Session S03 - Geometric and Variational Methods in Celestial Mechanics

Wednesday, July 21, 17:15 ~ 17:40 UTC-3

Projective geometry of the planar Kepler problem

Connor Jackman

CIMAT, Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The Kepler orbits are a 3-parameter family of plane curves: conics with a fixed focus. The group of (local) transformations of the plane preserving this family is 7-dimensional: the maximum possible for a 3-parameter family of plane curves. We will explain the construction of this action, and how these point symmetries can be useful to study the geometric properties of Kepler orbits.

Joint work with Gil Bor.

View abstract PDF