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Angular Momentum in the Kuiper Belt. Scott S. Sheppard Carnegie Institution of Washington Department of Terrestrial Magnetism. Main Asteroid Belt 24 > 200 km. Trojan Asteroids 2 ~ 200 km. Kuiper Belt 10,000 > 200 km. Size Comparison of Rocky/Icy Bodies in the Solar System.
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Angular Momentum in the Kuiper Belt Scott S. Sheppard Carnegie Institution of Washington Department of Terrestrial Magnetism
Main Asteroid Belt 24 > 200 km Trojan Asteroids 2 ~ 200 km Kuiper Belt 10,000 > 200 km
Size Comparison of Rocky/Icy Bodies in the Solar System For Diameters > 200 km: Gravitational Self Compression > Material Strength Primordial Distribution of Angular Momentum - Early Collisional environment
Dynamical Classes in the Outer Solar System Dynamically Disturbed and Collisionally Processed.
Plan View of the Kuiper Belt Brightest KBO is 19th magnitude Diameter > 200 km Mag < 22.5
Overview of Data Sample of over 40 large KBOs Short and Long Term Variations 1) Light curves 2) Phase curves UH 2.2m -> Shapes -> Surface Characteristics -> Densities -> Binaries -> Angular Momenta -> Outgassing du Pont 2.5m
Short-term Variability 2000 GN171 2000 GN171 period = 7.9 hours • Albedo • Elongation • 3. Binary
KBOs (40 in sample) 29% > 0.15 mags 18% > 0.40 mags 12% > 0.60 mags
1. Albedo effects are usually only 10 to 20%(Degewij et al. 1979)
1/2 crit 2. Elongation For large objects (> 200 km) Spherical Gravitational Compression > Material Strength As angular momentum increases an object will go from being a sphere to biaxial to Triaxial elongation from rotational angular momentum P = (3 Pi / G rho) Centripetal acceleration = gravitational acceleration Rotational Triaxial Ellipsoids (Jacobi Ellipsoids) Fast Rotations < 7 hours (Leone et al. 1984)
Axis Ratio from rotational light curve: Period and amplitude can be related to an objects density 0.4 x delta mag a/b = 10 Varuna
Varuna Density ~ 1100 kg/m 3 Assume Rotationally distorted Strengthless Rubble Pile Chandrasekhar 1987 Leone et al. 1984 Cosmochemically Plausible Rock Fraction ~ 0.5 Porosity ~ 10 to 20% Jewitt and Sheppard 2002
3. Eclipsing Binaries • Probability of eclipse events to our line of sight decreases as the separation increases • Tidal interactions distort close components Photometric Range Max ~ 0.75 mags Photometric Range Max ~ 1.2 mags (Leone et al. 1984) 1999 TC36 (Trujillo and Brown 2002)
Period = 13.7744 hours 2001 QG298 Diameter ~ 250 km Range = 1.1 mags
2001 QG298 is only the 3rd known minor planet with diameter > 50 km and a photometric range > 1 magnitude Kleopatra 2001 QG298 Hektor
KBO 2001 QG298 Trojan Asteroid 624 Hektor Main Belt Asteroid 216 Kleopatra
CFHT Adaptive Optics images of Kleopatra Merline, Dumas and Menard 1999
Comparison of Large Main Belt Asteroids and Kuiper Belt Objects Sheppard and Jewitt 2004
100 km 20,000 km 100 km 1000 km 1 km 2.5 km Margot 2002 Comparison of typical binary systems within the Solar System.
KBO Binary Formation Mechanisms: Three Body Interactions Tidal Disruption Direct Collisions Funato et al. 2004
Known Binaries of Large Minor Planets in the Solar System Does a large angular momentum of the primary correspond to satellite formation? Current angular Momentum of Large objects hints At an earlier denser Kuiper Belt. Maybe 100 times more dense.
We find 5 of 34 KBOs are in the close, similar component, eclipsing binary region (15%) (Because of projection effects, the fraction may be much larger) Noll et al. (2002) found about 4% of KBOs were binary with separations > 0.15” Consistent with Goldreich et al. (2002) model of binary formation but not with the Weidenschilling model (2002) Collisionless interactions In a denser Kuiper Belt During the formation epoch. - Dynamical Friction would create more close in binaries
Conclusions - Many Kuiper Belt Objects have large amplitude light curves - Some may be rotationally deformed rubble piles - Many are probably contact or nearly contact binaries • Kuiper Belt must have been about 100 times more dense in the distant • past to explain current amount of angular momentum we see. • Binary formation is still unclear, but direct collisions may have be an • important factor.
Short and Long Term Variability Consecutive Nights Multiple Months Absolute Photometry 2 2 2 Mag = Msun – 2.5 log(albedo x radius x phase / heliocentric x geocentric )
Double-peak Period = 8.08 hours 1995 SM55 V-R=0.38 Binary or Cometary or Complex Rotation? Single-peak Period = 4.04 hours Damping time scale 2 3 t = u Q / p K r w u is rigidity Q is ratio energy in oscillation to that lost p is the density K is irregularity of body r is the radius w is angular frequency
1. Nonuniform Surface Markings Photometric Range ~ 2 mags B – V ~ 0.1 mags (Millis 1977) -synchronous rotation Iapetus Photometric Range ~ 0.3 mags -atmosphere
20000 Varuna Rotational Lightcurve(diameter ~ 900 km) Period = 6.3442 hours
Asteroid and KBO Limiting Densities Sheppard and Jewitt 2002
5 KBOs can not be easily explained from albedo or rotational elongation