Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011sf2a.conf..685t&link_type=abstract
SF2A-2011: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: G. Alecian, K. Belkacem,
Astronomy and Astrophysics
Astrophysics
Gravitation, Methods: Analytical, Celestial Mechanics
Scientific paper
The determination of the gravitational potential inside celestial bodies (rotating stars, discs, planets, asteroids) is a common challenge in numerical Astrophysics. Under axial symmetry, the potential is classically found from a two-dimensional integral over the body's meridional cross-section. Because it involves an improper integral, high accuracy is generally difficult to reach. We have discovered that, for homogeneous bodies, the singular Green kernel can be converted into a regular kernel by direct analytical integration. This new kernel, easily managed with standard techniques, opens interesting horizons, not only for numerical calculus but also to generate approximations, in particular for geometrically thin discs and rings.
Hersant Franck
Hure Jean-Marc
Trova Antonello
No associations
LandOfFree
The gravitational potential of axially symmetric bodies from a regularized green kernel 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 The gravitational potential of axially symmetric bodies from a regularized green kernel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The gravitational potential of axially symmetric bodies from a regularized green kernel will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1439768