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<ri:Resource created="2025-04-14T08:59:35Z" status="active" updated="2026-08-03T07:22:33Z" version="1.2" xmlns:cs="http://www.ivoa.net/xml/ConeSearch/v1.0" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/ConeSearch/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/ConeSearch.xsd http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>Milky Way field giants from Gaia &amp; APASS I-band</title><shortName>J/ApJ/939/96</shortName><identifier>ivo://CDS.VizieR/J/ApJ/939/96</identifier><altIdentifier>doi:10.26093/cds/vizier.19390096</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Li S.</name></creator><creator><name>Casertano S.</name></creator><creator><name>Riess A.G.</name></creator><date role="Updated">2026-08-03T07:22:33Z</date><date role="Created">2025-04-14T08:59:35Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>giant-stars</subject><subject>milky-way-galaxy</subject><subject>two-color-diagrams</subject><subject>infrared-photometry</subject><subject>visible-astronomy</subject><subject>broad-band-photometry</subject><subject>extinction</subject><subject>trigonometric-parallax</subject><description>The calibration of the tip of the red giant branch (TRGB) in the I-band has a direct role in determinations of the Hubble constant, a subject of recent interest due to the discrepancy between direct and indirect estimates of its value. We present a maximum likelihood method designed to obtain an independent calibration of the brightness of TRGB using Gaia parallaxes from the Early Data Release 3 (EDR3) of Milky Way field giants at high Galactic latitude. We adopt simple parameterizations for the Milky Way stellar luminosity function and density law and optimize the likelihood of the observed sample as a function of those parameters. Using parameters to partially constrain the luminosity function from other galaxies similar to the Milky Way for which high-quality TRGB data are available, we find values of the TRGB magnitude of M_I_^TRGB^=-3.91+/-0.05(stat)+/-0.09(sys)mag, where the systematic uncertainty covers the range of shape parameters found in our Milky Way sample and in reference galaxies. While APASS Data Release 9 all-sky photometry is insufficient to provide a reliable constraint on the shape of the Milky Way luminosity function, we estimate that the photometry from Gaia Data Release 3 (mid-2022) will allow better constraints on the shape, and lower statistical uncertainties on the tip by a factor of 3. With the expected releases of improved parallax measurements from Gaia, the method of calibrating the TRGB luminosity from field giants is expected to reach ~0.01mag uncertainty, which is an important step toward a precise TRGB-based determination of the Hubble constant.</description><source format="bibcode">2022ApJ...939...96L</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/939/96</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>IsServedBy</relationshipType><relatedResource>Conesearch service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/II/336">II/336 : AAVSO Photometric All Sky Survey (APASS) DR9 (Henden+, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/I/350">I/350 : Gaia EDR3 (Gaia Collaboration, 2020)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/I/355">I/355 : Gaia DR3 Part 1. Main source (Gaia Collaboration, 2022)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/845/146">J/ApJ/845/146 : Carnegie-Chicago Hubble Program. II. IC 1613 (Hatt+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/482/5138">J/MNRAS/482/5138 : Gal. GC mean proper motions &amp; velocities (Baumgardt+, 2019)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/886/61">J/ApJ/886/61 : OGLE-III, MCPS and HST VI obs. of LMC &amp; SMC (Yuan+, 2019)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/904/13">J/ApJ/904/13 : RVel for 10 giant eclipsing binaries (Graczyk+, 2020)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/906/125">J/ApJ/906/125 : The Carnegie-Chicago Hubble Program IX. 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44934 44937-44938 44940 44944-44945 44948 44950-44952 44955 44959 44964-44966 44969 44972-44974 44976 44978-44979 44984 44986 44989-44991 44994 44997 44999-45000 45004 45008 45010-45011 45018-45019 45021 45032 45034-45035 45038 45043 45046 45051 45054-45055 45127 45136 45139 45169-45171 45173 45175-45176 45179-45180 45182-45183 45264-45265 45278 45297 45300 45302-45303 45309-45313 45316 45318 45321 45323 45326-45327 45330 45332 45334-45335 45339 45344-45345 45347 45349 45351-45354 45356-45357 45359 45361 45364 45370-45371 45373-45374 45377 45379 45382-45383 45389 45391 45395 45399 45402 45409 45411-45412 45421 45425 45429 45435 45439 45443-45445 45449 45453-45454 45457-45458 45460 45465 45467 45473 45475-45478 45480-45481 45483 45485 45487 45493-45494 45497 45499 45502 45504-45506 45509 45513-45516 45518-45519 45521-45522 45528-45530 45538-45539 45545 45548-45549 45554-45555 45653 45655 45663 45826 45828 45833 45835 45839-45840 45843-45844 45846-45848 45850 45852-45853 45855 45860-45862 45867-45870 45873-45876 45878-45881 45883-45884 45887 45890 45898-45899 45901 45906 45909 45919 45923 45927 45929 45931 45933 45935 45939 45942 45944-45945 45947-45948 45956 45973-45974 45981-45982 46000-46001 46003 46006-46007 46009 46012 46015 46017 46019 46021 46023 46025-46026 46029-46031 46033 46035 46037 46040 46042 46047 46049 46051 46056-46058 46062 46073 46079 46081 46103 46107 46113 46116 46121-46123 46128-46129 46138 46143 46148 46153-46154 46156 46161 46164 46167 46171 46177-46180 46191 46198 46200 46203 46208 46210 46215 46225 46235 46246 46248-46250 46253 46256-46257 46261 46275-46276 46280 46291 46295 46297 46303 46306 46325 46327-46328 46334-46335 46338 46350 46352 46359 46364 46383 46393 46405 46451 46462 46478 46481 46483 46486 46491 46495 46497 46505-46506 46514 46523 46532 46539-46540 46542 46561 46570 46577 46587-46588 46593 46600-46601 46604 46606 46619 46622-46624 46626 46633 46638 46641-46642 46644 46646 46650 46659 46675-46677 46686 46690-46691 46698-46699 46707-46708 46713 46720-46721 46724-46726 46729-46730 46732 46734 46736 46743-46744 46747 46749 46752 46754 46761-46762 46765 46769 46774 46783 46787 46791-46792 46794 46808 46810 46814 46819 46823 46827 46830-46831 46833 46838 46840-46842 46851 46854 46863-46864 46866 46869 46872 46874-46875 46878 46886 46893 46896 46910 46916 46918 46921 46924-46925 46934 46937-46938 46942-46943 46949 46958 46961 46963-46964 46974-46977 46979 46981-46982 46988 46990 46995 46998 47000 47010 47014 47017 47024 47034 47047 47049 47053 47059 47071 47073 47086 47088 47092 47094 47381 47426 47428-47429 47431 47433 47437-47439 47446-47448 47452-47454 47461 47463 47472-47473 47475 47484-47485 48128 48130-48132 48136-48137 48139 48142 48144 48149 48151 48154-48156 48161-48163 48167 48172 48176-48177 48179-48181 48184 48186-48187 48190-48193 48197 48200-48201 48207 48212 48217 48220 48228 48230 48234 48240 48242 48245 48249 48252 48256 48259-48260 48263 48274 48276-48277 48281 48284-48286 48309 48327 48329-48331 48334-48337 48339 48345 48350-48351 48353 48356 48370 48373-48374 48380-48382 48386 48390-48392 48394 48397 48401 48403 48411 48415 48417 48419 48428 48434-48435 48437 48441 48444 48454 48469 48472 48474 48480 48482-48483 48488 48493 48495-48496 48506 48508-48509 48511 48514 48525 48527 48529 48531 48540 48543 48546 48548 48550-48551 48553-48555 48563 48568 48573 48576-48578 48580 48583 48588 48592 48606 48609 48615 48617 48619-48620 48622-48623 48626-48629 48634 48637-48638 48725 48896-48897 48899-48901 48903 48912-48913 48917-48921 48924-48926 48961 48964 48967 48974-48976 48979 48981 48983 48985 48987 48991-48992 48997 49008 49010-49011 49013 49015 49020</spatial><spectral>1.9867573869263685e-19 3.916500758235022e-19</spectral><footprint ivo-id="ivo://ivoa.net/std/moc">https://cdsarc.cds.unistra.fr/viz-bin/moc/J/ApJ/939/96?format=ascii</footprint><waveband>Optical</waveband><waveband>Infrared</waveband></coverage><tableset><schema><name>default</name><table><name>J/ApJ/939/96/table1</name><description>Milky Way field giants in final sample; corrected version by the author</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Gaia</name><description>Gaia EDR3 identifier</description><ucd>meta.id;meta.main</ucd></column><column><name>Gmag</name><description>[9.6/13] Gaia EDR3 G-band magnitude</description><unit>mag</unit><ucd>phot.mag;em.opt</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>BP-RP</name><description>[1.3/5] Gaia EDR3 GBP-RBP color</description><unit>mag</unit><ucd>phot.color;em.opt.B;em.opt.R</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Imag</name><description>[8.6/11.7] Johnson-Cousins I magnitude from APASS (1)</description><unit>mag</unit><ucd>phot.mag;em.opt.I</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_Imag</name><description>[0.009/0.5] Dispersion in Imag</description><unit>mag</unit><ucd>stat.error;phot.mag;em.opt.I</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>omega</name><description>[0.046/0.5] Measured parallax (2)</description><unit>mas</unit><ucd>pos.parallax.trig</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_omega</name><description>[0.008/0.1] Parallax error</description><unit>mas</unit><ucd>stat.error;pos.parallax.trig</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>b</name><description>[0.58/1] Galactic latitude</description><unit>deg</unit><ucd>pos.galactic.lat</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>AImag</name><description>[0.005/1.5] I-band extinction (3)</description><unit>mag</unit><ucd>phys.absorption;em.opt.I</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_AImag</name><description>[0/0.17] Uncertainty in AImag</description><unit>mag</unit><ucd>stat.error;phys.absorption;em.opt.I</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>APASS</name><description>Display data from APASS DR9 (II/336) within 3"</description><ucd>meta.ref.url</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Simbad</name><description>Simbad column added by the CDS</description><ucd>meta.ref.url</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>_RA</name><description>Positions from Gaia DR3 (I/355), RAJ2000 and DEJ2000 (right ascension part)</description><unit>deg</unit><ucd>pos.eq.ra;meta.main</ucd></column><column><name>_DE</name><description>Positions from Gaia DR3 (I/355), RAJ2000 and DEJ2000 (declination part)</description><unit>deg</unit><ucd>pos.eq.dec;meta.main</ucd></column></table></schema></tableset></ri:Resource>