Experiments in orbit determination using numerical methods

Details Experiments in orbit determination using numerical methods Experiments in orbit determination using numerical methods

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..299t&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, Aug. 1985, p. 299-317.

Statistics

Computation

Numerical Analysis, Orbit Calculation, Computational Grids, Integral Equations, Newton-Raphson Method, Spline Functions, Transformations (Mathematics)

Scientific paper

The applicability of advanced numerical methods for the solution of the orbit determination problem is studied. The dynamics of the observed object is written as a system of integral equations. This system is solved numerically by representing the components of the force function as linear combinations of B-splines and by applying the multigrid technique. In an outer loop the orbit determination problem is solved using Newton's method. The method is suitable for both preliminary orbit determination and orbit improvement.

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