[mmaimcal] table correction
Bryan Butler
bbutler at aoc.nrao.edu
Mon Feb 22 10:27:22 EST 1999
all,
i had a bug in my program which calculated flux density vs. z & J.
harvey caught it right away... this bug _does not_ affect the
numbers for max z vs. transition given number of antennas and antenna
diameter (i.e., doesn't affect the generic relationship between
array area & z_max) because those came out of a different program.
anyway, the proper text + tables should have read:
where fCO'cold and fCO'hot are interpolated from harvey's calculated
numbers. then, choosing fcold, you can simply calculate the expected
flux density as a function of transition and z. for fcold = 0.9, which
might be a good number for the milky way, this comes out as:
z=.2 1 2 3 4 5
1-0 1.126 0.050 0.014 0.006 0.004 0.003
2-1 4.380 0.213 0.060 0.029 0.017 0.012
3-2 7.242 0.380 0.115 0.058 0.036 0.025
4-3 8.294 0.452 0.148 0.079 0.051 0.036
5-4 10.771 0.569 0.180 0.096 0.062 0.045
6-5 14.675 0.759 0.236 0.124 0.079 0.055
7-6 16.999 0.902 0.286 0.151 0.097 0.068
8-7 17.611 0.937 0.301 0.161 0.105 0.075
for fcold = 0.0, and L'co = 5e9 (maybe a more typical ULIRG?), you get:
z=.2 1 2 3 4 5
1-0 11.560 0.583 0.174 0.087 0.053 0.036
2-1 61.353 3.152 0.952 0.478 0.294 0.200
3-2 130.864 6.823 2.086 1.058 0.652 0.446
4-3 216.661 11.404 3.535 1.810 1.125 0.773
5-4 313.494 16.587 5.203 2.693 1.686 1.166
6-5 414.122 21.970 6.957 3.639 2.299 1.601
7-6 503.514 26.750 8.533 4.508 2.876 2.018
8-7 527.544 28.059 9.022 4.832 3.132 2.234
this last table has entries which seem a bit high, so maybe i don't
have the right combination of region types for the excitation
model...
-bryan
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