Application of the Integral Variation Method to Satellite Orbit Prediction

Details Application of the Integral Variation Method to Satellite Orbit Prediction Application of the Integral Variation Method to Satellite Orbit Prediction

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..41...65h&link_type=abstract

Celestial Mechanics, Volume 41, Issue 1-4, pp. 65-77

Computer Science

Scientific paper

The Integral Variation (IV) method is a technique to generate an approximate solution to initial value problems involving systems of first-order ordinary differential equations. The technique makes use of generalized Fourier expansions in terms of shifted orthogonal polynomials. The IV method is briefly described and then applied to the problem of near Earth satellite orbit prediction. In particular, we will solve the Lagrange planetary equations including the first three zonal harmonics and drag. This is a highly nonlinear system of six coupled first-order differential equations. Comparison with direct numerical integration shows that the IV method indeed provides accurate analytical approximations to the orbit prediction problem.

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