Realizing Keplerian orbits as geodesics on a surface of revolution
| dc.contributor.advisor | Smith, Alex | |
| dc.contributor.author | Barrette, Brandon | |
| dc.date.accessioned | 2008-02-04T21:04:42Z | |
| dc.date.available | 2008-02-04T21:04:42Z | |
| dc.date.issued | 2007-05-01T21:04:42Z | |
| dc.description | Color poster with text and graphs describing research conducted by Brandon Barrette advised by Alex Smith. | en |
| dc.description.abstract | It is well known that in Newtonian physics, the gravitational trajectories in a central gravitational field are conic sections with one focus at the central mass. This is known as Kepler's First Law. We consider those gravitational trajectories that lie in a fixed plane P (perhaps thought of as an ecliptic plane), and investigate this question: to what extent can P be embedded as a surface of revolution S inside an abstract three-dimensional Euclidean space E in such a way that gravitational trajectories are mapped to geodesics on S, subset of E? | en |
| dc.description.sponsorship | University of Wisconsin--Eau Claire Office of Research and Sponsored Programs. | en |
| dc.format.extent | 374777 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://digital.library.wisc.edu/1793/23192 | |
| dc.language.iso | en_US | en |
| dc.relation.ispartofseries | USGZE AS589 | en |
| dc.subject | Kepler's laws | en |
| dc.subject | Orbits | en |
| dc.subject | Gravitation | en |
| dc.subject | Posters | en |
| dc.title | Realizing Keplerian orbits as geodesics on a surface of revolution | en |
| dc.type | Presentation | en |