CITA Research September 2002 - August 2003
Dynamics and Planets


The recent discovery of planets orbiting stars other than the sun has revitalized the fields of dynamics and planet formation. One of the planets has been observed to transit its star, with the result that we know the radius and mass of the planet---it is a gas giant similar to Jupiter. Many of the planets follow small but eccentric orbits; the former suggests that the planets have migrated inward from their birthplaces, while the latter suggests that two or more planets have interacted. In 2002 CITA researchers made some novel suggestions for how the mutual gravitational perturbations between planets, and between a companion star and a planet, have influenced the orbits of some planetary systems. Research has also continued on the tidal dissipation in exoplanets, on their heated atmospheres, and on the formation of exoplanets in dusty disks.

Young stellar disk in the galactic center

Andrei Beloborodov and Yuri Levin analyzed the three-dimensional velocities of young stars in the inner 0.1 pc region of our galaxy and discovered that 10 out of total 13 stars in the sample have velocities lying in a single plane. The 10 stars also have common (clockwise) sense rotation on the sky. Levin and Beloborodov concluded that a thin stellar disk exists in the galactic center. This sheds light on the mysterious origin of young stars in this region where normal star formation is inhibited by the strong tidal field of the central black hole. Levin and Beloborodov proposed that the stars are remnants of a dense gaseous disk around the black hole that existed several million years ago and clumped into stars by gravitational instability.

Mass estimation in gravitating systems

Andrei Beloborodov and Yuri Levin developed a new method of ``cosmic roulette'' for mass estimation in gravitating systems with known instantaneous positions and velocities of test bodies. The method is based on a novel statistical approach to this classical astronomical problem. It allows one to calculate consistently both mean expectation (best-fit) value and error bars at a given confidence level, which was not possible with traditional methods based on the virial theorem. As a test, the method was applied to many Monte-Carlo realizations of N random satellites around a known mass, and showed a high performance. The method was applied to the galactic center and a new independent estimate was obtained for the mass of the central black hole

Mechanism for halting planet migration

Norm Murray, Isamu Matsuyama and Doug Johnstone (HIA) proposed a mechanism for halting migration in a gas disk. Photoevaporation of the disk by irradiation from the central star can produce a gap in the disk, preventing planets outside the gap from migrating down to the star. This would result in an excess of systems with planets at or just outside the photoevaporation radius. It may also halt migration in the inner disk, a possibility that becomes more likely when a massive star is located in the vicinity of the star-disk system.

Orbit of the extra-solar planet HD 80606

Norm Murrayand Yaqin Wu (University of Toronto) studied the origin of the highly eccentic (e=0.93) and tight (a=0.46 AU) orbit of the extra-solar planet HD 80606. The presence of a stellar companion to the host star suggests the possibility that the Kozai mechanism and tidal dissipation combined to draw the planet inward well after it formed. This implies that the initial planet orbit is highly inclined (nearly perpendicular) relative to the binary orbit. Wu and Murray investigated the likelihood of this scenario, as well as its consequences. Moreover, they showed that it is unlikely that the tide raised on the star by the planet can account for the velocity residual (after the motion induced by the planet is removed) observed on the host star. They also discussed the relevance of such a migration scenario for other planetary systems.

Detection of extrasolar dust particles

Norm Murray, Joe Weingartner and Chris Capobianco presented estimates of the minimum detectable particle sizes and collecting areas for ground based radar at Arecibo and New Zealand. Micron size extrasolar dust particles have been convincingly detected by satellites and Larger extrasolar meteoroids (5-35 microns) have most likely been detected by ground based radar at Arecibo and New Zealand. Murray and collaborators showed that particles larger than about 10 micron can propagate for tens of parsecs through the interstellar medium, opening up the possibility that ground based radar systems can detect AGB stars, young stellar objects such as T Tauri stars, and debris disks around Vega-like stars. They provide analytical and numerical estimates of the ejection velocity in the case of a debris disk interacting with a Jupiter mass planet. They also provide rough estimates of the flux of large micrometeoroids from all three classes of sources. Current radar systems are unlikely to detect significant numbers of meteors from debris disks such as Beta Pictoris. However, they suggest improvements to radar systems that should allow for the detection of multiple examples of all three classes.

Lithium-6 abundance

Using high-resolution, high quality spectra, Avi Mandell (Penn State), Jian Ge (Penn State) and Norman Murray investigated the presence of Lithium 6 in two lithium-poor stars that host extrasolar planetary systems. They present improved atomic and molecular line lists for the region in the vicinity of the lithium line at 6707.8 Angstroms, and produce an excellent fit to the solar spectrum. From line profle fitting, they find results consistent with no lithium 6 in either of the lithium-poor planet-bearing stars or in three comparison stars with and without planets, and 1-sigma upper limits of 0.04 for the isotopic ratios of the two lithium- poor stars give an upper limit of 0.3 Jupiter masses of material with primordial abundances that could have been recently deposited in their outer layers. These results suggest that post-main sequence accretion of planets or planetary material that is undepleted in lithium is uncommon.

Tidal Dissipation in Extra-Solar Planets

Wu and Arras (now in UCSB) are working on a research project: explaining the efficiency of tidal dissipation in Jupiter and extra-solar planets. Tide raised by Io on Jupiter is dissipated much faster than theorists expected. Interestingly, similar efficiency is measured in extra-solar planets for tide raised by their host stars. They focus on a physical mechanism that involves resonant excitation of inertial waves in these giant planets. These waves may be the common mechanism shared by Jupiter and exo-planets.

Atmospheric Dynamics of Extra-Solar Jupiters

Wu works on the atmospheric dynamics of Jupiter-like exo-planets. Turbulent diffusivity in the stratosphere of these planets is responsible for mixing different elements. She studied the spatial distribution and magnitude of this diffusivity, and found that sodium is likely to settle out of the stratosphere, thereby explaining the observed sodium deficit in the famous transiting planet HD 209458b.

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