Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for...
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Transcript of Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for...
![Page 1: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/1.jpg)
Occultation Studies of the
Outer Solar SystemB. Scott Gaudi
(Harvard-Smithsonian Center for Astrophysics)
![Page 2: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/2.jpg)
Collaborators•Cheongho Han (Chungbuk National University)
•Charles Alcock (CfA)
•Matt Lehner (University of Pennsylvania)
Publications
•Gaudi 2004, ApJ, 610, 1199
•Han & Gaudi 2005, in preparation
•Gaudi & Han 2005, in preparation
![Page 3: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/3.jpg)
Star Formation 101
Molecular Cloud Cores Collapse Ignition/Outflow Protoplanetary Disk Planetary System
Hogerheijde 1998
![Page 4: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/4.jpg)
Planet Formation 101
• Core-accretion Model• Dust Planetesimals (non G)• Planetesimals Protoplanets• Protoplanets Terrestrial Planets
Inner Solar System (<3AU) • Protoplanets Gas Giants
Outer Solar System (3AU-40AU)• Protoplanets Planetoids
Distant Solar System (> 40AU)
![Page 5: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/5.jpg)
The Kuiper Belt – General Properties• 1st member discovered in 1992
(1992 QB1; Jewitt & Luu 1993)• ~850 known. Total mass ~1% Earth• Radial Extent (30-50)AU, peak near 45 AU.
(Trujillo & Brown 2001)
![Page 6: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/6.jpg)
The Kuiper Belt – Dynamical Classes• Classical • Resonant• Scattered• Extended Scattered??
(Gladman et al. 2001)
![Page 7: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/7.jpg)
The Kuiper Belt – Dynamical Classes• Classical • Resonant• Scattered• Extended Scattered??
(Gladman et al. 2001)(Elliot et al. 2005)
![Page 8: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/8.jpg)
The Kuiper Belt – Size Distribution• Power Law
– Assumes albedo• Break
– age ~ collision time– HST/ACS– r ~ 100 km
(Bernstein et al. 2004)
m10qr )15( q
6.0
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The Kuiper Belt – Binaries• At least 5%-10% of KBOs in binaries • Size ratios ~ unity• Separations ~ 100 x radius• Formation mechanisms
– Weidenschilling (2002)– Goldreich et al. (2002)– Funato et al. (2003)– Astakhov et al. (2005)
(Noll et al 2004)
(Noll et al 2002)
![Page 10: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/10.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
semimajor axis (AU)
(Ken
yon
& B
rom
ley
2005
)
![Page 11: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/11.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
(Bernstein et al. 2004)
![Page 12: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/12.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
(Bernstein et al. 2004)
![Page 13: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/13.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
(Gru
ndy
et a
l. 20
05)
canonical ~ 4%
![Page 14: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/14.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
![Page 15: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/15.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
(She
ppar
d &
Jew
itt 2
004)
![Page 16: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/16.jpg)
The Kuiper Belt – Open Questions• Extended Scattered Disk?• Faint-end distribution?
– Slope?– Number?– Dynamical classes?
• Albedos/Sizes?• Close binaries?• The rest of the solar system?
– Three orders of magnitude in distance– Nine orders of magnitude in volume!
![Page 17: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/17.jpg)
Limitations of Direct Measurements• Strong scaling with size and distance
• Occultations– Bailey (1976)– Dyson (1992)– Brown & Webster (1997)– Roques & Moncuqeut (2000)
42Flux dr
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Principles of Occultations• Physical Parameters
• Scales– angular size
– velocity
– proper motionvdR ,,
1
AU10010kmas140
dRdR
d
vv AUcos opp.at s km27 -1
km 30AU100hr"1
11- vd
dv
![Page 19: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/19.jpg)
Principles of Occultations• Observables
– Duration
– Crossing Time
t
Kt1
1-s km 3010km0.3s
vR
t
212 btt K
Statistical information only
b
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Principles of Occultations
• Observables– Ingress/Egress time– Impact parameter– Dimensionless source
size
*
* 1
*
Sun
*1
pc250RAU10010km0.1
dRdR
bb *
1
*
Sun
** pc250R
as20
dR
![Page 21: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/21.jpg)
Principles of Occultations• Observables
– Fringe Spacing
– Dimensionless Fresnel angle
F
F
F
dF
2/12/1
100AU545nmas4
d
12/12/1
km10100AU545nm03.0
Rd
![Page 22: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/22.jpg)
Principles of Occultations• Observables
• Parameters
F*
vdR ,,
Ft ,, *2
*2
*2
F
d
2*
*2 F
R
KF tv 1
2 2*
*
![Page 23: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/23.jpg)
Parameter Uncertainties• Light curves
– 10% errors (V=14)– 5 Hz sampling
• Parameters– N measurements
• Uncertainties
iii c
ip
1bc
21
1
kj
k
i
kN
kij pF
pFb
kF
![Page 24: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/24.jpg)
Parameter Uncertainties• Uncertainties
– Well-constrained
– Poorly constrained
bttK ,, 0
K ,*
![Page 25: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/25.jpg)
Parameter Uncertainties
• Weak constraintsfor faint sources
![Page 26: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/26.jpg)
Parameter Uncertainties• “Next Generation” • Experiment
– 3% (V=14)– 30 Hz sampling
• Good constraints
![Page 27: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/27.jpg)
Occutations by Binaries
• Detection Rate?• Binary properties
– Primary size– Size ratio– Separation
• Photometric properties– Sampling rate– Photometric errors
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Occutations by Binaries
• Conditional prob.– 10 Hz– S/N>10
bttK ,, 0
%10
%3
%1
![Page 29: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/29.jpg)
Occutations by Binaries
• Can detect:– 50% of equal-sized binaries
with d/R < few– 10% of equal-sized binaries
with d/R < 10
10%
3%
1%
![Page 30: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/30.jpg)
Occutations by Binaries• Improved precision can
dramatically increase rate– Especially for small objects
10%
3%
1%
![Page 31: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/31.jpg)
Occutation Surveys
• Challenges– Short event duration
– Low event rate
1
1-s km 3010km0.6s
vRt
2dr
![Page 32: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/32.jpg)
Occutation Surveys
• Challenges– Short event duration
– Low event rate
– Monitor >1000 stars
1
1-s km 3010km0.6s
vRt
2dr135 yr1010 (R<10km)
![Page 33: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/33.jpg)
Occutation Surveys
• Kepler100,000 starsmag precisionLong exposure timesHigh ecliptic latitude
![Page 34: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/34.jpg)
Occutation Surveys
Taiwanese-American Occultation Survey (TAOS)
• Telescopes & Hardware– Four 50 cm robotic telescopes– f/1.9– 2 square degree 2Kx2K cameras– Jade Mountain, Taiwan
• Data– 2000 stars– 5Hz– 10 precision– Short exposure times
![Page 35: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/35.jpg)
Occutation Surveys
• Shutterless “Zipper” mode
![Page 36: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/36.jpg)
Occutation Surveys
Next Generation Survey• Requirements
– Higher cadence– Improved photometry
(reduced sky background)– Color information
• Space based– Modeled after Kepler– Prism
TAOS
![Page 37: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/37.jpg)
Occutation Surveys
Next Generation Survey
600m at 45 AU 600m at 100 AU
![Page 38: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/38.jpg)
Occutation Surveys
TAOS
Next Genera
tion
![Page 39: Occultation Studies of the Outer Solar System B. Scott Gaudi (Harvard-Smithsonian Center for Astrophysics)](https://reader036.fdocuments.in/reader036/viewer/2022062523/5a4d1ace7f8b9ab0599705e4/html5/thumbnails/39.jpg)
Summary• Many unanswered questions about the Kuiper belt.• Outer solar system largely unexplored.• Reflected light detections limited• Occultation light curves subject to degeneracies
– Additional parameters enable parameter measurement– High cadence and accurate photometry needed
• Binaries detected via occultations• Occultation surveys are challenging
– Short duration– Low event reate