- Series
- Dynamical Systems Working Seminar
- Time
- Friday, February 2, 2018 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 271
- Speaker
- Gladston Duarte – University of Barcelona & GT – gladston@maia.ub.es
- Organizer
- Jiaqi Yang
In a given system of
coordinates, the Restricted Three-Body Problem has some interesting
dynamical objects, for instance, equilibrium points, periodic orbits,
etc.
In this work, some connections between the stable and unstable manifolds
of periodic orbits of this system are studied. Such connections let one
explain the movement of Quasi-Hilda comets, which describe an orbit
that sometimes can be approximated by an ellipse of semi-major axis
greater than Jupiter's one, sometimes smaller.
Using a computer algebra system, one can compute an approximation to
those orbits and its manifolds and investigate the above mentioned
connections.
In addition, the Planar Circular model is used as a base for the fitting
of the orbit of comet 39P/Oterma, whose data were collected from the
JPL Horizons system. The possibility of using other models is also
discussed.