Astronomy and Astrophysics – Astronomy
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004dda....35.0103v&link_type=abstract
American Astronomical Society, DDA meeting #35, #01.03; Bulletin of the American Astronomical Society, Vol. 36, p.849
Astronomy and Astrophysics
Astronomy
Scientific paper
We explore the dynamics of two planets on inclined orbits through both analytical techniques and extensive numerical scattering experiments, and show that significant radial migration occurs predominantly by 2:1 and 5:3 mean motion resonant interactions. We derive a criterion for two equal mass planets on circular inclined orbits to achieve Hill stability, and relate that criterion to the eccentric case. Using Laplace-Lagrange secular theory, we obtain analytical secular solutions for the orbital inclinations and longitudes of ascending nodes, and use those solutions to distinguish between the secular and resonant dynamics which arise from the numerical simulations. Our ˜ 104 numerical simulations were performed with the Burlisch-Stoer integrator included with the HNbody package, and were run with a fine semimajor axis grid size on the order of ˜ 0.01 AU. We also illustrate how encounter maps, typically used to trace the motion of massless particles, may be modified to reproduce the gross instability seen by the numerical integrations. Such a correlation suggests promising future use of such maps to model the dynamics of massive planets.
Armitage Philip J.
Veras Dimitri
No associations
LandOfFree
The Dynamics of Two Planets on Inclined Orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Dynamics of Two Planets on Inclined Orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dynamics of Two Planets on Inclined Orbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1057369