2000A&A...362..851L


Query : 2000A&A...362..851L

2000A&A...362..851L - Astronomy and Astrophysics, volume 362, 851-864 (2000/10-3)

Fitting planes to early-type galaxies: MIST for the determination of the fundamental plane.

LA BARBERA F., BUSARELLO G. and CAPACCIOLI M.

Abstract (from CDS):

The present study deals with the problem of deriving the coefficients of the fundamental plane (FP) of early-type galaxies. We introduce statistical models of the FP and relative fitting methods: the MIST (Measurement errors and Intrinsic Scatter Three dimensional) fits. The MIST fits account for the measurement errors on the variables and their correlations as well as for the intrinsic scatter. We show that the lack of a model of the intrinsic scatter of the FP is the origin of the systematic differences between the various fitting methods. We also address the problem of estimating the uncertainties of the FP coefficients and determine a simple relation between the sample size and the expected accuracy of the coefficients. The present study leads to define a `minimum sample size' for a correct estimate of the uncertainties. For N≲30, both theoretical formulae and re-sampling techniques, like the bootstrap, do not give reliable estimates. The question of the `universality' of the FP is addressed by applying the MIST fits to ten samples of cluster galaxies. The FP slopes are actually consistent between the different samples, but, due to the large uncertainties, they could also hide significant systematic differences. The feasibility of the measurement of the possible variations of the FP slopes as a function of redshift is also proved.

Abstract Copyright:

Journal keyword(s): galaxies: fundamental parameters - methods: statistical - galaxies: clusters: general

Simbad objects: 10

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Number of rows : 10
N Identifier Otype ICRS (J2000)
RA
ICRS (J2000)
DEC
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2022
#notes
1 NAME PSC CL ClG 00 58 25.0 +30 39 11           ~ 127 1
2 ACO 194 ClG 01 26 01.3 -01 22 02           ~ 340 2
3 CAN 16 ClG 02 30.2 +23 09           ~ 12 1
4 ACO 426 ClG 03 19 47.2 +41 30 47           ~ 2093 1
5 ACO 539 ClG 05 16 35.1 +06 27 14           ~ 246 2
6 ACO 3381 ClG 06 09.9 -33 36           ~ 75 2
7 NAME Hydra I Cluster ClG 10 36 36.0 -27 31 04           ~ 805 1
8 ACO S 639 ClG 10 40 33 -46 11.7           ~ 28 0
9 ACO 1656 ClG 12 59 48.7 +27 58 50           ~ 4501 2
10 ACO S 753 ClG 14 03 35.9 -33 59 16           ~ 83 1

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2022.05.24-01:33:39

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