 ORBIT DETERMINATION METHODS ........................................................................................................ 68<br />

6.2.1 Kalman Filter for <strong>Orbit</strong> <strong>Determination</strong>.......................................................................................... 68<br />

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