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AST 1501 presentation 1 Nov 2005. Pawel Artymowicz University of Toronto, UTSC and St. George. 1. Structures vs. reasons (planets,…) 2. Dust, avalanches, f IR , gas, and the classification of disks 3. HD 141569A as an example 4. Non-axisymmetric features without planets. New edge-
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AST 1501 presentation 1 Nov 2005 Pawel Artymowicz University of Toronto, UTSC and St. George 1. Structures vs. reasons (planets,…) 2. Dust, avalanches, fIR, gas, and the classification of disks 3. HD 141569A as an example 4. Non-axisymmetric features without planets
New edge- on disk NICMOS/ HST (Schneider et al 2005)
STIS/Hubble imaging (Heap et al 2000) Modeling (Artymowicz,unpubl.): parametric, axisymmetric disk cometary dust phase function Optical thickness Dust density Possible mini-projects like this! Radius r [AU] Height z [AU]
The danger ofoverinterpretation of structure Are the PLANETS responsible for EVERYTHING we see? Are they in EVERY system? Or are they like the Ptolemy’s epicycles, added each time we need to explain a new observation? Also, do we really need a new type of particle for every bandpass [optical, sub-mm]?
FEATURESin disks: (9) blobs, clumps ■ streaks, feathers ■ rings (axisymm) ■ rings (off-centered) ■ inner/outer edges ■ disk gaps ■ warps ■ spirals, quasi-spirals■ tails, extensions ■ ORIGIN: (10) ■ instrumental artifacts, variable PSF, noise, deconvolution etc. ■ background/foreground obj. ■ planets (gravity) ■ stellar companions, flybys ■ dust migration in gas ■ dust blowout, avalanches ■ episodic release of dust ■ ISM (interstellar wind) ■ stellar UV, wind, magnetism ■ collective eff. (selfgravity radiative instab.) (Most features additionally depend on the viewing angle)
FEATURES in disks: blobs, clumps ■ streaks, feathers ■ rings (axisymm) ■ rings (off-centered) ■ inner/outer edges ■ disk gaps ■ warps, incl. disks ■ spirals, quasi-spirals■ tails, extensions ■ ORIGIN: ■ instrumental artifacts, variable PSF, noise, deconvolution etc.
FEATURES in disks: blobs, clumps ■ streaks, feathers ■ rings (axisymm) ■ rings (off-centered) ■ inner/outer edges ■ disk gaps ■ warps ■ spirals, quasi-spirals■ tails, extensions ■ ORIGIN: ■ background or foreground objects
AB Aur : disk or no disk? Fukugawa et al. (2004) another “Pleiades”-type star no disk
? Source: P. Kalas
AU Microscopii & a less inclined cousin This is a coincidentally(!) aligned background galaxy
FEATURES in disks: blobs, clumps ■ streaks, feathers ■ rings (axisymm) ■ rings (off-centered) ■ inner/outer edges ■ disk gaps ■ warps ■ spirals, quasi-spirals■ tails, extensions ■ ORIGIN: ■ planets (gravity)
Some models of structure in dusty disks rely on too limited a physics: ideally one needs to follow: full spatial distribution, velocity distribution, and size distribution of a collisional system subject to various external forces like radiation and gas drag -- that’s very tough to do! Resultant planet depends on all this. Beta = 0.01 (monodisp.)
Dangers of fitting planets to individual frames/observations: Vega has 0, 1, or 2 blobs, depending on bandpass. What about its planets? Are they wavelength-dependent too?
HD 141569A is a Herbig emission star >2 x solar mass, >10 x solar luminosity, Emission lines of H are double, because they come from a rotating inner gas disk. CO gas has also been found at r = 90 AU. Observations by Hubble Space Telescope (NICMOS near-IR camera). Age ~ 5 Myr, a transitional disk Gap-opening PLANET ? So far out?? R_gap ~350AU dR ~ 0.1 R_gap
HD141569+BC in V band HD141569A deprojected HST/ACS Clampin et al.
Bird Migrations Why & how do birds migrate? To cope with changing seasons, most birds migrate, few hibernate. In high arctic regions (northern Alaska, northern Canada, and Greenland), the entire population of birds often consists of migratory birds (they stay for summer only). In the forest and open country of United States, over 80% of the nesting land birds are migratory. However, on the Pacific Coast, more species are non-migratory; in tropical regions at least 80% of the birds are non-migratory. In the Rockies and Sierras of the West, migration often consists of moving from the high to low elevations. Rosy Finches, Townsend's Solitaires, and Mountain Quail perform these movements quite regularly whereas others, such as Clark's Nutcracker, are much more erratic. The annual fall migration of the Townsend's Solitaire may consist merely of descending a few thousand feet from a high mountain forest to the shelter of a wooded valley. Some migration schedules do not always closely follow seasonal changes in the weather. For example, since the vegetative food supply of nomadic species such as the crossbills, redpolls, and Pine Grosbeaks fluctuates in abundance from year to year, these birds migrate in some winters and not in others. In contrast, insect-eating birds such as warblers, vireos, and flycatchers that live in the far north have no choice but to migrate. Their migration therefore tends to involve long distancesand regular timing.
Planetary Migrations Do planets migrate? How? How fast? Are bird & planet migrations similar? Do they migrate long-way or locally? Do they migrate regularly or erraticaly? Do planets migrate alone or in flocks? Where and how do they stop migrating?
Migration Type I : embedded in fluid Migration Type II : more in the open (gap)
Migration Type I : embedded in fluid Migration Type II : in the open (gap) Migration Type III partially open (gap)
Type III Outward migration of protoplanets to ~100AU or outward migration of dust to form rings and spirals required to explain the structure in transitional (5-10 Myr old) dust disks and perheps also the (12-20Myr old) Beta Pictoris-type disks
DISK-PLANET interaction and migration, including outward migration It used to be just type I and II... now we study a new mode of migration: type III
Migration: type 0 type I type II & IIb type III N-body Interaction: Gas drag + Radiation press. Resonant excitation of waves (LR) Tidal excitation of waves (LR) Corotational flows (CR) Gravity Timescale of migration: from ~1e2 yr to disk lifetime (~1e7 yr) > 1e4 yr > 1e5 yr > 1e2 - 1e3 yr > 1e5 yr (?) ……………………………………………………………………….
Planets were thought to always shepherd planets…or was it the other way around? Pan opens Encke gap in A-ring of Saturn Shepherding by Prometheus and Pandora
A gap-opening body in a disk: Saturn rings, Keeler gap region (width =35 km) This new 7-km satellite of Saturn was announced in May 2005. To Saturn
Prometheus (Cassini view) (Mini-project! Rings as a laboratory to study possible type III migration?)
Variable-resolution PPM (Piecewise Parabolic Method) [Artymowicz 1999] Jupiter-mass planet, fixed orbit a=1, e=0. White oval = Roche lobe, radius r_L= 0.07 Corotational region out to x_CR = 0.17 from the planet disk gap (CR region) disk
Type I -- III migration Figure From: “Protostars and Planets IV (2000)”; Artymowicz (this talk). type III Time-scale (years)
Simulation of a Jupiter-class planet in a constant surface density disk with soundspeed = 0.05 times Keplerian speed. PPM = Piecewise Parab. Method Artymowicz (2000), resolution 400 x 400 Although this is clearly a type-II situation (gap opens), the migration rate is NOT that of the standard type-II, which is the viscous accretion speed of the nebula.
Consider a one-sided disk (inner disk only). The rapid inward migration is OPPOSITE to the expectation based on shepherding (Lindblad resonances). Like in the well-known problem of “sinking satellites” (small satellite galaxies merging with the target disk galaxies), Corotational torquescause rapid inward sinking. (Gas is trasferred from orbits inside the perturber to the outside. To conserve angular momentum, satellite moves in.)
Now consider the opposite case of an inner hole in the disk. Unlike in the shepherding case, the planet rapidly migrates outwards. Here, the situation is an inward-outward reflection of the sinking satellite problem. Disk gas traveling on hairpin (half-horeseshoe) orbits fills the inner void and moves the planet out rapidly (type III outward migration). Lindblad resonances produce spiral waves and try to move the planet in, but lose with CR torques.
xCR NO MIGRATION: In this frame, comoving with the planet, gas has no systematic radial velocity V = 0, r = a = semi-major axis of orbit. Symmetric horseshoe orbits, torque ~ 0 0 a r Librating Corotational (CR) region protoplanet disk Librating Hill sphere (Roche lobe) region xCR = half-width of CR region, separatrix distance
SLOW MIGRATION: In this frame, comoving with the planet, gas has a systematic radial velocity V = - da/dt = -(planet migr.speed) asymmetric horseshoe orbits, torque ~ da/dt 0 a r FAST MIGRATION: CR flow on one side of the planet, disk flow on the other Surface densities in the CR region and the disk are, in general, different. Tadpole orbits, maximum torque 0 a r
Saturn-mass protoplanet in a solar nebula disk (1.5 times the Minimum Nebula, PPM, Artymowicz 2003) Azimuthal angle (0-360 deg) Type III outward migration Condition for FAST migration: disk mass (in CR region) similar to planet mass. Notice a carrot-shaped bubble of “vacuum” behind the planet. Consisting of material trapped in librating orbits, it produces CR torques smaller than the matrial in front of the planet. The net CR torque powers fast migration. 1 2 3 radius
Summary of type-III migration • Extremely rapid (timescale < 1000 years). CRs >> LRs, disks do not shepherd planets. Requires sufficient disk density • Direction depends on prior history, not just on disk properties. • Supersedes a much slower, standard type-II migration (&type I ??) • Migration stops on disk features (rings, edges and/or substantial density gradients.) Such edges seem natural (dead zone boundaries, magnetospheric inner disk cavities, formation-caused radial disk structure) • Offers possibility of survival of giant exoplanets at intermediate distances (0.1 - 1 AU), • ...and of terrestrial planets during the passage of a giant planet on its way to the star (last Mohican scenario) • STRUCTURE in OUTER REGIONS of dusty transitional & debris disks
Next Steps:Toward a better LR/CR perturbation theory • Previous perturbation theories started from circular unperturbed orbits [those do not exist] • and assumed infinitesimal perturbations (Fourier decomposition allowed) [not always!] • Alternative way: unperturbed state adjusted for perturbation. Trajectories of all essential types (disk orbits, corotational hairpin/horeseshoes, closed orbits around planet) • On that set of unperturbed flow lines, 1st order perturbation should give a better approximation • Migration and additional effects can be incorporated
Guiding center trajectories in Hill problem Unit of distance = Hill sphere Unit of da/dt = Hill sphere radius per dynamical time Animation by Eduardo Delgado
Examples of simple orbital sets obtained from the simplification of Hill’s equations of motion.
FEATURES in disks: blobs, clumps ■ streaks, feathers ■ rings (axisymm) ■ rings (off-centered) ■ inner/outer edges ■ disk gaps ■ warps ■ spirals, quasi-spirals■ tails, extensions ■ ORIGIN: ■ stellar companions, flybys
Stellar flyby (of an elliptic-obit companion) explains some features of HD 141569A Augereau and Papaloizou (2003) Application of the idea to Beta Pictoris less certain...
Quillen et al. (2004) HD 141569A
Ardila et al (2005)Flyby+planetesimals --> dust production & outflow H/r = 0.05 H/r =0.1 LTE Linear dust prod. = 4 Mgas = 50 ME Quadratic prod.
Ardila et al (2005) Flyby+plane+planetesimals No planet 5 MJ, e=0.6 planet = 4 H/r = 0.1 Mgas = 50 ME Linear dust prod. Quadratic prod.
Best model, Ardila et al (2005) Beta = 4 H/r = 0.1 Mgas = 50 ME 5 MJ, e=0.6, a=100 AU planet HD 141569A