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A New Approach to Evaluate Planetary Perturbations on a Cloud of Dust in Low Eccentricity Heliocentric Orbits

Published online by Cambridge University Press:  12 April 2016

Bo. Å. S. Gustafson
Bo. Å. S. Gustafson*
Affiliation:
Space Astronomy Laboratory, University of Florida, 1810 NW 6th Street Gainesville, Florida 32609, U.S.A.

Abstract

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Dynamical perturbations on ensembles of particles in heliocentric orbits of low eccentricity are integrated over time. The dust is perturbed by radiation pressure, Poynting-Robertson drag, their corpuscular counterparts, and by gravitation due to any number of planets. A dust cloud is represented by a set of centroids and orbital dispersions (about the centroids). Gravitational perturbations on the centroid are derived from a single matrix, valid for any planet, in the appropriate frame of reference. After transformation of the time derivatives to a common coordinate system, the perturbation rates are summed up and integrated. The time dependence of the planets’ orbital elements are evaluated inside the time integral.

Type
VII. Dynamics of Interplanetary Dust
Information
International Astronomical Union Colloquium , Volume 85: Properties and Interactions of Interplanetary Dust , 1985 , pp. 381 - 384
Copyright
Copyright © Reidel 1985

References

Brouwer, D., and Van Woerkom, A.J.J., 1950, ‘The secular variations of the orbital elements of the principal planets’, Astron. Papers, XIII pt. II, 85.Google Scholar
Robertson, H.P., 1937, ‘Dynamical effects of radiation in the solar system’, Monthly Notices Roy. Astron. Soc., 97, 423.CrossRefGoogle Scholar