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Ph.D. Dissertation Defense
July 14th
, 2014
Stellar Variability:
A Broad and Narrow Perspective
Monnier et al. 2007
J. Robert Parks
Georgia State University
Advisor: Russel White
Committee: Peter Plavchan (IPAC)
John Monnier (Umich)
Fabien Baron
Doug Gies
Gary Hastings
Hal McAlister
Credit: NASA/JPL-Caltech/T. Pyle
Ph.D. Dissertation Defense
July 14th
, 2014
Here's hoping nobody gets beheaded during or after this talk...
Ph.D. Dissertation Defense
July 14th
, 2014
Types of Stellar Variability
Ph.D. Dissertation Defense
July 14th
, 2014
Era of High Precision Astronomy
● Photometry to parts per million, RV to m/s
● Complicates detection and characterization of exoplanets
● Complicates determination of fundamental parameters of stars
● Explores stellar interiors
● Explores stellar environments
Dumusque et al. 2012
http://astro.phys.au.dk/KASC/seismology/measurements.html
Ph.D. Dissertation Defense
July 14th
, 2014
www.crh.noaa.gov
The Broad
Long temporal baseline,
daily cadence photometric
survey of a group of coeval
stars.
The Narrow
High spatial resolution of a
starspots on a stellar
surface.
Ph.D. Dissertation Defense
July 14th
, 2014
● Young stellar objects often
found in chaotic
environments
● Many different variability
mechanism can be
working concurrently
● Temporal behavior along
with changes in stellar
brightness and color point
to variability mechanism
Photometric Monitoring of Young Stars
Isella (2006)
Ph.D. Dissertation Defense
July 14th
, 2014
ρ Ophiuchi
• Well studied low mass star forming region
– D ~ 125 pc, Age ~ 1 Myr
• Observations
– 2MASS Cal-PSWDB, 8’ x 1° FOV
– 1678 star, 1582 obs. per star (JHKs)
●
~ 8 million data points
– B ~ 2.5 yrs, cadence of ~ 1 day
• Heavy visual extinction (Av ~ 5 to 25 mag)
Ph.D. Dissertation Defense
July 14th
, 2014
Cool Starspots
● Magnetic in origin
● Stellar photosphere
● Stellar colors not correlated
with single band variability
● Periodic
● P < 14 days (Rebull 2001)
Hot Starspots
● Accretion shock or magnetic
flare
● Stellar photosphere
● Star becomes bluer as star
brightens
● Periodic or aperiodic
● P < 14 days (Rebull 2001)
● TS ~ days
Variable Extinction
● Circumstellar environment or
intra-cloud material
● Inner disk (~1 – 3 AU) or beyond
● Star becomes redder as star
dims
● Periodic or aperiodic
● P < 250 days
● TS > 50 days
Variable Mass Accretion
● Circumstellar disk heats via
mass transfer
● Inner Disk (~1 – 3 AU)
● Star becomes bluer as star
dims
● Aperiodic
● TS ~ days to years
Variability Mechanisms
Ph.D. Dissertation Defense
July 14th
, 2014
Cool Starspots Hot Starspots
(Accretion)
Ph.D. Dissertation Defense
July 14th
, 2014
Extinction Accretion
Ph.D. Dissertation Defense
July 14th
, 2014
● 7 point variability test
● 101 (6%) variable stars
● 72 known YSOs, 79% variable
– Class I: 92% (12 of 13)
– Class II: 72% (34 of 47)
– Class III: 92% (11 of 12)
● 22 new candidate members
● Variable sub-categories
– Periodic
● Sinusoidal-like
● Eclipse-like
– Long time-scale
– Irregular
Ph.D. Dissertation Defense
July 14th
, 2014
● 25 stars
● Periods: 0.49 to 25.55 days
● ΔKs 0.06 to 1.64 mag, median 0.29 mag
● 3 Class I, 8 Class II, & 8 Class III
● Dominant mechansim -> cool starspots
Sinusoidal-like Periodic Variables
Ph.D. Dissertation Defense
July 14th
, 2014
● 6 stars; all Class II
● Periods: 2.95 to 8.00 days
● ΔKs 0.21 to 0.51 mag, median 0.31 mag
● Dominant mechansim -> extinction
Eclipse-like Periodic Variables
Ph.D. Dissertation Defense
July 14th
, 2014
● 31 stars
● 7 Class I, 15 Class II, & 3 Class III
● Time-scales: 64 to 790 days
● Δ Ks
0.05 to 2.31 mag, median 0.29 mag
● Dominant mechansim -> extinction/accretion
Long Time-scale Variables
Ph.D. Dissertation Defense
July 14th
, 2014
Irregular Variables
● 40 stars
● 1 Class I, 7 Class II, & 1 Class III
● Δ Ks
0.04 to 1.11 mag, median 0.14 mag
● Dominant mechansim -> extinction/accretion
Ph.D. Dissertation Defense
July 14th
, 2014
ISO-Oph 126
Ps = 9.114 ± 0.090 days
ΔKs
 = 0.06 mag
Δ(H­Ks) = 0.10 mag
Cool Starspots
TS =  349 days
ΔKs
 = 0.1 mag
Δ(H­Ks) = 0.37 mag
Extinction
Ph.D. Dissertation Defense
July 14th
, 2014
WL 15
Ps = 19.412 ± 0.085 days
ΔKs
 = 0.90 mag
Δ(H­Ks) = 0.40 mag
Cool Starspots (?)
TS ≥ 47 days
ΔKs
 ~ 1 mag
Δ(H­Ks) = 0.50 mag
Extinction
Ph.D. Dissertation Defense
July 14th
, 2014
Ps
 = 5.7752 ± 0.0085 days
Pe
 = 5.9514 ± 0.0014 days
Phased to Sinusoidal Period
Phased to Eclipse-like Period
Δ P ~ 4 hours
Distinct to 20σ level
YLW 1C
Ph.D. Dissertation Defense
July 14th
, 2014
Potential hot proto-Jupiter
● AA Tau-like systems found in other surveys [citations]
● Driven occultations over millions of dynamical timescales
● Fundamental to understanding planet formation
Sinusoidal-like
Variability: Cool
Starspots
Eclipse-like
Variability:
Extinction from
occulting body
Ph.D. Dissertation Defense
July 14th
, 2014
Huelamo et al. 2008
● Starspots are common
● Inhibit determining stellar properties, finding planets 
● Effects can be better understood if starspots could be
● spatially resolved, and 
● temporally monitored
Transition Slide
Ph.D. Dissertation Defense
July 14th
, 2014
Previous Starspot Studies
Light Curve Inversion Doppler Imaging
● Indirect methods
● Rely heavily on initial assumptions
● Direct method → Long Baseline Interferometric Imaging!
Ph.D. Dissertation Defense
July 14th
, 2014
Primer I: UV & Aperture Synthesis
van Cittert-Zernike
Ph.D. Dissertation Defense
July 14th
, 2014
Primer II: Visibility and Closure Phase
●Visibility → Source Distribution
● ranges from 0 to 1
●Closure Phase →Source Asymmetry
● Ranges from -180º to 180º
● Asymmetry if non-zero or ±180º
Monnier 2003
Ph.D. Dissertation Defense
July 14th
, 2014
Primer III: Effects of Starspots on Vis & CP
● Starspots warp “diffraction pattern”
● 180º visibility ambiguity; CP necessary to resolve
Ph.D. Dissertation Defense
July 14th
, 2014
λ Andromeda
G8 III-IV
SB1
π = 38.74 ± 0.68 mas
D ~ 25 pc
vsini = 6.5 km/s
Pphot
~ 54 days
H = 1.501 mag
Δ V = 0.22 mag
θ ~ 2.75 mas
λ Andromeda is a
bright, large,
essentially single star
with high amplitude
photometric variability
attributed to starspots.
Ph.D. Dissertation Defense
July 14th
, 2014
Fairborn Observatory
Δ V ≤ 0.22 mag
Cool starspot driven variability with P ~ 54 days
11 years
Long Term Photometric Monitoring
Ph.D. Dissertation Defense
July 14th
, 2014
● 6 x 1-m telescopes
● Dense [u,v] coverage
● MIRC combiner in H band
● 8 spectral channels
● 2010 – photometric
channels
● 2011 – 6 telescope
combination
● ~0.4 mas maximum
resolution
● 27 epochs from 2007 to
2011
S1
S2
E1
E2
W2 W1
“Outer Array”, S1-E1-W1-W2
“Inner Array”, S2-E2-W1-W2
CHARA/MIRC
Ph.D. Dissertation Defense
July 14th
, 2014
Periodic Photometric Observations
P1 = 26.978 ± 0.032 days P2
= 54.25 ± 0.91 days
P3
= 55.0 ± 1.1 days P4
= 54.8 ± 1.9 days
Pavg
= 54.5 ± 2.4 days
2007 2008
2009 2010
Ph.D. Dissertation Defense
July 14th
, 2014
Parametric Model SQUEEZE Reconstruction
● GA and AMOEBA
minimization
● Free parameters:
● Stellar angular diameter
● Limb-darkening coefficient
● Starspot size, latitude,
longitude, and flux ratio
●
● Baron et. al 2010
● Monte-Carlo Markov Chain
minimization
● Minimizes flux gradients
Starspots
Artifact
Angular Resolution
Ph.D. Dissertation Defense
July 14th
, 2014
2007 & 2008 Observing Strategy
Nov 17th
, 2007
● 1 Inner Array snapshot
Aug 17th
through 21st
, 2008 &
Sep 20th
and Sep 27th
,2008
● 1 to 3 Outer Array snapshots
[u,v] Coverage
● 48 to 144 points
Each Data Block
● 6 visibilities
● 4 closure phase & triple
amplitudes
Ph.D. Dissertation Defense
July 14th
, 2014
Inconclusive results based
on limited [u,v] coverage
2007 & 2008 Data Sets
Ph.D. Dissertation Defense
July 14th
, 2014
2009 & 2010 Observing Strategy
Aug 24th
& Aug 25th
, 2009
●Bracketed obs. with Outer Array
during night's first half
●Bracketed obs. with Inner Array
during night's second half
●Combine both sets of data
●Repeat on consecutive night
●Combine nights together
Aug 2nd
through Sep 10th
, 2010
●
Same as 2009 except Sep 10th
[u,v] Coverage
● 624 to 1128 points (336 on Sep
10th
)
Each Data Block
● 11 visibilities
● 8 closure phase & triple
amplitudes
Strategy provides nearly 8x improvement in
[u,v] coverage and 2 additional closure phases
Ph.D. Dissertation Defense
July 14th
, 2014
Indicates presence of starspots
even at maximum brightness
2009 Data Set
Parameter Model Recon
φ1 4.1 ± 4.1 3.6
b1 -2.3 ± 1.9 -3.4
l1 -13.4 ± 5.3 -26.8
Tr1 0.931 ± 0.024 0.922
φ2 2.2 ± 2.2 2.0
b2 -0.8 ± 1.4 -2.3
l2 22.9 ± 2.0 21.1
Tr2 0.979 ± 0.010 0.924
Ph.D. Dissertation Defense
July 14th
, 2014
2010 Data Set
Ph.D. Dissertation Defense
July 14th
, 2014
2010 Light Curve
● Points extracted from
model images
● Scaled to match level
and amplitude of
photometric light curve
Ph.D. Dissertation Defense
July 14th
, 2014
2011 Observing Strategy
Sep 2nd
& Sep 24th
, 2011
●Bracketed obs. with all 6
telescopes simultaneously
[u,v] Coverage
● 200 to 864 points
Each Data Block
● 11 visibilities
● 20 closure phase & triple
amplitudes
Reduction in [u,v] coverage, however gains 12
additional closure phases
Ph.D. Dissertation Defense
July 14th
, 2014
2011 Data Set
Ph.D. Dissertation Defense
July 14th
, 2014
2011 Light Curve
Ph.D. Dissertation Defense
July 14th
, 2014
2010 λ Andromeda Rotation
Pspots = 60 ± 13 days Pphot
= 54.8 ± 1.9 days
Ph.D. Dissertation Defense
July 14th
, 2014
2011 λ Andromeda Rotation
Pspots = 54.0 ± 7.6 days Pphot
= 54.5 ± 2.4 days
Ph.D. Dissertation Defense
July 14th
, 2014
Still Don't Believe Me?
Ph.D. Dissertation Defense
July 14th
, 2014
Andromeda Rotation Axisλ
2010 2011
Φ = 20 ± 6.8°
i = 78 ± 1.5°
Φ = 23 ± 6.4°
i = 77.98 ± 0.18°
Ph.D. Dissertation Defense
July 14th
, 2014
 Conducted a high cadence, long baseline
variability of the molecular cloud ρ Oph
 Characterized the amplitude and timescales of
variability
 Discovered candidate ρ Oph members
 Discovered a number of stars with obvious
evidence of multiple variability mechanisms
Summary of Results I
Ph.D. Dissertation Defense
July 14th
, 2014
● Established that cool spots can be resolved on stars
besides the Sun.
● Tentative evidence for motion of cool starspots across
stellar disc.
● Performed ~2.5 year variability survey with a cadence of
~1 day.
● Identified 101 variables from 1678 target stars
● Identified 32 periodic variable stars
● Determined variability time-scales for 31 stars
● Tentatively identified dominant variability mechanism for
most variable stars
Summary of Results II
Ph.D. Dissertation Defense
July 14th
, 2014
Acknowledgements
Ph.D. Dissertation Defense
July 14th
, 2014
Bonus Slides
Ph.D. Dissertation Defense
July 14th
, 2014
Plavchan-Parks Algorithm
Ph.D. Dissertation Defense
July 14th
, 2014
Determination of Time-scales
Ph.D. Dissertation Defense
July 14th
, 2014
Parameter Extraction from Reconstructions
Ph.D. Dissertation Defense
July 14th
, 2014
Simulated Images for Artifact Identification

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Diss defense

  • 1. Ph.D. Dissertation Defense July 14th , 2014 Stellar Variability: A Broad and Narrow Perspective Monnier et al. 2007 J. Robert Parks Georgia State University Advisor: Russel White Committee: Peter Plavchan (IPAC) John Monnier (Umich) Fabien Baron Doug Gies Gary Hastings Hal McAlister Credit: NASA/JPL-Caltech/T. Pyle
  • 2. Ph.D. Dissertation Defense July 14th , 2014 Here's hoping nobody gets beheaded during or after this talk...
  • 3. Ph.D. Dissertation Defense July 14th , 2014 Types of Stellar Variability
  • 4. Ph.D. Dissertation Defense July 14th , 2014 Era of High Precision Astronomy ● Photometry to parts per million, RV to m/s ● Complicates detection and characterization of exoplanets ● Complicates determination of fundamental parameters of stars ● Explores stellar interiors ● Explores stellar environments Dumusque et al. 2012 http://astro.phys.au.dk/KASC/seismology/measurements.html
  • 5. Ph.D. Dissertation Defense July 14th , 2014 www.crh.noaa.gov The Broad Long temporal baseline, daily cadence photometric survey of a group of coeval stars. The Narrow High spatial resolution of a starspots on a stellar surface.
  • 6. Ph.D. Dissertation Defense July 14th , 2014 ● Young stellar objects often found in chaotic environments ● Many different variability mechanism can be working concurrently ● Temporal behavior along with changes in stellar brightness and color point to variability mechanism Photometric Monitoring of Young Stars Isella (2006)
  • 7. Ph.D. Dissertation Defense July 14th , 2014 ρ Ophiuchi • Well studied low mass star forming region – D ~ 125 pc, Age ~ 1 Myr • Observations – 2MASS Cal-PSWDB, 8’ x 1° FOV – 1678 star, 1582 obs. per star (JHKs) ● ~ 8 million data points – B ~ 2.5 yrs, cadence of ~ 1 day • Heavy visual extinction (Av ~ 5 to 25 mag)
  • 8. Ph.D. Dissertation Defense July 14th , 2014 Cool Starspots ● Magnetic in origin ● Stellar photosphere ● Stellar colors not correlated with single band variability ● Periodic ● P < 14 days (Rebull 2001) Hot Starspots ● Accretion shock or magnetic flare ● Stellar photosphere ● Star becomes bluer as star brightens ● Periodic or aperiodic ● P < 14 days (Rebull 2001) ● TS ~ days Variable Extinction ● Circumstellar environment or intra-cloud material ● Inner disk (~1 – 3 AU) or beyond ● Star becomes redder as star dims ● Periodic or aperiodic ● P < 250 days ● TS > 50 days Variable Mass Accretion ● Circumstellar disk heats via mass transfer ● Inner Disk (~1 – 3 AU) ● Star becomes bluer as star dims ● Aperiodic ● TS ~ days to years Variability Mechanisms
  • 9. Ph.D. Dissertation Defense July 14th , 2014 Cool Starspots Hot Starspots (Accretion)
  • 10. Ph.D. Dissertation Defense July 14th , 2014 Extinction Accretion
  • 11. Ph.D. Dissertation Defense July 14th , 2014 ● 7 point variability test ● 101 (6%) variable stars ● 72 known YSOs, 79% variable – Class I: 92% (12 of 13) – Class II: 72% (34 of 47) – Class III: 92% (11 of 12) ● 22 new candidate members ● Variable sub-categories – Periodic ● Sinusoidal-like ● Eclipse-like – Long time-scale – Irregular
  • 12. Ph.D. Dissertation Defense July 14th , 2014 ● 25 stars ● Periods: 0.49 to 25.55 days ● ΔKs 0.06 to 1.64 mag, median 0.29 mag ● 3 Class I, 8 Class II, & 8 Class III ● Dominant mechansim -> cool starspots Sinusoidal-like Periodic Variables
  • 13. Ph.D. Dissertation Defense July 14th , 2014 ● 6 stars; all Class II ● Periods: 2.95 to 8.00 days ● ΔKs 0.21 to 0.51 mag, median 0.31 mag ● Dominant mechansim -> extinction Eclipse-like Periodic Variables
  • 14. Ph.D. Dissertation Defense July 14th , 2014 ● 31 stars ● 7 Class I, 15 Class II, & 3 Class III ● Time-scales: 64 to 790 days ● Δ Ks 0.05 to 2.31 mag, median 0.29 mag ● Dominant mechansim -> extinction/accretion Long Time-scale Variables
  • 15. Ph.D. Dissertation Defense July 14th , 2014 Irregular Variables ● 40 stars ● 1 Class I, 7 Class II, & 1 Class III ● Δ Ks 0.04 to 1.11 mag, median 0.14 mag ● Dominant mechansim -> extinction/accretion
  • 16. Ph.D. Dissertation Defense July 14th , 2014 ISO-Oph 126 Ps = 9.114 ± 0.090 days ΔKs  = 0.06 mag Δ(H­Ks) = 0.10 mag Cool Starspots TS =  349 days ΔKs  = 0.1 mag Δ(H­Ks) = 0.37 mag Extinction
  • 17. Ph.D. Dissertation Defense July 14th , 2014 WL 15 Ps = 19.412 ± 0.085 days ΔKs  = 0.90 mag Δ(H­Ks) = 0.40 mag Cool Starspots (?) TS ≥ 47 days ΔKs  ~ 1 mag Δ(H­Ks) = 0.50 mag Extinction
  • 18. Ph.D. Dissertation Defense July 14th , 2014 Ps  = 5.7752 ± 0.0085 days Pe  = 5.9514 ± 0.0014 days Phased to Sinusoidal Period Phased to Eclipse-like Period Δ P ~ 4 hours Distinct to 20σ level YLW 1C
  • 19. Ph.D. Dissertation Defense July 14th , 2014 Potential hot proto-Jupiter ● AA Tau-like systems found in other surveys [citations] ● Driven occultations over millions of dynamical timescales ● Fundamental to understanding planet formation Sinusoidal-like Variability: Cool Starspots Eclipse-like Variability: Extinction from occulting body
  • 20. Ph.D. Dissertation Defense July 14th , 2014 Huelamo et al. 2008 ● Starspots are common ● Inhibit determining stellar properties, finding planets  ● Effects can be better understood if starspots could be ● spatially resolved, and  ● temporally monitored Transition Slide
  • 21. Ph.D. Dissertation Defense July 14th , 2014 Previous Starspot Studies Light Curve Inversion Doppler Imaging ● Indirect methods ● Rely heavily on initial assumptions ● Direct method → Long Baseline Interferometric Imaging!
  • 22. Ph.D. Dissertation Defense July 14th , 2014 Primer I: UV & Aperture Synthesis van Cittert-Zernike
  • 23. Ph.D. Dissertation Defense July 14th , 2014 Primer II: Visibility and Closure Phase ●Visibility → Source Distribution ● ranges from 0 to 1 ●Closure Phase →Source Asymmetry ● Ranges from -180º to 180º ● Asymmetry if non-zero or ±180º Monnier 2003
  • 24. Ph.D. Dissertation Defense July 14th , 2014 Primer III: Effects of Starspots on Vis & CP ● Starspots warp “diffraction pattern” ● 180º visibility ambiguity; CP necessary to resolve
  • 25. Ph.D. Dissertation Defense July 14th , 2014 λ Andromeda G8 III-IV SB1 π = 38.74 ± 0.68 mas D ~ 25 pc vsini = 6.5 km/s Pphot ~ 54 days H = 1.501 mag Δ V = 0.22 mag θ ~ 2.75 mas λ Andromeda is a bright, large, essentially single star with high amplitude photometric variability attributed to starspots.
  • 26. Ph.D. Dissertation Defense July 14th , 2014 Fairborn Observatory Δ V ≤ 0.22 mag Cool starspot driven variability with P ~ 54 days 11 years Long Term Photometric Monitoring
  • 27. Ph.D. Dissertation Defense July 14th , 2014 ● 6 x 1-m telescopes ● Dense [u,v] coverage ● MIRC combiner in H band ● 8 spectral channels ● 2010 – photometric channels ● 2011 – 6 telescope combination ● ~0.4 mas maximum resolution ● 27 epochs from 2007 to 2011 S1 S2 E1 E2 W2 W1 “Outer Array”, S1-E1-W1-W2 “Inner Array”, S2-E2-W1-W2 CHARA/MIRC
  • 28. Ph.D. Dissertation Defense July 14th , 2014 Periodic Photometric Observations P1 = 26.978 ± 0.032 days P2 = 54.25 ± 0.91 days P3 = 55.0 ± 1.1 days P4 = 54.8 ± 1.9 days Pavg = 54.5 ± 2.4 days 2007 2008 2009 2010
  • 29. Ph.D. Dissertation Defense July 14th , 2014 Parametric Model SQUEEZE Reconstruction ● GA and AMOEBA minimization ● Free parameters: ● Stellar angular diameter ● Limb-darkening coefficient ● Starspot size, latitude, longitude, and flux ratio ● ● Baron et. al 2010 ● Monte-Carlo Markov Chain minimization ● Minimizes flux gradients Starspots Artifact Angular Resolution
  • 30. Ph.D. Dissertation Defense July 14th , 2014 2007 & 2008 Observing Strategy Nov 17th , 2007 ● 1 Inner Array snapshot Aug 17th through 21st , 2008 & Sep 20th and Sep 27th ,2008 ● 1 to 3 Outer Array snapshots [u,v] Coverage ● 48 to 144 points Each Data Block ● 6 visibilities ● 4 closure phase & triple amplitudes
  • 31. Ph.D. Dissertation Defense July 14th , 2014 Inconclusive results based on limited [u,v] coverage 2007 & 2008 Data Sets
  • 32. Ph.D. Dissertation Defense July 14th , 2014 2009 & 2010 Observing Strategy Aug 24th & Aug 25th , 2009 ●Bracketed obs. with Outer Array during night's first half ●Bracketed obs. with Inner Array during night's second half ●Combine both sets of data ●Repeat on consecutive night ●Combine nights together Aug 2nd through Sep 10th , 2010 ● Same as 2009 except Sep 10th [u,v] Coverage ● 624 to 1128 points (336 on Sep 10th ) Each Data Block ● 11 visibilities ● 8 closure phase & triple amplitudes Strategy provides nearly 8x improvement in [u,v] coverage and 2 additional closure phases
  • 33. Ph.D. Dissertation Defense July 14th , 2014 Indicates presence of starspots even at maximum brightness 2009 Data Set Parameter Model Recon φ1 4.1 ± 4.1 3.6 b1 -2.3 ± 1.9 -3.4 l1 -13.4 ± 5.3 -26.8 Tr1 0.931 ± 0.024 0.922 φ2 2.2 ± 2.2 2.0 b2 -0.8 ± 1.4 -2.3 l2 22.9 ± 2.0 21.1 Tr2 0.979 ± 0.010 0.924
  • 34. Ph.D. Dissertation Defense July 14th , 2014 2010 Data Set
  • 35. Ph.D. Dissertation Defense July 14th , 2014 2010 Light Curve ● Points extracted from model images ● Scaled to match level and amplitude of photometric light curve
  • 36. Ph.D. Dissertation Defense July 14th , 2014 2011 Observing Strategy Sep 2nd & Sep 24th , 2011 ●Bracketed obs. with all 6 telescopes simultaneously [u,v] Coverage ● 200 to 864 points Each Data Block ● 11 visibilities ● 20 closure phase & triple amplitudes Reduction in [u,v] coverage, however gains 12 additional closure phases
  • 37. Ph.D. Dissertation Defense July 14th , 2014 2011 Data Set
  • 38. Ph.D. Dissertation Defense July 14th , 2014 2011 Light Curve
  • 39. Ph.D. Dissertation Defense July 14th , 2014 2010 λ Andromeda Rotation Pspots = 60 ± 13 days Pphot = 54.8 ± 1.9 days
  • 40. Ph.D. Dissertation Defense July 14th , 2014 2011 λ Andromeda Rotation Pspots = 54.0 ± 7.6 days Pphot = 54.5 ± 2.4 days
  • 41. Ph.D. Dissertation Defense July 14th , 2014 Still Don't Believe Me?
  • 42. Ph.D. Dissertation Defense July 14th , 2014 Andromeda Rotation Axisλ 2010 2011 Φ = 20 ± 6.8° i = 78 ± 1.5° Φ = 23 ± 6.4° i = 77.98 ± 0.18°
  • 43. Ph.D. Dissertation Defense July 14th , 2014  Conducted a high cadence, long baseline variability of the molecular cloud ρ Oph  Characterized the amplitude and timescales of variability  Discovered candidate ρ Oph members  Discovered a number of stars with obvious evidence of multiple variability mechanisms Summary of Results I
  • 44. Ph.D. Dissertation Defense July 14th , 2014 ● Established that cool spots can be resolved on stars besides the Sun. ● Tentative evidence for motion of cool starspots across stellar disc. ● Performed ~2.5 year variability survey with a cadence of ~1 day. ● Identified 101 variables from 1678 target stars ● Identified 32 periodic variable stars ● Determined variability time-scales for 31 stars ● Tentatively identified dominant variability mechanism for most variable stars Summary of Results II
  • 45. Ph.D. Dissertation Defense July 14th , 2014 Acknowledgements
  • 46. Ph.D. Dissertation Defense July 14th , 2014 Bonus Slides
  • 47. Ph.D. Dissertation Defense July 14th , 2014 Plavchan-Parks Algorithm
  • 48. Ph.D. Dissertation Defense July 14th , 2014 Determination of Time-scales
  • 49. Ph.D. Dissertation Defense July 14th , 2014 Parameter Extraction from Reconstructions
  • 50. Ph.D. Dissertation Defense July 14th , 2014 Simulated Images for Artifact Identification