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Stellar Luminosity Function, φ(M), Emission Function, E(M), and Star Density Md(V) (see below) |
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| M |
log φ(M) |
φ(M), % | E(M), % | Md(M), % | ||||||||
| pg | V | pg | V | pg | V | bol | V | |||||
| in mag | in pc-3 | in 10-4 pc-3 | in 10-6 (M=0) pc-3 |
10-4 Msun pc-3 |
||||||||
| < -6 | 3 0.55 | 1 0.15 | 20 1.3 | |||||||||
| -6 | -7.6 | -7.9 | 0.0002 0.000016 | 0.0001 0.0000076 | 6 1.1 | 3 0.45 | 30 2.1 | 0.005 0.0011 | ||||
| -5 | -6.9 | -7.2 | 0.0012 0.000096 | 0.0006 0.000046 | 13 2.4 | 6 0.90 | 80 5.5 | 0.02 0.0046 | ||||
| -4 | -6.37 | -6.54 | 0.0043 0.00034 | 0.0029 0.00022 | 17 3.1 | 11 1.6 | 110 7.6 | 0.06 0.014 | ||||
| -3 | -5.79 | -5.90 | 0.016 0.0013 | 0.013 0.00099 | 26 4.8 | 20 3.0 | 130 9.0 | 0.17 0.039 | ||||
| -2 | -5.23 | -5.28 | 0.06 0.0048 | 0.05 0.0038 | 37 6.9 | 33 4.9 | 150 10.4 | 0.5 0.11 | ||||
| -1 | -4.69 | -4.60 | 0.20 0.016 | 0.25 0.019 | 51 9.4 | 63 9.4 | 180 12.4 | 1.6 0.37 | ||||
| 0 | -4.13 | -3.95 | 1 0.080 | 1 0.076 | 74 13.7 | 112 16.7 | 230 15.9 | 4 0.92 | ||||
| 1 | -3.64 | -3.46 | 2 0.16 | 3 0.23 | 91 16.9 | 138 20.6 | 210 14.5 | 10 2.3 | ||||
| 2 | -3.30 | -3.20 | 5 0.40 | 6 0.46 | 79 14.6 | 100 14.9 | 110 7.6 | 12 2.7 | ||||
| 3 | -3.02 | -2.94 | 10 0.80 | 12 0.92 | 60 11.1 | 72 10.8 | 75 5.2 | 18 4.1 | ||||
| 4 | -2.81 | -2.72 | 15 1.2 | 19 1.5 | 39 7.2 | 48 7.2 | 50 3.5 | 23 5.3 | ||||
| 5 | -2.66 | -2.47 | 22 1.8 | 34 2.6 | 22 4.1 | 34 5.1 | 32 2.2 | 37 8.5 | ||||
| 6 | -2.53 | -2.37 | 30 2.4 | 42 3.2 | 12 2.2 | 17 2.5 | 18 1.2 | 38 8.7 | ||||
| 7 | -2.47 | -2.45 | 34 2.7 | 35 2.7 | 5 0.93 | 6 0.90 | 10 0.69 | 26 5.9 | ||||
| 8 | -2.39 | -2.38 | 41 3.3 | 42 3.2 | 3 0.55 | 3 0.45 | 6 0.41 | 26 5.9 | ||||
| 9 | -2.30 | -2.27 | 59 4.7 | 54 4.1 | 1 0.19 | 1 0.15 | 3 0.21 | 29 6.6 | ||||
| 10 | -2.19 | -2.11 | 65 5.2 | 78 6.0 | 1 0.19 | 1 0.15 | 2 0.14 | 34 7.8 | ||||
| 11 | -2.10 | -2.01 | 80 6.4 | 98 7.5 | 1 0.06 | 35 8.0 | ||||||
| 12 | -2.03 | -1.97 | 93 7.5 | 107 8.2 | 34 7.8 | |||||||
| 13 | -1.99 | -1.93 | 102 8.2 | 117 8.9 | 28 6.4 | |||||||
| 14 | -1.94 | -1.89 | 115 9.2 | 129 9.8 | 23 5.3 | |||||||
| 15 | -1.90 | -1.90 | 126 10.1 | 125 9.5 | 20 4.6 | |||||||
| 16 | -1.92 | -1.92 | 120 9.6 | 120 9.2 | 15 3.4 | |||||||
| 17 | -1.97 | -1.97 | 107 8.6 | 107 8.2 | 9 2.1 | |||||||
| 18 | -2.05 | -2.08 | 89 7.1 | 83 6.3 | 6 1.4 | |||||||
| 19 | -2.2 | -2.3 | 63 5.1 | 50 3.8 | 4 0.92 | |||||||
| 20 | -2.4 | -2.5 | 40 3.2 | 30 2.3 | 2 0.46 | |||||||
| 21 | -2.7 | -2.9 | 20 1.6 | 13 0.99 | 1 0.23 | |||||||
| 22 | -3.1 | -3.3 | 8 0.64 | 5 0.38 | 1 0.23 | |||||||
| Total | 1247 100 | 1310 100 | 540 100 | 669 100 | 1447 100 | 437 100 | ||||||
Luminosity function = φ(M) = number of stars per unit volume within the magnitude range M + ½ ↔ M - ½. The table gives also E, the stellar emission of light or radiation in number of zero absolute magnitude stars per unit volume; and Md the total star mass per unit volume in each magnitude range. The visual magnitude ranges have been used for the column E(bol) which expresses the number of Mbol = 0 stars per unit volume. φ(M), E, and Md all become doubtful for M > 17.
Note that stars more luminous than the sun in V (V < 4.8) constitute about 4% of all stars, contribute about 92% of the Galaxy's stellar V light and account for about 18% of the Galaxy's luminous stellar mass.