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Lommel Functions in some Drag-Perturbed Problems

Published online by Cambridge University Press:  12 April 2016

Sławomir Breiter and
Albert A. Jackson
Sławomir Breiter
Affiliation:
Astronomical Observatory of the A. Mickiewicz University, Słoneczna 36, PL 60-286 Poznań, Poland . E-mail: breiter@phys.amu.edu.pl
Albert A. Jackson
Affiliation:
Lunar and Planetary Institute, 3600 Bay Area Blvd. Houston, TX 77058, USA.

Extract

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Let us consider the orbital problem in which a particle is subject to the force (per unit mass)

The force consists of the Newtonian two body attraction term and a drag part which is linear in both components of velocity (radial v r and transverse v t ). Depending on a physical interpretation of the parameters μ and α, as well as on the particular choice of the dimensionless constant γ, the model (1) can match various two body problems with dissipation. They include the classical Poynting-Robertson effect (Robertson, 1936) with γ = 1, Poynting’s (1903) version with γ = ½ and the two body drag cases recently studied by Mittleman and Jezewski (1982) and by Mavraganis and Michalakis (1994) under the name of Danby’s drag.

References

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