3-D Secular Dynamics of the upsilon Andromedae Planetary System

Astrophysics, abstract
astro-ph/0505169

From: Tatiana Michtchenko A [view email]

Date: Mon, 9 May 2005 14:02:00 GMT   (987kb)

The three-dimensional secular behavior of a system composed of a central star
and two massive planets is modeled semi-analytically in the frame of the
general three-body problem. We apply the analysis to the case of the two outer
planets in the $\upsilon$ Andromedae system. The topology of the 3–D phase
space of this system is investigated in detail by means of surfaces of section,
topological and dynamical mapping techniques. We obtain the general structure
of its secular phase space, and the boundaries of its spatial secular
stability. We find that this system is secularly stable in a large domain of
eccentricities and inclinations.

Several regimes of motion of the $\upsilon$ Andromedae system are observed.
With respect to the secular angle $\Delta\varpi$, there are possible
circulations, oscillations (around 0 and $180^\circ$), and high
eccentricity/inclination librations in secular resonances. With respect to the
secular angle $\omega_1$, there are possible direct circulation and high
inclination libration around $\pm 90^\circ$ in the secular resonance. The
regions of transition between domains of different regimes of motion are
characterized by chaotic motion.

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