J/MNRAS/456/3757ivo://CDS.VizieR/J/MNRAS/456/3757doi:10.26093/cds/vizier.74563757CDSSeleznev A.F.2024-08-15T20:17:37Z2016-11-25T09:30:50ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.fropen-star-clustersastronomical-modelsgalaxy-classification-systemsSurface and spatial radial density profiles in open clusters are derived using a kernel estimator method. Formulae are obtained for the contribution of every star into the spatial density profile. The evaluation of spatial density profiles is tested against open-cluster models from N-body experiments with N=500. Surface density profiles are derived for seven open clusters (NGC 1502, 1960, 2287, 2516, 2682, 6819 and 6939) using Two-Micron All-Sky Survey data and for different limiting magnitudes. The selection of an optimal kernel half-width is discussed. It is shown that open-cluster radius estimates hardly depend on the kernel half-width. Hints of stellar mass segregation and structural features indicating cluster non-stationarity in the regular force field are found. A comparison with other investigations shows that the data on open-cluster sizes are often underestimated. The existence of an extended corona around the open cluster NGC 6939 was confirmed. A combined function composed of the King density profile for the cluster core and the uniform sphere for the cluster corona is shown to be a better approximation of the surface radial density profile.The King function alone does not reproduce surface density profiles of sample clusters properly. The number of stars, the cluster masses and the tidal radii in the Galactic gravitational field for the sample clusters are estimated. It is shown that NGC 6819 and 6939 are extended beyond their tidal surfaces.2016MNRAS.456.3757Shttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/MNRAS/456/3757CatalogResearchIsServedByTAP VizieR generic serviceIsServedByConesearch servicehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/MNRAS/456/3757https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/MNRAS/456/3757http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/MNRAS/456/3757https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/MNRAS/456/3757https://vizier.iucaa.in/viz-bin/votable?-source=J/MNRAS/456/3757http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/MNRAS/456/3757GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapCone search capability for table J/MNRAS/456/3757/table1 (Sample clusters)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/MNRAS/456/3757/table1?https://vizier.iucaa.in/viz-bin/conesearch/J/MNRAS/456/3757/table1?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/MNRAS/456/3757/table1?GETtext/xml+votable180.050000true61.760862.33790.0055555555555555566/3384 4298 14752 15595 20797 24510 37592https://cdsarc.cds.unistra.fr/viz-bin/moc/J/MNRAS/456/3757?format=asciiOpticaldefaultJ/MNRAS/456/3757/table3Data on surface density radial profiles for NGC 1960recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table4Data on surface density radial profiles for NGC 2287recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table5Data on surface density radial profiles for NGC 2516recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table1Sample clustersrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintClusterCluster namemeta.id;meta.maincharONameOther namemeta.idcharGLONGalactic longitudedegpos.galactic.lonGLATGalactic latitudedegpos.galactic.latE(B-V)Redenningmagphot.color.excessfloate_E(B-V)rms uncertainty on E(B-V)magstat.errorfloatMODDistance modulusmagphot.mag.distModfloate_MODrms uncertainty on MODmagstat.errorfloatDistDistancepcpos.distanceinte_Distrms uncertainty on Distpcstat.errorintlogAgeAgelog(yr)time.agefloate_logAgerms uncertainty on logAgelog(yr)stat.error;time.agefloathkernel half-widtharcminphys.angSizeintRfRadius of the field consideredarcminphys.angSize;obs.fieldintProfDisplay the surface density radial profilesmeta.ref.urlcharFileNameName of the table with data on surface density radial profilesmeta.id;phot.flux.density.sb;meta.tablecharSimbadSimbad column added by the CDSmeta.ref.urlchar_RA.icrsRight ascension (ICRS) (computed by VizieR, not part of the original data)degpos.eq.ranullableindexed_DE.icrsDeclination (ICRS) (computed by VizieR, not part of the original data)degpos.eq.decnullableindexedJ/MNRAS/456/3757/table9Stellar masses at the boundaries of magnitude intervals in the sample clustersrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintClusterCluster namemeta.id;meta.maincharONameOther namemeta.idcharJupMagnitude of the upper end of the cluster sequence in the CMDmagtime.end;stat.maxfloate_Juprms uncertainty on Jmagupmagstat.errorfloatM11Stellar mass at the boundaries of magnitude interval for J=11magsolMassphys.massfloate_M11rms uncertainty on M11solMassstat.errorfloatM12Stellar mass at the boundaries of magnitude interval for J=12magsolMassphys.massfloate_M12rms uncertainty on M12solMassstat.errorfloatM13Stellar mass at the boundaries of magnitude interval for J=13magsolMassphys.massfloate_M13rms uncertainty on M13solMassstat.errorfloatM14Stellar mass at the boundaries of magnitude interval for J=14magsolMassphys.massfloate_M14rms uncertainty on M14solMassstat.errorfloatM15Stellar mass at the boundaries of magnitude interval for J=15magsolMassphys.massfloate_M15rms uncertainty on M15solMassstat.errorfloatM16Stellar mass at the boundaries of magnitude interval for J=16magsolMassphys.massfloate_M16rms uncertainty on M16solMassstat.errorfloatJ/MNRAS/456/3757/table2Data on surface density radial profiles for NGC 1502recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table6Data on surface density radial profiles for NGC 2682recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table7Data on surface density radial profiles for NGC 6819recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table8Data on surface density radial profiles for NGC 6939recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintrDistance from the cluster centrearcminpos.angDistancefloatF11Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=11magsrc.densitydoublee_F11Lower boundary of the confidence interval at Jlim=11magstat.errordoubleE_F11Upper boundary of the confidence interval at Jlim=11magstat.error;stat.maxdoubleH11Surface density histogram with the bin width of 4 arcmin at Jlim=11magstat.fit.paramdoubleF12Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=12magsrc.densitydoublee_F12Lower boundary of the confidence interval at Jlim=12magstat.errordoubleE_F12Upper boundary of the confidence interval at Jlim=12magstat.error;stat.maxdoubleH12Surface density histogram with the bin width of 4 arcmin at Jlim=12magstat.fit.paramdoubleF13Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=13magsrc.densitydoublee_F13Lower boundary of the confidence interval at Jlim=13magstat.errordoubleE_F13Upper boundary of the confidence interval at Jlim=13magstat.error;stat.maxdoubleH13Surface density histogram with the bin width of 4 arcmin at Jlim=13magstat.fit.paramdoubleF14Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=14magsrc.densitydoublee_F14Lower boundary of the confidence interval at Jlim=14magstat.errordoubleE_F14Upper boundary of the confidence interval at Jlim=14magstat.error;stat.maxdoubleH14Surface density histogram with the bin width of 4 arcmin at Jlim=14magstat.fit.paramdoubleF15Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=15magsrc.densitydoublee_F15Lower boundary of the confidence interval at Jlim=15magstat.errordoubleE_F15Upper boundary of the confidence interval at Jlim=15magstat.error;stat.maxdoubleH15Surface density histogram with the bin width of 4 arcmin at Jlim=15magstat.fit.paramdoubleF16Kernel estimate of the surface density radial profile with the kernel half-width at Jlim=16magsrc.densitydoublee_F16Lower boundary of the confidence interval at Jlim=16magstat.errordoubleE_F16Upper boundary of the confidence interval at Jlim=16magstat.error;stat.maxdoubleH16Surface density histogram with the bin width of 4 arcmin at Jlim=16magstat.fit.paramdoubleJ/MNRAS/456/3757/table11Approximation of the surface density profiles of the sample clustersClusterCluster namemeta.id;meta.maincharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintJlimLimiting magnitude in J bandmagphot.magintRcVisual estimate of the cluster radiusarcminphys.angSize;em.opt.Vinte_Rcrms uncertainty on Rcarcminstat.errorintFbvisVisual estimate of the surface density of the stellar backgroundarcmin**-2phot.flux.density.sb;em.opt.Vfloate_Fbvisrms uncertainty on Fbvis the stellar backgroundarcmin**-2stat.errorfloatNEstimate of the cluster star numbermeta.numberinte_Nrms uncertainty on the estimate of the cluster star numberstat.errorintkKCk parameter for approximation by the combined model (King profile plus corona)arcmin**-2stat.fit.paramfloate_kKC? rms uncertainty on kKCarcmin**-2stat.errorfloatnullablercKCScale parameter for the cluster core radius for approximation by the combined model (King profile plus corona)arcmininstr.scalefloate_rcKCrms uncertainty on rcKCarcminstat.errorfloatrtKCCluster core radius for approximation by the combined model (King profile plus corona)arcminphys.angSizefloate_rtKCrms uncertainty on rtKCarcminstat.errorfloatFbKCSurface density of the stellar background for approximation by the combined model (King profile plus corona)arcmin**-2src.densityfloate_FbKCrms uncertainty on FbKCarcmin**-2stat.errordoubleR2KCCluster corona radius for approximation by the combined model (King profile plus corona)arcminphys.angSizefloate_R2KCrms uncertainty on R2KCarcminstat.errorfloatDensKCSpatial density of the corona for approximation by the combined model (King profile plus corona)0.001arcmin**-3phys.densitydoublee_DensKCrms uncertainty on DensKC0.001arcmin**-3stat.errordoublechi2KCChi-square parameter for approximation by the combined model (King profile plus corona)stat.fit.chi2doubleNmodKCCluster star number for approximation by the combined model (King profile plus corona)meta.numberintNcoroKCStar number of the cluster corona for approximation by the combined model (King profile plus corona)meta.numberintNcoreKCStar number of the cluster core for approximation by the combined model (King profile plus corona)meta.numberintkKk parameter for approximation by the King model (King profile)arcmin**-2stat.fit.paramfloate_kKrms uncertainty on kKarcmin**-2stat.errorfloatrcKCluster core radius for approximation by the King model (King profile)arcminphys.angSizefloate_rcKrms uncertainty on rcKarcminstat.errorfloatrtKTidal radius for approximation by the King model (King profile)arcminphys.angSizefloate_rtKrms uncertainty on rtKarcminstat.errorfloatFbKSurface density of the stellar background for approximation by the King model (King profile)arcmin**-2src.densityfloate_FbKrms uncertainty on FbKarcmin**-2stat.errorfloatchi2KChi-square parameter for approximation by the King model (King profile)stat.fit.chi2doubleNmodKCluster star number for approximation by the King model (King profile)meta.numberint