Reduction to proper elements for the entire solar system

Physics

Scientific paper

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Asteroids, Data Reduction, Orbit Calculation, Perturbation Theory, Secular Variations, Solar System, Apollo Asteroids, Eigenvalues, Orbital Elements, Orbital Mechanics, Resonance, Time Lag

Scientific paper

The theory of secular perturbations due to Brouwer and Clemence (1961) is examined. The solution of Brouwer and van Woerkom (1950) for reducing asteroidal osculating elements at epoch to proper elements, which covered semimajor axes ranging from 1.9 to 4.25 AU, is extended to semimajor axes in the range from 0.1 to 55 AU. The locations and strengths of secular resonances are indicated.

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