CONTRACTION OF SATELLITE ORBITS USING UNIFORMLY REGULAR KS CANONICAL ELEMENTS WITH DRAG AND OBLATENESS
- Paper number
IAC-09.C1.10.1
- Author
Dr. Xavier James Raj, Indian Space Research Organisation(ISRO), India
- Coauthor
Dr. Ram Krishan Sharma, Indian Space Research Organization (ISRO), India
- Year
2009
- Abstract
Accurate orbit prediction of the near-Earth’s satellites is important for reentry and orbital lifetime estimates. The orbital decay of these satellites is mainly controlled by atmospheric drag. The effects of the atmosphere are difficult to determine since the drag undergoes large fluctuations. The method of KS elements was employed to generate number of analytical solutions with different atmospheric models. Particular form of KS equations, known as uniform regular KS canonical equations, where all ten elements are constant for unperturbed motion and the equations permit the uniform formulation of the basic laws of elliptic, parabolic and hyperbolic motion, are used to generate number of analytical solutions with Earth’s oblateness and different atmospheric models (2007, 2009), which were found to be better than some of the existing solutions. In this paper the non-singular analytical theory with oblate diurnal atmosphere is extended by including the obtateness terms, in the KS canonical equations, considering the scale height variation with altitude. The series expansions in the theory includes up to fourth-order terms in eccentricity and c (dependent on flattening of the atmosphere). Only two of the nine equations are solved analytically with air drag perturbations to compute the state vector and change in energy at the end of each revolution, due to symmetry in the equations. At the end of each revolution, the secular effects due to J2 and J4 are added. Numerical comparisons of the computed values of the orbital parameters with numerically integrated values and real satellite show the effectiveness of the solution. References 1. Sharma, R.K. and Xavier James Raj, M. 2007 Fourth-order theories for orbit predictions for low and high eccentricity orbits in an oblate atmosphere with scale height dependent on altitude, 58th IAF, Hyderabad, India, IAC-07-C1.4.06. 2. Xavier James Raj, M. and Sharma, R.K. 2009 Contraction of near-Earth satellite orbits using uniformly regular KS canonical elerments in an oblate diurnally varying atmosphere with density scale height variation with altitude, submitted to the Journal Planetary and Space Science.
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