STABILITY OF UPSILON ANDROMEDAE'S
PLANETARY SYSTEM
Jack J. Lissauer, Eugenio
Rivera
The objectives of this project
are to study the dynamical properties of planetary systems that are consistent
with the observational data on the three-planet system orbiting the nearby main
sequence star Upsilon Andromedae. We find that systems with the planetary masses
and orbital parameters that provide the best fit to stellar radial velocity
observations made at Lick observatory through either February 2000 or July 2000
are substantially more stable than systems with the parameters originally announced
in April 1999. Simulations using the February 2000 parameters are stable for
planetary masses as much as four times as large as the observational lower bounds
(which are obtained by assuming that the Solar System lies in the orbital plane
of the Upsilon Andromedae planetary system). In relatively stable systems, test
particles (which can be thought of as representing asteroids or Earth-like planets
that are too small to have been detected to date) can survive for long times
between the inner and middle planets as well as several astronomical units or
more exterior to the outer planet, but we could find no stable orbits between
the middle and outer planets.