Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.299..237b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 299, Issue 1, pp. 237-243.
Astronomy and Astrophysics
Astronomy
13
Celestial Mechanics, Stellar Dynamics
Scientific paper
The two-body problem with a generalized Stokes drag is discussed. The drag force is proportional to the product of the velocity vector and the inverse square of the distance. The generalization consists of allowing two different proportionality constants for the radial and the transverse components of the force. Under the `generalized Robertson transformation', the equation of the orbit takes the form of the Lommel equation and admits solutions in terms of Bessel and Lommel functions. The exact, analytical solutions for this type of drag reveal a paradoxical effect of increasing eccentricity for all trajectories. The Poynting-Robertson drag and Poynting-Plummer-Danby problems are discussed as particular cases of the general solution.
Breiter Slawomir
Jackson Andrew
No associations
LandOfFree
Unified analytical solutions to two-body problems with drag does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unified analytical solutions to two-body problems with drag, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unified analytical solutions to two-body problems with drag will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1535623