(a) Russell Eberst pointed out a typo in the line beginning "or",
replace "ln" by "log10" so that it reads:
or -12.7 - 23.77*log10(sin(0.5*L)) where log10 is base 10.
However
(b) Rich Keen has more accurate magnitude data than mine, from the
book "Astrophysical Quantities" by C.W. Allen, University of London.
Comparing to full moon:
L me book me-book
177 -0.02 0.05 -0.07
165 0.06 0.37 -0.31
124 1.26 1.51 -0.25
111 2.27 1.88 0.39
98 2.74 2.40 0.34
where the "me" column has been adjusted by the -0.28 from
my fit.
Since my observations had a standard deviation of 0.13, and the sd
of (me-book) is 0.29, I must have had some significant systematic
error - I dont know what. Experience shows my results are adequate
for sky brightness.
Doing an approximate fit to most of the book data we get:
L Mag Fit Mag-Fit
180 0.00 0.00 0.00
170 0.23 0.27 -0.04
160 0.51 0.53 -0.02
150 0.79 0.80 -0.01
140 1.06 1.07 -0.01
130 1.35 1.35 0.00
120 1.62 1.64 -0.02
110 1.91 1.94 -0.03
100 2.24 2.26 -0.02
90 2.63 2.61 0.02
80 3.04 3.00 0.04
70 3.48 3.43 0.05
60 3.93 3.91 0.02
50 4.44 4.44 -0.00
40 5.07 5.05 0.02
30 5.90 5.75 0.15 ) Not included in
20 7.50 6.53 0.97 ) the fit.
where the fit is
fit = 1.52 * L2 + .038 * L2 * L2 * L2 * L2
and L2 = abs(180-L)*0.01745 = longitude from full moon in radians.
I would recommend using the above function instead of the function
in my March 17th email.
Mike Waterman michael.waterman@gecm.com
Site Yateley = COSPAR 2115 = 51.3286N 0.7950W 75m.
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