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<ri:Resource created="2025-04-14T08:59:35Z" status="active" updated="2025-06-13T15:25:00Z" 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">2025-06-02T20:10:40Z</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. 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31346 31350 31353 31358-31359 31362 31368-31369 31371 31373-31375 31384-31386 31388-31390 31392 31394 31397 31399 31401-31404 31407 31410-31411 31413 31416-31417 31419 31421 31432-31433 31436-31438 31444-31446 31448 31450 31452-31453 31456-31457 31460 31462-31463 31465-31467 31469 31471 31477-31478 31482-31483 31485-31487 31522 31529-31532 31534-31535 31547 31617 31620-31621 31628-31629 31631-31632 31637-31640 31642-31643 31649-31650 31652 31660 31668-31669 31671 31673 31675-31676 31678-31679 31683 31686 31689 31691-31694 31710-31712 31715-31716 31718-31721 31723-31725 31728 31736-31737 31739 31741 31743 32416-32418 32423 32427-32429 32440-32441 32443 32446-32447 32876 32879 32888-32889 32893 32895 32902 32906-32907 32914 32920-32921 32924 32926 32929-32934 32943-32945 32947-32949 32957 32959 32961 32965-32966 32970 32973-32974 32976 32978 32981 32994 32997-32998 33006 33012-33014 33021-33022 33064 33068 33074 33085 33123 33130 33133-33134 33148-33149 33151 33153 33158 33160 33165 33167-33168 33175-33176 33178 33180 33185 33187-33188 33194-33195 33197 33201 33208 33212-33213 33219-33220 33225-33228 33230-33231 33233 33237 33241 33243 33249 33257-33260 33262-33263 33271 33273-33274 33279-33282 33286-33287 33289-33290 33296-33297 33304-33306 33308 33310 33313 33324-33326 33328-33330 33332 33334 33336-33337 33340 33342 33344 33346 33349 33354 33357 33359 33362 33364-33365 33367 33369 33374-33375 33381 33385-33386 33394 33396 33401-33402 33404-33405 33409 33418-33419 33421 33426 33431 33434 33441 33443 33452-33453 33459 33462 33464 33472 33485-33487 33503-33504 33506 33519 33523 33528 33538-33539 33546-33547 33551 33556 33560 33565 33569 33578 33580 33583-33586 33589 33604 33609-33610 33619 33625-33626 33635 33642 33657 33668 33675 33679 33682 33694 33704-33705 33709 33712 33718 33725 33735 33740 33747-33749 33751 33753 33761 33765 33767 33780-33781 33834 33837 33839 33848 33897-33899 33901 33914-33915 33918-33919 33921 33924-33925 33927 33936-33937 33942 33945-33946 33955 33968 33973 33980 33984 34005-34006 34008 34010 34013-34014 34016 34019 34024 34034 34038 34044 34176 34179-34180 34196 34198 34214 34221 34224 34226 34231 34272 34275 34281-34282 34287 34312 34319 34324 34327 34332 34334 34343 34346 34352 34354 34375 34384 34388 34400 34402 34409 34418 34420 34433 34437 34450 34473 34504 34508 34510 34520 34528 34541-34542 34544 34548 34562 34572-34573 34580 34585-34586 34599 34602-34606 34609 34611-34612 34614 34626 34629 34657 34663 34669 34678 34680 34682 34689 34694 34697 34701 34710 34723 34746 34749 34758-34759 34769 34773 34776 34779 34785 34793-34794 34805 34812-34813 34815 34824-34825 34830-34831 34834 34842 34846 34856 34859 34867 34870-34871 34874 34879 34881-34882 34884 34896-34897 34901 34908-34909 34916 34919-34920 34926 34938 34947 34955-34956 34960 34963 34972 34985 35001 35004 35007 35018 35023 35026 35037 35049 35104 35106 35115 35118 35147 35150 35152 35161 35165 35171 35173 35176 35202 35204 35222 35226 35237-35238 35241 35249 35254 35257-35258 35261 35288-35289 35300 35322-35323 35325 35348 35353 35361 35363 35365 35371 35408 35426 35434 35441 35445 35463 35479 35486 35504 35513 35516 35550 35559 35565 35570-35571 35574 35581 35590-35592 35596 35602 35607-35608 35615 35626 35648 35666 35671 35676 35679 35686 35688 35690 35701-35702 35707 35710 35714 35726 35731 35736-35737 35751 35757 35769 35780 35797 35802 35806 35849 35858 35862 35885 35892 35897-35898 35903 35909 35914 35923 35947 35950 35953 35964 35966 35980 35994 36002 36010 36034 36049 36061 36068-36069 36078 36084 36112 36120-36121 36144 36160 36184 36189 36191 36202 36211 36213 36215 36234 36237 36239 36245 36251 36265 36271 36277 36282 36303 36324 36336 36353 36360 36365-36366 36373 36405 36418 36437-36438 36450 36459-36460 36465-36466 36474-36475 36503 36522 36524-36525 36556 36563-36564 36575 36593 36597 36601 36604 36612 36632 36637 36663 36668 36671 36699 36705 36707 36726 36740 36747 36792 36794 36800 36808 36825 36828 36843 36849 36856 43959 43963-43965 43981 43987 43989-43990 43992 43994 43996-43997 43999 44001 44003 44005-44006 44009 44014 44016 44018-44022 44028-44029 44031 44585-44586 44589-44591 44595 44601-44602 44604-44605 44622 44634-44636 44638-44639 44641 44648 44652 44654-44655 44658-44661 44663 44666-44667 44669-44671 44674 44682 44684-44685 44687-44690 44692 44694-44696 44698-44700 44702 44707 44710 44714 44716 44728-44730 44732-44733 44739-44740 44742-44743 44745 44747-44748 44750 44753-44755 44759 44764-44765 44768 44773-44775 44777 44781 44786-44787 44791 44793-44796 44798-44799 44807-44809 44811-44812 44818 44822 44824-44825 44827-44828 44832-44834 44838 44840 44842 44847-44849 44851 44855-44858 44862-44863 44866-44867 44873-44877 44879 44890-44893 44895 44897-44899 44904 44908 44910-44911 44913-44915 44918-44921 44924-44925 44930 44933 44935-44937 44939-44940 44943-44944 44947 44954-44955 44957-44959 44966-44967 44977-44978 44980 44984-44985 44988 44990 44993-44994 45000 45002 45007 45010 45023 45025 45027 45029 45031 45034 45036 45038-45039 45041-45043 45046-45047 45049-45050 45054 45135 45140-45141 45143-45144 45147-45150 45168 45170-45171 45174-45175 45177 45180 45264-45265 45270 45277-45278 45297 45300 45302-45303 45309-45314 45316-45318 45321 45323 45326-45327 45336 45339 45343 45349-45354 45356-45357 45359-45361 45364 45370-45371 45373-45374 45377 45379 45382-45383 45386 45388-45389 45391 45393-45394 45396 45401-45402 45404 45408 45410 45417 45422-45424 45430 45436 45439 45441 45443 45445 45448-45450 45453-45455 45460 45462-45463 45466-45467 45470 45473-45478 45480 45482 45485 45489 45492 45494 45497 45499 45501 45504-45505 45512-45513 45515 45520 45523 45526 45528 45531 45537-45538 45540 45545 45551 45553 45561 45653 45661 45825-45826 45828 45833 45835-45836 45839-45840 45843-45844 45846-45848 45850 45852-45853 45855 45860-45862 45867-45870 45876 45878-45881 45883-45884 45887-45890 45894-45895 45898-45899 45901 45906 45909-45910 45919 45923 45927 45929 45931 45933 45935 45937 45939 45942 45944-45945 45947-45948 45950 45956 45965 45969 45973-45974 45981-45983 46000 46004 46012 46014-46015 46020-46021 46023 46025 46028-46029 46031-46032 46036-46037 46039-46040 46045 46052 46054-46055 46057-46058 46062 46065-46067 46069 46072-46074 46079 46081 46103 46106 46108 46112 46114 46118 46121 46124-46126 46129 46131 46135 46151 46153-46154 46157 46166 46175 46178 46183 46188-46189 46191-46192 46194 46196 46200 46206 46209 46211 46217-46218 46220 46222 46225 46233 46235 46248 46250 46252 46254-46255 46263 46266 46268 46271 46277-46279 46282 46289 46293 46303 46312 46316 46319-46320 46336-46337 46341 46347 46357 46360 46367 46372-46373 46375 46380 46382 46384 46391 46393 46398 46404 46407-46408 46410 46419 46441-46442 46451 46454 46467 46476 46484 46496 46502 46504 46513 46517 46529 46533 46537 46539-46540 46545 46547 46561 46570 46572 46588-46589 46592 46600 46605-46608 46611 46613-46615 46619-46620 46622-46623 46626 46628 46633 46636 46638 46641-46642 46644 46646 46648-46650 46652 46654 46658-46659 46665 46668 46675-46677 46686-46687 46690-46691 46696 46698-46699 46707-46708 46716 46720-46721 46723-46726 46729-46730 46732 46734 46736 46743-46744 46746-46747 46749 46752-46754 46761-46762 46764-46765 46769 46774 46778 46783 46787 46791-46792 46794 46796-46797 46799 46804 46807-46810 46814-46815 46819-46820 46823 46827 46830-46831 46833 46838 46840-46842 46851 46854 46863-46864 46866 46869 46872 46874-46875 46878 46886 46893 46896 46910 46916 46918 46920-46921 46924-46925 46930 46934 46937-46938 46942-46943 46949 46958 46960-46961 46963-46964 46969 46974-46977 46979 46981-46982 46988 46990 46995 46998 47000 47010 47017 47021 47024 47034 47039 47047 47049 47051 47053 47059 47067 47071 47073 47080 47086 47088-47089 47092 47094 47103 47381 47426 47428-47429 47431 47437-47438 47441-47446 47448 47452-47453 47455 47472-47473 47477 48128-48129 48131 48133 48140 48142 48144 48146-48147 48149-48151 48153-48154 48159 48161-48162 48166 48168 48170-48172 48174 48176 48178-48179 48181-48182 48190-48192 48196 48198-48199 48202 48211 48218 48220 48222 48225-48227 48229 48231 48240-48241 48244-48246 48248 48250 48256 48259-48260 48263 48274 48276-48277 48279 48281 48284-48286 48309 48327 48329-48331 48334-48335 48337 48339 48341 48343 48350-48351 48353 48356 48368 48380-48382 48386 48390-48392 48394 48397-48398 48400-48401 48403 48411 48413 48415 48417 48419 48429-48430 48434-48435 48437-48438 48441 48444 48454-48455 48459 48469 48472 48474-48475 48480 48482-48483 48485-48486 48488 48493 48495-48496 48505-48509 48511 48514 48520 48524-48525 48527 48529 48531 48534 48536 48540 48543 48545-48548 48550-48551 48560 48563 48565 48567-48568 48573 48580 48582-48583 48588 48591-48592 48596 48606 48609-48610 48615-48617 48619-48620 48622-48623 48626-48630 48634 48637-48638 48896-48897 48899 48913-48915 48920-48921 48924-48926 48961 48963-48964 48967 48974-48976 48978-48979 48981 48983 48985 48987-48988 48990-48993 48997 48999 49008 49010-49011 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; updated version by the author</description><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>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>[9.8/13] 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>[1.3/6] 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>[0.009/0.4] 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>[0/0.12] 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>_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>