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Microlensing planet surveys: the second generation
Dan Maoz Tel-Aviv University with Yossi Shvartzvald, OGLE, MOA, microFUN
Conceived problems with microlensing:
1. Seems complicated…
2. and hence results suspect…
3. No “follow up” of planets possible
4. Statistically useless due to haphazard survey strategies
5. Planet yield so small -- not worth trouble?
R
ë = c2R4GM (ü 1)
R
S
DLS DOL
DOS
ë = c2R4GM (ü 1)
E
“microlensing”
(in our Galaxy):
In distant galaxies:
“macrolensing”,
“galaxy lensing”:
cluster lensing:
òE ù 1 asec
òE ù 10 asec
òE = 10à 6 asec
R
S
DLS DOL
DOS
ë = c2R4GM (ü 1)
E
R
S
DLS DOL
DOS
I+S + SA = I+A
ë = c2R4GM (ü 1)
~milliarcsec
Magnification=image area / source area :
magnification ~ 1/ (impact parameter)
DOL / v ~ M1/2
Einstein-ring crossing timescale:
ForDOL=8 kpc,
v=20 km/s
(1Msun) = 2 months
(1MJ)=2 days
S. Gaudi
The first microlensing lightcurves (LMC)
Alcock et al.
Nowadays, ~1000 microlensing events/yr detected toward Galactic bulge
Yee+ 09
Bond et al. 2004
Beaulieu et al. 2006
Udalski et al. 2005
Gould et al. 2006
“Jupiter”+”Saturn” system: 1+2+3+5=“Saturn”, 4=“Jupiter”
Gaudi et al. 2008
5.2 AU 9.5 AU
2.3 AU 4.6 AU
1 Msun 1 Mjup 1 Msat
Msat/Mjup = 0.30 Rjup/Rsat = 0.55
Mc/Mb = 0.37 Rb / Rc = 0.50
0.50 Msun 0.71 Mjup 0.90 Msat
Our solar system:
OGLE-2006-BLG-109L,b,c:
Han+2012 ,
OGLE-2012-BLG-0026
Second 2-planet system discovered: 0.7MJ (4.6 AU) and 0.1MJ (3.8 AU)
Simulation by S. Gaudi
Simulation by S. Gaudi
Simulation by S. Gaudi
q = Mp / Mhost
Caustics:
points in the source plane which get infinite magnification.
For a point lens, caustic is a single point behind the lens. (source there gets magnified into Einstein ring)
Caustic cusps
Magnification still ~ 1/(distance to caustic)
A. Cassan
Source passage on or near central caustics: high mag almost full Einstein ring ~100% detection efficiency for planets near Einstein radius (lensing region).
planetary caustics: low mag Lower planet detection efficiency per event, but much more common.
Gould et al. 2006, 2009
Microlensing probes a unique region of planetary parameter space…
Gould et al. 2006, 2009
…near the Einstein radii of stars ~ their snow lines.
SLensR M
Snowline scaling with mass:
star
Snowline-region planet frequency based on microlensing discovery statistics:
Gould et al. (2010, based on 6 planets):
~1/3 of stars have snowline-region planets;
~1/6 of stars have solar-like planetary systems;
Cassan et al. (2012, based on 2 (!) planets):
~1/6 host jupiters
~1/2 host neptunes
~2/3 host super-earths
Why so few?
“1st Generation” survey strategy (Gould & Loeb 1992) focused on bright, high-magnification (mag>100) events.
To date, only ~20 microlensing planets.
Udalski et al. 2005
Gould et al. 2006
Gaudi et al. 2008
1st Generation microlensing
OGLE, Chile, 1.3m MOA, NZ, 1.8m
• low cadence (~ once a night)
1st Generation microlensing
1st Generation microlensing
~650 events/year ~650 events/year
1st Generation Microlensing
Follow-up search for planetary perturbations with global network on bright, high-magnification events:
High-magnification (mag >100) events are:
Good: ~100% sensitivity to planets projected near Einstein radius,
+ high S/N light curves even with small and amateur telescopes.
Bad: Rare events (~1%) ~7 events/year 1-2 planets/year.
A. Cassan
As opposed to high-mag (central caustic) events,
Low-magnification (planetary caustic) events:
Lower planet detection efficiency, but much more common:
Potential for tens of microlensing planets/year.
Beaulieu et al. 2006
Need network of 1-2m class telescopes with degree-scale imagers for continuous monitoring of many low-mag events in search of planetary perturbations:
“Generation II microlensing”
Since 2011: A generation-II microlensing experiment:
Wise Obs., Israel, D=1m, 1 deg2
OGLE IV, Chile, D=1.3m, 1.4 deg2 MOA-II, NZ, D=1.8m, 2.3 deg2
Yossi Shvartzvald is there
The generation-II network
The generation-II network
Group
OGLE
The generation-II network
Group
OGLE
MOA
The generation-II network
Group
OGLE
MOA
WISE
Gen II8 deg2 of bulge with highest lensing rate covered quasi-continuously by all 3 telescopes, cadences 20-40 min
2011 season: some typical low-mag event light curves (no anomalies):
2011 Generation-II planetary events:
MOA-293
I-ba
nd (
mag
)I-
band
(m
ag)
I-ba
nd (
mag
)I-
band
(m
ag)
HJD-2450000HJD-2450000
Yee, Shvartzvald et al. 2012
Survey Survey data only:data only:
OGLEOGLEMOAMOAWiseWise
All data:All data:
OGLEOGLEMOAMOAWiseWise
2011 Generation-II planetary events
What to expect from Generation II?a simulation:
Monte-Carlo of many Solar-System-like planetary systems, host star properties matching those of bulge microlensing population, random inclinations.
Shvartzvald & Maoz 2012
• Various scalings of orbital
radius with host mass
SLensR M
Shvartzvald & Maoz 2012
S
Ray trace through systems…… …add real sampling sequences, photometry errors…
…search for planetary-type anomalies with same detection criteria as real data
Shvartzvald & Maoz 2012
S
Simulation results: can detect ~10-20% of planets around microlensed stars;
~100 stars in Gen-II footprint, so (10 to 20)*f planets per season.
Conceived problems with microlensing:
1. Seems complicated…
but calculable. An elegant geometric method.
2. Light curve complexity uniqueness of models
3. No “follow up” possible
Not quite valid/true.
4. Planet yield so small -- not worth trouble?
Untrue! Unique probe of normal planetary systems near snow line, beyond Solar neighborhood, free-floating planets, yield growing thx to Generation II (plus controlled experiment)
Some calendar numerology:
Today, 18 Dec 2012 is:
12 / 2 days since 12.12.12 (just married?);
3 days until 21.12.12 (end of the world);
24,377 days since May 2, 1946
=0.66667 century
Happy 2/3 centennial Birthday, Tsevi !!