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  • TITLE
  • DEDICATION
  • DECLARATTON
  • CERTIFICATE
  • ABSTRACT
  • ACKNOWLEDGEMENT
  • CONTENTS
  • LIST OF TABLES
  • LIST OF FIGURES
  • LIST OF APPENDICES
  • NOMENCLATURE
  • 1. INTRODUCTION
  • 1.1 Historical background
  • 1.2 General Introduction
  • 1.3 Perturbed Equations of motion
  • 1.4 Fictitious Time / New Independent Variable
  • 1.5 Levi-Civita Matrix
  • 1.6 KS Transformation
  • 1.7 Hamiltonians Equations of motion
  • 1.8 Canonical Elements
  • 1.9 CanonicaI equations of motion
  • 1.10 Canonical Equations of Motion in Fictitious time
  • 1.11 Separation of Jacobis equation
  • 1.12 KS Uniformly Regular Canonical Elements
  • 1.13 Drag force in terms of KS uniformly regular canonical elements
  • 1.14 Bessel functions of imaginary argument In (z)
  • 1.15 Conclusions
  • 2. LONG TERM ORBIT PREDICTIONS WITH EARTHS OBLATENESS
  • 2.1 Introduction
  • 2.2 Perturbations and Legendre Polynomials
  • 2.3 Initial conditions
  • 2.4 Numerical Integration
  • 2.5 Sun-synchronous orbit
  • 2.6 Near Critical inclination orbits
  • 2.7 Comparison with LRS-IA orbital data
  • 2.8 Conclusions
  • 3. LONGTE RM ORBIT PREDICTIONS WITH EARTHS FLATTENING
  • 3.1 Introduction
  • 3.2 Earths flattening perturbations
  • 3.3 Derived Legendre Functions and Normalized Geopotential Coefficients
  • 3.4 Computational Procedure
  • 3.5 Numerical results
  • 3.6 Comparison with IRS-IA orbital data
  • 3.7 Conclusions
  • 4. SHORT TERM ORBITAL THEORY WITH J2, J3 AND J4
  • 4.1 Introduction
  • 4.2 Equations of Motion
  • 4.3 Analytical Integration
  • 4.4 Comparison with other results
  • 4.5 Numerical results
  • 4.6 Conclusions
  • 5. ORBITAL THEORY WITH AIR DRAG: SPHERICALLY SYMMETRICAL EXPONENTIAL ATMOSPHERE
  • 5.1 Introduction
  • 5.2 Model for air density
  • 5.3 Equations of motion
  • 5.4 Analytical integration
  • 5.5 Numerical results
  • 5.6 Conclusion
  • 6. ORBITAL THEORY WITH AIR DRAG: OBLATE EXPONENTIAL ATMOSPHERE
  • 6.1 Introduction
  • 6.2 Model for air density
  • 6.3 Equations of motion
  • 6.4 Analytical Integration
  • 6.5 Numerical Results
  • 6.6 Conclusion
  • 7. ORBITAL THEORY WITH AIR DRAG: OBLATE DIURNALLY VARYING ATMOSPHERE
  • 7.1 Introduction
  • 7.2 Model for air density
  • 7.3 Analytical integration
  • 7.4 Numerical results
  • 7.5 Conclusion
  • BIBLIOGRAPHY