Ram Krishan Sharma
Karunya University
India
Title: On analytical theories of Earth satellite orbits prediction in terms of KS regular and uniformly regular KS canonical elements
Biography
Biography: Ram Krishan Sharma
Abstract
Precise orbit computation of artificial Earth Satellite is a basic necessity for accurate mission planning, satellite geodesy, re-entry and orbital lifetime estimates. Though the numerical integration methods can generate more accurate ephemeris of a satellite with respect to a complex force model, the analytical solutions represent a manifold of solutions for a large domain of initial conditions and parameters and find indispensable application to mission planning and qualitative analysis. The method of the KS total-energy equations [1] in terms of the KS regular elements and uniformly regular KS canonical elements has been found to be very powerful for obtaining numerical as well as analytical solutions with respect to different perturbing forces. Utilizing the KS and the uniformly regular KS canonical elements, we have developed a number of non-singular analytical theories for short-term orbit predictions with Earth’s oblateness and luni-solar perturbations in closed form in eccentricity and inclination, and for long-term orbit predictions of near-Earth satellite orbits for low as well as for high eccentricity orbits with the air drag effect utilizing different analytical drag models including oblate diurnally varying atmosphere with density scale height variation with altitude [2, 3, 4]. In the present lecture, we systematically highlight our above studies for a wide range of orbits.