1999MNRAS.309..481L

Query : 1999MNRAS.309..481L

1999MNRAS.309..481L - Mon. Not. R. Astron. Soc., 309, 481-495 (1999/October-3)

The specific entropy of elliptical galaxies: an explanation for profile-shape distance indicators?.

LIMA NETO G.B., GERBAL D. and MARQUEZ I.

Abstract (from CDS):

Dynamical systems in equilibrium have a stationary entropy; we suggest that elliptical galaxies, as stellar systems in a stage of quasi-equilibrium, may have in principle a unique specific entropy. This uniqueness, a priori unknown, should be reflected in correlations between the fundamental parameters describing the mass (light) distribution in galaxies. Following recent photometrical work on elliptical galaxies by Caon et al., Graham & Colless and Prugniel & Simien (1997A&A...321..111P), we use the Sérsic law to describe the light profile and an analytical approximation to its three-dimensional deprojection. The specific entropy is then calculated, supposing that the galaxy behaves as a spherical, isotropic, one-component system in hydrostatic equilibrium, obeying the ideal-gas equations of state. We predict a relation between the three parameters of the Sérsic law linked to the specific entropy, defining a surface in the parameter space, an `Entropic Plane', by analogy with the well-known Fundamental Plane. We have analysed elliptical galaxies in two rich clusters of galaxies (Coma and ABCG 85) and a group of galaxies (associated with NGC 4839, near Coma). We show that, for a given cluster, the galaxies follow closely a relation predicted by the constant specific entropy hypothesis with a typical dispersion (one standard deviation) of 9.5per cent around the mean value of the specific entropy. Moreover, assuming that the specific entropy is also the same for galaxies of different clusters, we are able to derive relative distances between Coma, ABGC 85, and the group of NGC 4839. If the errors are due only to the determination of the specific entropy (about 10per cent), then the error in the relative distance determination should be less than 20per cent for rich clusters. We suggest that the unique specific entropy may provide a physical explanation for the distance indicators based on the Sérsic profile put forward by Young & Currie and recently discussed by Binggeli & Jerjen.

Abstract Copyright: 1999, Royal Astronomical Society

Journal keyword(s): galaxies: clusters: individual: Coma - galaxies: clusters: individual: Abell 85 - galaxies: distances and redshifts - galaxies: elliptical and lenticular, cD - galaxies: fundamental parameters - distance scale

Simbad objects: 109

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Number of rows : 109
N Identifier Otype ICRS (J2000)
RA 		ICRS (J2000)
DEC 		Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026 		#notes
1 LEDA 2800496 GiC 00 41 21.7420992336 -09 19 43.038666516     17.81     ~ 10 0
2 LEDA 2800498 GiC 00 41 22.6122076296 -09 18 34.616523708     18.06     ~ 10 0
3 [SRM2001] ACO 85 D rG 00 41 30.4716858864 -09 21 32.645266344   16.55 17.48     ~ 17 0
4 LEDA 93193 GiC 00 41 30.9857357376 -09 17 54.021309432     18.00     ~ 11 0
5 LEDA 93196 rG 00 41 31.9255844664 -09 20 02.356582524   16.61 15.95 15.43   ~ 13 0
6 2MASXI J0041348-092150 Sy2 00 41 34.8906723768 -09 21 50.547420468   16.61 15.99 15.29   ~ 25 0
7 ACO 85 ClG 00 41 36.21 -09 19 30.4           ~ 974 0
8 2MASX J00413620-0919299 GiC 00 41 36.2149233072 -09 19 30.326118564   17.41 17.15     ~ 15 0
9 2MASX J00413944-0924519 GiC 00 41 39.4312283088 -09 24 52.456705668   17.66 17.08     ~ 15 0
10 2MASX J00413964-0927309 GiC 00 41 39.6301357920 -09 27 31.235162040   17.60 16.78     ~ 17 0
11 SDSS J004140.76-091631.6 GiC 00 41 40.7698997760 -09 16 31.684528668     18.04     ~ 8 0
12 6dFGS gJ004141.3-091857 GiC 00 41 41.3146716768 -09 18 57.176692992   15.86 16.12     ~ 18 0
13 SDSS J004142.47-092125.8 GiC 00 41 42.47305 -09 21 25.8467     18.19     ~ 10 0
14 SDSS J004143.56-092530.4 GiC 00 41 43.5626853624 -09 25 30.452796336     18.00     ~ 12 0
15 LEDA 93217 GiC 00 41 44.8012897440 -09 20 17.400547248   16.95 17.66     ~ 11 0
16 [CZ2003] 85A-1294 13 GiC 00 41 45.76 -09 26 35.1     18.35     ~ 7 0
17 APMUKS (BJ) B003914.14-094511.5 GiC 00 41 45.9418400568 -09 28 44.295930156     18.81     ~ 8 0
18 2MASX J00414681-0923129 GiC 00 41 46.7949754872 -09 23 12.869542752     16.81 15.86   ~ 15 0
19 2MASX J00414809-0927299 GiC 00 41 48.0765378696 -09 27 30.361635684     17.60     ~ 12 0
20 FIRST J004148.2-091702 rG 00 41 48.2308999032 -09 17 03.269185620   17.02 16.09     ~ 42 0
21 LEDA 2800535 GiC 00 41 50.8067111856 -09 13 45.756288480     17.79     ~ 9 0
22 LEDA 93229 GiC 00 41 52.5 -09 21 30     17.62     ~ 9 0
23 SDSS J004156.34-092256.6 GiC 00 41 56.3441352600 -09 22 56.634062952     18.12     ~ 8 0
24 2MASX J00420326-0928161 GiC 00 42 03.2713577256 -09 28 15.815001036   17.10 17.33     ~ 13 0
25 SDSS J004207.62-092835.5 GiC 00 42 07.6203510288 -09 28 35.498636364     17.84 16.39   ~ 10 0
26 SDSS J004211.75-092732.7 GiC 00 42 11.7547371984 -09 27 32.797767456     18.12     ~ 8 0
27 LEDA 2800564 GiC 00 42 13.4265399216 -09 22 16.876590132     18.37     ~ 5 0
28 2MASX J00421732-0928481 GiC 00 42 17.2722440328 -09 28 47.855956944     17.00     ~ 10 0
29 2MASX J00421921-0923161 GiC 00 42 19.2024024528 -09 23 15.791336556   17.74 17.31     ~ 13 0
30 LEDA 2800573 GiC 00 42 20.2726680480 -09 22 02.036935308     18.54     ~ 6 0
31 LEDA 83675 G 12 57 04.310 +27 31 32.85   17.44 16.12 15.87 15.74 ~ 34 0
32 Z 160-37 GiG 12 57 09.4184229096 +27 27 59.137216200   15.0       ~ 84 0
33 LEDA 126876 GiC 12 57 23.56737 +27 32 59.7621     17.03 16.82   ~ 22 0
34 NGC 4839 BiC 12 57 24.3563164776 +27 29 52.203087132 13.56 13.02 12.06     ~ 482 3
35 Z 160-40 LIN 12 57 25.8391398984 +27 32 46.177668564   15.3       ~ 53 0
36 2MASX J12573058+2732348 GiC 12 57 30.5916594048 +27 32 34.964349792   18.21 17.03 16.77   ~ 19 0
37 NGC 4842A LIN 12 57 35.8534614792 +27 29 35.689996896   14.9       ~ 87 0
38 NGC 4842B LIN 12 57 36.1334483592 +27 29 05.381539332   16.30 15.46 15.15   ~ 57 1
39 LEDA 126855 GiC 12 57 43.2322002864 +27 34 39.414517356           ~ 22 0
40 Z 160-65 GiG 12 58 30.2081987472 +28 00 53.079578820 15.30 15.0 13.88     ~ 96 0
41 2MASX J12583190+2802587 GiC 12 58 31.9141731072 +28 02 58.611181200 17.02 17.24 15.75 15.31 14.98 ~ 44 0
42 2MASX J12583671+2750576 GiC 12 58 36.7598192688 +27 50 58.128003456     16.72 16.35   ~ 26 0
43 2MASX J12583899+2757136 GiC 12 58 38.9569781544 +27 57 13.904228124 17.87 17.19 16.08 15.73   ~ 29 0
44 2MASX J12585523+2757529 GiC 12 58 55.2555720768 +27 57 52.976652984 16.78 16.505 15.39 15.01 14.264 ~ 82 0
45 LEDA 126809 GiC 12 58 59.47813 +27 56 04.2694 18.37 18.23 16.75 16.40 16.11 ~ 29 0
46 NGC 4860 GiG 12 59 03.9057463440 +28 07 25.326557148 14.84 14.7 13.24     ~ 157 0
47 2MASX J12590414+2757329 GiC 12 59 04.1588288328 +27 57 32.935155624 17.739 17.33 16.42 15.74 15.35 ~ 56 0
48 2MASX J12590459+2754389 GiC 12 59 04.6397847984 +27 54 39.532051296 16.84 16.836 15.46 15.34 14.652 ~ 60 0
49 SDSS J125905.94+280228.8 G 12 59 05.944 +28 02 28.81 20.69   19.76 18.57 18.7 ~ 16 0
50 IC 3960 AGN 12 59 07.9458606024 +27 51 17.892495432 15.96 15.5 14.47 14.233 13.516 ~ 103 1
51 LEDA 126800 G 12 59 11.5550609088 +28 00 33.405609060 18.34 18.12 16.76 16.43 16.03 ~ 36 0
52 NGC 4864 GiG 12 59 13.129 +27 58 36.91 15.338 14.8 13.872 13.321 12.594 ~ 136 0
53 Z 160-A14 GiC 12 59 13.9260998280 +28 04 34.492645668 16.20 15.731 14.89 14.484 13.602 ~ 57 0
54 NGC 4867 GiG 12 59 15.2505719952 +27 58 14.616353712 15.60 15.5 14.14 13.969 13.213 ~ 129 0
55 LEDA 1822852 GiC 12 59 19.71516 +27 58 24.5874 18.57 18.677 17.13 16.81 16.686 ~ 32 0
56 NGC 4865 EmG 12 59 19.8737739096 +28 05 03.488821044 15.06 14.6 13.692 13.131 12.443 ~ 115 0
57 2MASX J12592016+2753098 GiC 12 59 20.1719431200 +27 53 09.554536464 16.59 16.657 15.38 15.07 14.591 ~ 89 0
58 2MASX J12592022+2804278 GiC 12 59 20.2009258968 +28 04 27.474050280 17.817 17.487 15.94 15.63 15.431 ~ 37 0
59 2MASX J12592136+2758248 GiC 12 59 21.4151965488 +27 58 24.866619600 17.67 17.608 16.12 16.09 15.57 ~ 42 0
60 2MASX J12592265+2753488 GiC 12 59 22.6199737728 +27 53 48.734841408 16.66 16.504 15.33 14.972 14.39 ~ 67 0
61 NGC 4869 EmG 12 59 23.3588349024 +27 54 41.731884360 15.03 14.9 13.52 13.292 12.536 ~ 286 0
62 2MASX J12592529+2758048 GiC 12 59 25.3302921888 +27 58 04.567089792 16.97 17.055 15.59 15.541 14.863 ~ 67 0
63 2MASX J12592536+2756038 GiC 12 59 25.3390430424 +27 56 04.172369748 18.08 18.094 17.02 16.73 16.12 ~ 32 0
64 LEDA 44609 EmG 12 59 28.4615191671 +28 05 07.395197002 17.274 17.074 15.56 15.22 15.177 ~ 39 0
65 IC 3976 G 12 59 29.4017977320 +27 51 00.507145788 15.93 15.5 14.42 14.212 13.495 ~ 111 0
66 NGC 4871 LIN 12 59 29.9631023208 +27 57 23.169658968 15.59 15.1 14.07 13.801 13.113 ~ 121 0
67 IC 3973 AG? 12 59 30.8230953864 +27 53 03.142254372 15.50 15.2 14.03 13.802 13.114 ~ 112 0
68 NGC 4873 EmG 12 59 32.7956813376 +27 59 01.023698256 15.53 15.4 14.36 14.24 13.224 ~ 125 0
69 NGC 4872 AGN 12 59 34.1212116072 +27 56 48.678716616 15.58 14.7 14.10 14.092 13.423 ~ 141 0
70 SDSS J125934.40+275942.8 G 12 59 34.403 +27 59 42.89     19.94 19.68 19.9 ~ 11 0
71 LEDA 1821898 GiC 12 59 35.180 +27 56 05.00 18.974 18.894 18.055 17.607 17.065 ~ 23 0
72 NGC 4874 LIN 12 59 35.7093764280 +27 57 33.293892204 13.01 13.7 12.71 12.27 11.386 ~ 814 3
73 LEDA 126788 G 12 59 37.0110665016 +28 01 06.974523876 19.09 18.99 17.66 17.31 16.98 ~ 27 0
74 LEDA 44634 EmG 12 59 37.4884659408 +28 09 58.056596712     16.32 15.96   ~ 44 0
75 NGC 4875 GiC 12 59 37.9093929384 +27 54 26.400242232 16.03 15.92 14.57 14.322 13.605 ~ 99 0
76 LEDA 44636 G 12 59 38.3213456016 +27 59 13.953200280 17.19 17.13 15.89 15.59 15.002 ~ 66 0
77 LEDA 44644 G 12 59 39.6590757624 +27 57 14.115321252 16.97 16.99 15.59 15.41 14.99 ~ 75 0
78 Z 160-233 G 12 59 42.3031814928 +27 55 29.073263772 17.64 16.553 15.42 15.051 14.373 ~ 99 0
79 LEDA 44656 G 12 59 43.7289109656 +27 59 40.858551456 16.53 16.384 15.15 14.832 14.154 ~ 96 0
80 LEDA 44652 G 12 59 44.2059500952 +27 57 30.335521572 16.94 16.982 15.65 15.41 14.881 ~ 63 0
81 NGC 4876 LIN 12 59 44.4043327032 +27 54 44.883805032 15.61 15.1 14.18 13.992 13.333 ~ 154 0
82 ACO 1656 ClG 12 59 44.40 +27 54 44.9           ~ 5141 2
83 IC 3998 G 12 59 46.7810952336 +27 58 25.887811872 16.07 15.909 14.61 14.341 13.605 ~ 97 0
84 2MASS J12594779+2805520 AG? 12 59 47.79624 +28 05 52.0440     17.63 17.33   ~ 15 0
85 2MASX J12595013+2755292 GiC 12 59 50.1055153776 +27 55 29.458708536 17.63 17.563 16.05 16.01 15.402 ~ 44 0
86 2MASX J12595104+2749592 GiC 12 59 51.0010585920 +27 49 58.622962188 17.65 17.78 16.29 16.03 15.769 ~ 44 0
87 2MASX J12595178+2805542 GiC 12 59 51.7662967464 +28 05 54.694778604 18.15   16.63 16.27   ~ 23 0
88 2MASX J12595511+2807422 GiC 12 59 55.0983190896 +28 07 42.060679572 16.70 15 15.33     ~ 86 0
89 NGC 4883 GiG 12 59 56.0172515304 +28 02 04.976091780 15.76 15.2 14.27 13.872 13.165 ~ 110 0
90 2MASX J12595760+2803543 GiC 12 59 57.607 +28 03 54.32 17.97 17.914 16.59 16.27 15.891 ~ 40 0
91 2MASX J13000425+2809182 GiC 13 00 04.246 +28 09 18.39   18.12 16.65 16.25   ~ 34 0
92 NGC 4886 EmG 13 00 04.4494334064 +27 59 15.306472032 15.595 15.1 14.294 13.712 13.092 ~ 134 0
93 LEDA 44707 AG? 13 00 05.3994110544 +28 01 28.005793932 17.03 17.106 15.42 15.02 15.09 ~ 58 0
94 IC 4011 G 13 00 06.3940488048 +28 00 14.849196120 16.37 16.207 15.05 14.661 14.002 ~ 120 0
95 IC 4012 G 13 00 07.9959855216 +28 04 42.812545800 16.09 15.948 14.64 14.362 13.655 ~ 124 0
96 NGC 4889 EmG 13 00 08.097 +27 58 37.29 12.93 13.0 11.30 11.652 10.906 ~ 742 1
97 2MASX J13000871+2809352 GiC 13 00 08.7349755912 +28 09 35.457921144 17.56   15.86 15.42   ~ 32 0
98 Z 160-243 AGN 13 00 09.1410758256 +27 51 59.343513912 16.418 16.39 15.51 15.34 14.835 ~ 133 0
99 2MASX J13001027+2751502 GiC 13 00 10.2369786504 +27 51 50.292433224 17.39 17.103 15.54 15.11 15.169 ~ 42 0
100 LEDA 126764 G 13 00 11.1464834832 +28 03 54.824309496 18.29 18.181 16.72 16.36 16.149 ~ 40 0
101 IC 4021 LIN 13 00 14.7492904032 +28 02 28.679693064 16.12 15.974 14.75 14.451 13.783 ~ 125 0
102 2MASX J13001702+2803502 GiC 13 00 17.0317499136 +28 03 50.085089820 16.89 16.855 15.52 15.321 14.643 ~ 70 0
103 NGC 4898A GiC 13 00 17.6793071808 +27 57 18.945906156 15.252 15.0 13.862 13.32 12.574 ~ 59 0
104 NGC 4898B GiC 13 00 18.0983806416 +27 57 23.732971884 15.7 15.284 14.333 13.771 13.093 ~ 47 0
105 LEDA 126759 AG? 13 00 18.8857734576 +28 00 33.525438120 18.56 18.301 17.36 16.831 16.22 ~ 31 0
106 CAIRNS J130019.76+275413.2 GiC 13 00 19.778 +27 54 13.37     18.80 18.61   ~ 8 0
107 2MASX J13002014+2750365 GiC 13 00 20.170 +27 50 36.62 18.14 18.139 16.41 16.05 16.129 ~ 34 0
108 LEDA 126758 EmG 13 00 21.6698381208 +27 53 54.785936292 18.39 18.205 16.81 16.57 16.171 ~ 36 0
109 IC 4026 EmG 13 00 22.1409893328 +28 02 49.238219148 15.99 15.5 14.63 14.202 13.553 ~ 104 0

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