Session C1: Poster Session I (2:00 pm - 5:00 pm)

2:00 PM–2:00 PM, Monday, March 15, 2010
Room: Exhibit CD


Abstract ID: BAPS.2010.MAR.C1.157

Abstract: C1.00157 : Chaos and Order in the /. Body Problem

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Authors:

  Amanda Logue
    (The College of Wooster, Wooster OH 44691)

  John F. Lindner
    (The College of Wooster, Wooster OH 44691)

  Jacob Lynn
    (The College of Wooster, Wooster OH 44691)

  Frank W. King
    (The College of Wooster, Wooster OH 44691)

We study the classical dynamics of a line body or slash (/) and a point body or dot (.) interacting gravitationally. For this /. body problem, we show that the force and torque on the slash integrate exactly, greatly facilitating analysis. The diverse dynamics include a stable synchronous orbit, generic chaotic orbits, sequences of unstable periodic orbits, spin stabilized orbits, and spin-orbit coupling that can unbind the slash and dot. Applications include the dynamics of asteroid-moonlet pairs and asteroid rotation and escape rates. This work was supported in part by NSF DMR-0649112.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.MAR.C1.157