The gravitational potential of axially symmetric bodies from a regularized green kernel
| hal.structure.identifier | FORMATION STELLAIRE 2011 | |
| dc.contributor.author | TROVA, Audrey | |
| hal.structure.identifier | FORMATION STELLAIRE 2011 | |
| dc.contributor.author | HURÉ, J.-M. | |
| hal.structure.identifier | FORMATION STELLAIRE 2011 | |
| dc.contributor.author | HERSANT, F. | |
| dc.date.issued | 2011-12 | |
| dc.date.conference | 2011 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.source.title | SF2A-2011: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: G. Alecian, K. Belkacem, R. Samadi and D. Valls-Gabaud, pp.685-688, 2011 | |
| dc.subject.en | Gravitation | |
| dc.subject.en | Methods: analytical | |
| dc.subject.en | Celestial mechanics | |
| dc.title.en | The gravitational potential of axially symmetric bodies from a regularized green kernel | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Planète et Univers [physics]/Astrophysique [astro-ph]/Astrophysique stellaire et solaire [astro-ph.SR] | |
| dc.subject.hal | Physique [physics]/Astrophysique [astro-ph]/Astrophysique stellaire et solaire [astro-ph.SR] | |
| bordeaux.page | 685-688 | |
| bordeaux.country | FR | |
| bordeaux.title.proceeding | SF2A-2011: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: G. Alecian, K. Belkacem, R. Samadi and D. Valls-Gabaud, pp.685-688, 2011 | |
| bordeaux.conference.city | Paris | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00651355 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00651355v1 | |
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