HOME
Search & Results
Full Text
Thesis Details
Page:
167
Full Screen
TITLE
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
LIST OF TABLES
LIST OF FIGURES
1 INTRODUCTION
1.1 General introduction
1.2 KS element equations
1.2 1 Equations of motion in a plane
1.2.2 Equations of motion in space
Fig. 1.2.1: Definition of eccentric anomaly E
Fig. 1.2.2: Components of the force f?acting on the satellite
1.2.3 Lagranges planetary equations
1.2.4 Drag Force in terms of KS elements
1.2.5 Bessel functions of imaginary argument In (z)
1.2.6 Conclusion
2 SHORT-TERM ORBIT PREDICTIONS WITH EARTHS ZONAL HARMONICS J5 TO J8 IN TERMS OF KS ELEMENTS
2.1 Introduction
2.2 Equations of Motion
2.3 Analytic: Integration
2.4 Numerical results
Table 2-1 - initial condition (position, velocity and osculating orbital parameters)
Table 2-2: Changes in semi-major axis (m) during a revolution with J5, J6, J7 and J8 from the initial epoch
Table 2-3: Changes in semi-major axis (m) during a revolution with Js, J6, J7 and J8 from the initial epoch
Table 2-4: Changes in inclination (deg) during a revolution with J5, J6, J7 and J8 (i x 1G) from the initial epoch
Table 2-5: Changes in inclination (deg) during a revolution with J5, J6, J7 and J8 (i), 10) from the initial epoch
2.5 Conclusion
Table 2-6: Changes in argument of perigee + true anomaly (deg) during a revolution with J5, J6, J7 and J8 from the initial epoch.
2.6 APPENDIX
3 ORBITAL THEORY FOR AN OBLATE EXPONENTIAL ATMOSPHERE IN TERMS OF KS ELEMENTS
3.1 Introduction
3.2 Model for air density
3.3 Equation of variation of energy
3.4 Equations for variation of the KS elements
3.5 Numerical results
Table 3-1 Decrease in semi-major axis after 100 revolutions
Table 3-2 Decrease in semi-major axis after 100 revolutions
Table 3-3. Decrease in (e x 105) after 100 revolutions
Fig. 3-1: Comparison between ANAL and by NUM values of semi-major axis decrease after 100 revolutions
Fig. 3-2: Comparison between ANAL and NUM values of eccentricity decrease alter 100 revolutions
3.6 Conclusion
Fig. 3-3: Comparison between ANAL3 and ANAL4 values of semi-major axis decrease after 100 revolutions
4 ORBITAL THEORY FOR AN ATMOSPHERE WITH DAY TO-NIGHT DENSITY VARIATION IN TERMS OF KS ELEMENTS
4.1 Introduction
4.2 Day-time bulge
4.3 Variations in angular frequency and KS elements
4.4 Numerical results
Table 4-1 Decrease in semi-major axis after 100 revolutions
Table 4-2: Decrease it semi-major axis after 100 revolutions
Table 4-3: Changes in eccentricity x 105after 100 revolutions
Fig. 4-1: Comparison between ANAL and NUM values of semi-major axis decrease after 100 revolutions
Fig. 4-2: Comparison between ANAL and NUM values of eccentricity decrease after 100 revolutions
4.5 Conclusion
Fig. 4-3: Comparison between ANAL3 and ANAL4 values of semi-major axis decrease after 100 revolutions
5 ORBITAL THEORY FOR AN OBLATE DIURNALLY VARYING ATMOSPHERE IN TERMS OF KS ELEMENTS
5.1 Introduction
5.2 Density Model
5.3 Change in Angular frequency and KS elements
5.4 Numerical results
Table 5-1 Decrease in semi-major axis after 100 revolutions
Table 5-2 Decrease in semi-major axis after 100 revolutions
Table 5-3: Decrease in eccentricity x 105 after 100 revolutions
Fig. 5-1: Comparison between ANAL and NUM values of semi-major axis decrease after 100 revolutions
Fig. 5-2: Comparison between ANAL and NUM values of eccentricity decrease after 100 revolutions
5.5 Conclusion
Fig. 5-3: Comparison between ANAL3 and ANAL4 values of semi-major axis decrease after 100 revolutions
6 ORBITAL THEORY IN TERMS OF KS ELEMENTS WHEN ATMOSPHERIC SCALE HEIGHT VARIES WITH ALTITUDE
6.1 Introduction
6.2 Atmospheric density model
6.2 Variations in angular frequency and KS elements
6.3 Numerical results
Table 6-1: Decrease in semi-major axis after 100 revolutions
Table 6-2: Decrease in semi-major axis after 100 revolutions
Table 6-3: Decrease in eccentricity x 105 after 100 revolutions
Fig. 6-1: Comparison between ANAL4 and NUM values in semi-major axis decrease after 100 revolutions
Fig. 6-2: Comparison between ANAL4 and NUM values in eccentricity decrease after 100 revolutions
6.4 Conclusion
Fig. 6-3: Comparison between ANAL3 and ANAL4 values in semi-major axis decrease after 100 revolutions
7 ORBITAL THEORY USING KS ELEMENTS IN AN OBLATE DIURNALLY VARYING ATMOSPHERE WITH SCALE HEIGHT DEPENDING ON ALTITUDE
7.1 Introducttion
7.2 Atmospheric density model
7.3 Variations in angular frequency and KS elements
7.4 Numerical results
Table 7-1: Decrease in semi-major axis after 100 revolutions
Table 7-2: Decrease in semi-major axis after 100 revolutions
Table 7-3: Decrease in eccentricity x 105 after 100 revolutions
Fig. 7-1: Comparison between NUM and ANAL values in semi-major axis decrease after 100 revolutions
7.5 Conclusion
Fig. 7-2: Comparison between NUM and ANAL4 values in eccentritity decrease after 100 revolutions
Fig. 7-3: Comparison between ANAL3 and ANAL4 values in semi-major axis after 100 revolutions
8 A STUDY ON SWINERD AND BOULTON THEORY AND KS ELEMENT THEORY IN AN OBLATE DIURNALLY VARYING ATMOSPHERE WITH SCALE HEIGHT DEPENDING ON ALTITUDE
8.1 Introduction
8.2 Basic equations for a and e
8.3 Numerical results
Table 8-1: Decrease in semi-major axis after 100 revolutions
Table 8-2: Decrease in semi-major axis after 100 revolutions
Table 8-3: Decrease in eccentricity x 105 after 100 revolutions
Table 8-4: Comparison between ANAL and KSANAL values with NUM values of semi-major axis decrease after 500 revolutions with inclination 50 degrees
Table 8-5: Comparison between ANAL and KSANAL values with NUM values of eccentricity decrease after 500 revolution with inclination 50 degree
Fig. 8-1: Comparison between NUM and ANAL4 values in semi-major axis decrease after 100 revolutions
Fig. 8-2: Comparison between NUM and ANAL4 values in eccentricity decrease after 100 revolutions
8.4 Conclusion
Fig. 8-3: Comparison between KSANAL and ANAL values in semi-major axis decrease after 100 revolutions
BIBLIOGRAPHY