The Dynamical Evolution of the Short-Period Extrasolar Planet around υ Andromedae in the Pre-Main-Sequence Stage

摘要: We study the dynamical evolution of short-period planets in multiple planetary system during epoch protostellar disk depletion. Through a detailed case analysis for triple-planet around υ Andromedae, we identify necessary condition survival its planet b. In this study, calculate planets' orbit including effects post-Newtonian potential host star, an evolving disk, and due to flattening star produced by stellar rotation tide from planet. At present-day semimajor axis 0.059 AU, negligible eccentricity b is most likely damped dissipation tidal perturbation induced on But process also leads heating interior probably inflation their sizes. If once had greater than 0.1 at present location, would induce it overflow Roche lobe, lose mass, undergo orbital expansion. Using constraint, reconstruct find that even if arrives location nearly circular orbit, could have been excited sweeping secular resonances two outer planets, c d, addition contribution potential, resonant modified precession correction rotational distortion And's gravitational potential. Today, former effect offsets resonance, whereas latter weak. depletion relativistic outpaced The passage resonance near surface And cannot be avoided unless sufficiently fast spin provide flattened shape with finite quadrupole moment, which dominates planet's orbit. Finally, show requires low all times, possible only period was shorter 2 days disk.