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      <Title>Measuring the Milky Way Mass with the Proper Motion of Leo T</Title>
      
      <Abstract>The Milky Way has long been used to study galaxy evolution and cosmology, but these studies are currently limited by the large uncertainty in its dark matter halo mass. The halo mass is poorly constrained mainly because it is difficult to find appropriate tracers of the potential at large Galacto-centric distances. Satellite galaxies are the best such tracers, and recent cosmological simulations have shown a well-defined relationship between a satellite's orbital energy -- which depends on halo mass -- and its infall time. The recently discovered dwarf galaxy Leo T is an optimal candidate for measuring the halo mass in two respects. It is the most distant of the MW satellites, providing a probe of the mass distribution at large scales. It is also the only MW dwarf spheroidal galaxy  with any gas; this makes it very likely that Leo T is currently falling into to MW for the first time. We propose to measure the bulk proper motion of Leo T using ACS/WFC in order to reconstruct its orbit. Using a well developed method of measuring the stellar proper motions with respect to an absolute reference frame composed of distant galaxies, we will be able to achieve a proper motion uncertainty of 0.03 mas/yr with a two year time baseline. Previous similar HST proper motion programs have shown that this precision is well within reach. A proper motion measurement of this precision, combined with the knowledge of Leo T's infall epoch, will allow for a determination of the mass of the MW within 400 kpc from the Galaxy, which is otherwise impossible.  This knowledge will significantly reduce one of the largest uncertainties in interpreting the Milky Way in cosmological context.</Abstract>
      
      <PrincipalInvestigator
         Honorific="Dr."
         FirstName="Tuan"
         LastName="Do"
         ESAMember="false"
         UniqueID="8667"
         Institution="University of Toronto"
         Country="CAN"
         State="ON"
         Contact="true" />
      
      <CoInvestigator
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         FirstName="Michael"
         LastName="Boylan-Kolchin"
         ESAMember="false"
         UniqueID="8951"
         Institution="University of Maryland"
         Country="USA"
         State="MD"
         Contact="false"
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      <CoInvestigator
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         UniqueID="12289"
         Institution="The Ohio State University"
         Country="USA"
         State="OH"
         Contact="false"
         AdminUSPI="false" />
      
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         MiddleInitial="S."
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         UniqueID="6348"
         Institution="University of California - Irvine"
         Country="USA"
         State="CA"
         Contact="false"
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         FirstName="Roeland"
         MiddleInitial="P."
         LastName="van der Marel"
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         UniqueID="3020"
         Institution="Space Telescope Science Institute"
         Country="USA"
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         Contact="false"
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         LastName="Anderson"
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         UniqueID="3772"
         Institution="Space Telescope Science Institute"
         Country="USA"
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         MiddleInitial="Tony"
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         Institution="The Johns Hopkins University"
         Country="USA"
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            <ObservingDescription>To measure the PMs of our target dwarf galaxies we plan to observe them in two epochs separated by ~2 years. In order to reach our goal of 1 mas astrometric precision for stars at i = 23, we require an integration time of t = 950 s for each image in F606W, slightly less than half of an HST orbit. We require 24 dither positions to sample the pixel phase as well as produce galaxy templates with high signal to noise. In order to aid in selection of dwarf galaxy members, we request short exposures in the F814W filter in the beginning of each orbit to provide colors for the stars. Observations with t = 427 &amp; 565 s will provide the 3-10% photometry necessary to construct useful color magnitude diagrams of these sources. We have split the observations for this cycle into 4 visits of 3 orbits each. These observations should be taken in within 30 days of each other to optimally combine the data.

These observations should be performed at an ORIENT of 278.982 degrees to match the orientation of observations from cycle 20. We request that these observations in cycle 22 be performed at the end of cycle 22 (after Nov. 2015) in order to maximize the time baseline between cycle 20 and cycle 22. This time baseline will significantly increase the precision of the proper motion measurements compared to observations near the beginning of the cycle.</ObservingDescription>
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         <Comments>This is the first visit for imaging the Leo T Dwarf Spheroidal Galaxy.  3 orbits are required to complete this visit.  For each visit we will do a set of 6-point dithering. The ORIENT should be as close to 278.982 as possible in order to match the first epoch of observation to limit systematic uncertainties in the proper motion measurements. We request that these visits should be completed within 30 days of each other to ensure that there is no significant proper motion between the visits in order to optimally combine the data for this epoch. We request that the visits be made in late 2015 in order to obtain the longest time baseline for the proper motion measurement -- this will enable a significantly better proper motion measurement compared to observing in the beginning of Cycle 22.</Comments>
         
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                     Y="0.1235" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="8"
                  Label="leot-acs-dither3"
                  TargetName="LEO-T"
                  Config="ACS/WFC"
                  Opmode="ACCUM"
                  Aperture="WFCENTER"
                  SpElement="F606W"
                  NumberOfIterations="1"
                  RealtimeAnalysis="false"
                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="950" />
                  
                  <PosTarg
                     X="0.3232"
                     Y="0.1235" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="9"
                  Label="leot-wfc3-dither3a"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
                  Aperture="UVIS"
                  SpElement="F814W"
                  NumberOfIterations="1"
                  RealtimeAnalysis="false"
                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="565" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="10"
                  Label="leot-wfc3-dither3"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
                  Aperture="UVIS"
                  SpElement="F606W"
                  NumberOfIterations="1"
                  RealtimeAnalysis="false"
                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="950" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
            </ExposureGroup>
            
            <ExposureGroup
               Type="Parallel">
               
               <Exposure
                  Number="11"
                  Label="leot-acs-dither4"
                  TargetName="LEO-T"
                  Config="ACS/WFC"
                  Opmode="ACCUM"
                  Aperture="WFCENTER"
                  SpElement="F606W"
                  NumberOfIterations="1"
                  RealtimeAnalysis="false"
                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="950" />
                  
                  <PosTarg
                     X="0.1005"
                     Y="0.3305" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="12"
                  Label="leoi-wfc3-dither4"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
                  Aperture="UVIS"
                  SpElement="F606W"
                  NumberOfIterations="1"
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                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="950" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="2"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
            </ExposureGroup>
         </ExposureGroup>
         
         <ExposureGroup
            Type="Non-Interruptible Sequence">
            
            <ExposureGroup
               Type="Parallel">
               
               <Exposure
                  Number="13"
                  Label="leot-acs-dither5a"
                  TargetName="LEO-T"
                  Config="ACS/WFC"
                  Opmode="ACCUM"
                  Aperture="WFCENTER"
                  SpElement="F814W"
                  NumberOfIterations="1"
                  RealtimeAnalysis="false"
                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="565" />
                  
                  <PosTarg
                     X="0.5030"
                     Y="0.0460" />
                  
                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="3"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="14"
                  Label="leot-acs-dither5"
                  TargetName="LEO-T"
                  Config="ACS/WFC"
                  Opmode="ACCUM"
                  Aperture="WFCENTER"
                  SpElement="F606W"
                  NumberOfIterations="1"
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                  RequiresUplink="false"
                  Expand="false"
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                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
                     Secs="950" />
                  
                  <PosTarg
                     X="0.5030"
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                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="3"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
               
               <Exposure
                  Number="15"
                  Label="leot-wfc3-dither5a"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
                  Aperture="UVIS"
                  SpElement="F814W"
                  NumberOfIterations="1"
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                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
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                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
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                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="3"
                        ScanDirection="" />
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               </Exposure>
               
               <Exposure
                  Number="16"
                  Label="leot-wfc3-dither5"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
                  Aperture="UVIS"
                  SpElement="F606W"
                  NumberOfIterations="1"
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                  RequiresUplink="false"
                  Expand="false"
                  LowSky="false"
                  Shadow="false"
                  NewAlignment="false"
                  NewObset="false"
                  NewObsetFullAcq="false"
                  SpecialCommand="false">
                  
                  <ExposureTime
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                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="3"
                        ScanDirection="" />
                  </SubExposures>
               </Exposure>
            </ExposureGroup>
            
            <ExposureGroup
               Type="Parallel">
               
               <Exposure
                  Number="17"
                  Label="leot-acs-dither6"
                  TargetName="LEO-T"
                  Config="ACS/WFC"
                  Opmode="ACCUM"
                  Aperture="WFCENTER"
                  SpElement="F606W"
                  NumberOfIterations="1"
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                  Expand="false"
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                  <ExposureTime
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                  <PosTarg
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                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
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                        ScanDirection="" />
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               </Exposure>
               
               <Exposure
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                  Label="leoi-wfc3-dither6"
                  TargetName="LEO-T"
                  Config="WFC3/UVIS"
                  Opmode="ACCUM"
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                  Expand="false"
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                  <ExposureTime
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                  <MaxDur />
                  
                  <MinDur />
                  
                  <Comments />
                  
                  <InstrumentParameters
                     CR-SPLIT="NO" />
                  
                  <SubExposures>
                     
                     <SubExposure
                        OrbitNumber="3"
                        ScanDirection="" />
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               </Exposure>
            </ExposureGroup>
         </ExposureGroup>
      </Visit>
      
      <Visit
         Number="02"
         Status="implementation"
         After=""
         Before="">
         
         <ToolData>
            
            <ToolDataItem
               Key="Visit Planner">
               
               <VpVisitData>
                  
                  <StVisitSchedulingWindows
                     Binary="true"
                     UpToDate="true"
                     StSchedulingPCF="1406851200000 0.0 1447372800000 1.0 1448063998999 0.0 1451606400000 1.0 1452815998999 0.0 1462060800000">
                     
                     <StConstraintSchedulingWindows
                        Name="Sun"
                        StSchedulingPCF="1406851200000 0.0 1412424000000 1.0 1434887998999 0.0 1443960000000 1.0 1462060800000" />
                     
                     <StConstraintSchedulingWindows
                        Name="Moon"
                        StSchedulingPCF="1406851200000 1.0 1408852799001 0.0 1408939200001 1.0 1411214399001 0.0 1411300800001 1.0 1413575999001 0.0 1413662400001 1.0 1415937599001 0.0 1416024000001 1.0 1418299199001 0.0 1418385600001 1.0 1420660799001 0.0 1420747200001 1.0 1422993599001 0.0 1423080000001 1.0 1425355199001 0.0 1425441600001 1.0 1427716799001 0.0 1427803200001 1.0 1430078399001 0.0 1430164800001 1.0 1432439999001 0.0 1432526400001 1.0 1434801599001 0.0 1434888000001 1.0 1437163199001 0.0 1437249600001 1.0 1439524799001 0.0 1439611200001 1.0 1441857599001 0.0 1441972800001 1.0 1444219199001 0.0 1444305600001 1.0 1446580799001 0.0 1446667200001 1.0 1448942399001 0.0 1449028800001 1.0 1451303999001 0.0 1451390400001 1.0 1453665599001 0.0 1453752000001 1.0 1456027199001 0.0 1456113600001 1.0 1458388799001 0.0 1458475200001 1.0 1460721599001 0.0 1460836800001 1.0 1462060800000" />
                     
                     <StConstraintSchedulingWindows
                        Name="Combined Roll Restriction"
                        StSchedulingPCF="1406851200000 0.0 1412380800000 1.0 1434931198999 0.0 1443916800000 1.0 1462060800000" />
                     
                     <StConstraintSchedulingWindows
                        Name="Target Visibility"
                        StSchedulingPCF="1406851200000 0.0 1413936000000 1.0 1415145599000 0.0 1418688000000 1.0 1419811198999 0.0 1425859200000 1.0 1436399998999 0.0 1442534400000 1.0 1443052798999 0.0 1446940800000 1.0 1448063998999 0.0 1451606400000 1.0 1452815998999 0.0 1456358400000 1.0 1457654398999 0.0 1458172800000 1.0 1462060798999 0.0 1462060800000" />
                     
                     <StConstraintSchedulingWindows
                        Name="Timing link"
                        StSchedulingPCF="1406851200000 0.0 1444780800000 1.0 1455407998999 0.0 1462060800000">
                        
                        <AncillaryData
                           Title="Comments"
                           Label="Comments">
                           
                           <String>Timing link suitability includes constraints ([Group (01 02 03 04) Within 30.0 days])</String>
                        </AncillaryData>
                     </StConstraintSchedulingWindows>
                     
                     <StConstraintSchedulingWindows
                        Name="Hst Same Orient (01 02 ...)"
                        StSchedulingPCF="1406851200000 0.0 1415836800000 1.0 1423267200000 0.0 1447372800000 1.0 1454803200000 0.0 1462060800000">
                        
                        <AncillaryData
                           Title="Comments"
                           Label="Comments">
                           
                           <String>Hst Same orient constraint links visits (01 02 03 04)</String>
                        </AncillaryData>
                     </StConstraintSchedulingWindows>
                     
                     <AncillaryData
                        Title="Comments"
                        Label="Comments">
                        
                        <String>The scheduling data was generated by CASM 22.2.</String>
                        
                        <String>CASM was run in Phase II mode.</String>
                     </AncillaryData>
                  </StVisitSchedulingWindows>
                  
                  <AncillaryData
                     Title="Roll Ranges Report"
                     Label="Roll Ranges Report"
                     Header="  Target: LEO-T&#xA;  RA: 09 34 53.6100&#xA;  DEC: +17 02 43.01&#xA;  Dates: 8/1/2014 -- 5/1/2016&#xA;&#xA;Day&#x9;Available Roll Ranges (U3 Angles)">
                     
                     <RollRangeChartPanel
                        Type=":TARGET"
                        StartTime="2014.213"
                        EndTime="2016.122"
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         <Comments>This is the third visit for imaging the Leo T Dwarf Spheroidal Galaxy. Visit 3 and 4 repeats together repeats the 12 point dither pattern from visit 1 and 2, but offset to cover the chip gap in ACS. 3 orbits are required to complete this visit.  For each visit we will do a set of 6-point dithering. We request that these visits should be completed within 30 days of each other to ensure that there is no significant proper motion between the visits in order to optimally combine the data for this epoch.</Comments>
         
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                           <String>Timing link suitability includes constraints ([Group (01 02 03 04) Within 30.0 days])</String>
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                           <String>Hst Same orient constraint links visits (01 02 03 04)</String>
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                     <AncillaryData
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                        <String>The scheduling data was generated by CASM 22.2.</String>
                        
                        <String>CASM was run in Phase II mode.</String>
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                  <AncillaryData
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