- Series
- CDSNS Colloquium
- Time
- Monday, January 9, 2012 - 11:05am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Marcel Guardia – Institute for Advanced Studies
- Organizer
- Rafael de la Llave
We consider the restricted planar elliptic 3 body problem, which models
the Sun, Jupiter and an Asteroid (which we assume that has negligible
mass). We take a realistic value of the mass ratio between Jupiter and
the Sun and their eccentricity arbitrarily small and we study the
regime of the mean motion resonance 1:7, namely when the period of the
Asteroid is approximately seven times the period of Jupiter. It is well
known that if one neglects the influence of Jupiter on the Asteroid,
the orbit of the latter is an ellipse. In this talk we will show how
the influence of Jupiter may cause a substantial change on the shape of
Asteriod's orbit. This instability mechanism may give an explanation of
the existence of the Kirkwood gaps in the Asteroid belt. This is a
joint work with J. Fejoz, V. Kaloshin and P. Roldan.