Orbital evolution of short-period comets treated as a Markov process

Details Orbital evolution of short-period comets treated as a Markov process Orbital evolution of short-period comets treated as a Markov process

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aj.....84.1910r&link_type=abstract

Astronomical Journal, vol. 84, Dec. 1979, p. 1910-1917. Research supported by the Centre National de la Recherche Scientifique.

Astronomy and Astrophysics

Astronomy

10

Comets, Markov Chains, Orbit Calculation, Solar Orbits, Astronomical Models, Evolution (Development), Monte Carlo Method, Perturbation Theory, Three Body Problem, Comets, Orbits, Evolution, Markov Technique, Models, Distribution, Perturbations, Three Body Problem, Comparisons, Statistical Analysis, Monte Carlo Method, Data, Dynamics, Jupiter, Parameters

Scientific paper

A fast new method is introduced to study the orbital evolution of active comets in the inner planetary region. It models the time evolution of the cometary orbit distribution as a Markov chain. An empirically derived distribution of perturbations of aphelion and perihelion distances is used. These perturbations have been computed in the nonplanar, elliptic restricted three-body problem (sun-Jupiter-comet) using the Kustaanheimo-Stiefel regularization for a sample of 60,000 fictitious comet orbits. The results obtained for the steady-state orbital distribution are in broad agreement with those obtained from the same perturbation sample by a different method: the Monte Carlo simulation (Froechle and Rickman, 1979). Because of its extreme efficiency the Markov method allows a systematic survey of models for observable lifetimes and initial orbits.

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