Dispersion of the elements of nearly circular orbits

Details Dispersion of the elements of nearly circular orbits Dispersion of the elements of nearly circular orbits

Sep 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974kosis..12..792a&link_type=abstract

Kosmicheskie Issledovaniia, vol. 12, Sept.-Oct. 1974, p. 792-794. In Russian.

Mathematics

Circular Orbits, Elliptical Orbits, Orbit Calculation, Orbital Elements, Covariance, Matrices (Mathematics), Moments, Monte Carlo Method

Scientific paper

The dispersion of the elements of nearly circular elliptical orbits is treated in terms of the energy integral and the area integral written in cylindrical coordinates. The corrections to the radius, normal velocity, and tangential velocity are assumed to be normally distributed small magnitudes with a covariant matrix. The second proper moments and the mixed initial moments are obtained. The dispersion and correlation moments are calculated from formulas relating the initial and central moments.

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