DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 162

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 162

[table sideways]
[column 1]
No.
----------
1
2
3
4
5
6
7
8
9
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[column 2]
AM
LOG.
----------
2.01964
0.73127
0.86517
1.63587
2.05538
2.29290
2.50673
2.73122
2.96401
MEAN
98° 14' 54.31"
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[column 3]
AM
No.
----------
104.63"
5.38
7.33
43.23
113.60
[strikethrough]196.29[/strikethrough]
321.17
538.54
920.50
-256.79"
-256.79"
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[column 4]
BN
LOG.
----------
9.28090
6.87270
6.87270
8.42900
9.28090
9.82690
0.25300
0.68960
1.15120
MEAN + 
+ 2.65"
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[column 5]
BN
No.
----------
0.19"
0.00
0.00
0.02
0.19
[strikethrough]0.67[/strikethrough]
1.79
4.89
14.16
2.65
=
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[column 6]
h[subscript]0[/subscript] = h - Am + Bn
----------
98° 10' 49.56"
      10   38.62
      10   61.67
      10   40.79
      10   35.59
      [strikethrough]9   53.38[/strikethrough]
      10   24.62
      10   45.35
      10   25.16
98° 10' 40.17"
98° 10' 40.17" CHECK
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[column 7]
V
----------
+9.39
-1.55
-4.58
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-15.55
+5.18
-15.01
73.37
[+v]
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[column 8]
PROBABLE ERROR, ETC..
----------
A = 0.52976
B = 1.9021
{-36.69
{+36.68
cos φ 9.873307 (+)
cos δ 9.809440 (+)
------------------------
9.682747 (+)
9.152987 (n) sin(φ - δ)
------------------------
log A = 0.529760 (n)
1.059520 (+) log A[superscript]2[/superscript]
0.842576 (n) cot(φ - δ)
------------------------
log B = 1.902096 (n)      n = 8[μ?] = 1
r = +-0.845(73.37"/(square root of 56)) = +- 8.285"
(square root of 8) = 2.828 .
Prob. error of mean = 
     +- 2.929"
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STAR - [r?] Ursae Majoris    DATE - May 30, '93

[/table sideways]

Saving...

[table sideways] [column 1] No. ---------- 1 2 3 4 5 6 7 8 9 [blank] [blank] [blank] [blank] [blank] [blank] [column 2] AM LOG. ---------- 2.01964 0.73127 0.86517 1.63587 2.05538 2.29290 2.50673 2.73122 2.96401 MEAN 98° 14' 54.31" [blank] [blank] [blank] [blank] [column 3] AM No. ---------- 104.63" 5.38 7.33 43.23 113.60 [strikethrough]196.29[/strikethrough] 321.17 538.54 920.50 -256.79" -256.79" [blank] [blank] [blank] [blank] [column 4] BN LOG. ---------- 9.28090 6.87270 6.87270 8.42900 9.28090 9.82690 0.25300 0.68960 1.15120 MEAN + + 2.65" [blank] [blank] [blank] [blank] [column 5] BN No. ---------- 0.19" 0.00 0.00 0.02 0.19 [strikethrough]0.67[/strikethrough] 1.79 4.89 14.16 2.65 = [blank] [blank] [blank] [blank] [column 6] h[subscript]0[/subscript] = h - Am + Bn ---------- 98° 10' 49.56" 10 38.62 10 61.67 10 40.79 10 35.59 [strikethrough]9 53.38[/strikethrough] 10 24.62 10 45.35 10 25.16 98° 10' 40.17" 98° 10' 40.17" CHECK [blank] [blank] [blank] [blank] [column 7] V ---------- +9.39 -1.55 -4.58 [blank] -15.55 +5.18 -15.01 73.37 [+v] [blank] [blank] [blank] [blank] [blank] [blank] [column 8] PROBABLE ERROR, ETC.. ---------- A = 0.52976 B = 1.9021 {-36.69 {+36.68 cos φ 9.873307 (+) cos δ 9.809440 (+) ------------------------ 9.682747 (+) 9.152987 (n) sin(φ - δ) ------------------------ log A = 0.529760 (n) 1.059520 (+) log A[superscript]2[/superscript] 0.842576 (n) cot(φ - δ) ------------------------ log B = 1.902096 (n) n = 8[μ?] = 1 r = +-0.845(73.37"/(square root of 56)) = +- 8.285" (square root of 8) = 2.828 . Prob. error of mean = +- 2.929" [blank] [blank] [blank] STAR - [r?] Ursae Majoris DATE - May 30, '93 [/table sideways]