DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 143

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 143

Clock Correction.     May 5, '93.

Stars   
104.  ε Boo"tis   R.A. 14[n?] 40[m?] 20.02s.

105.  β Ursae    14   51   7.43

106.  48 Cephei (H) S.P. 15  6 38.58 .

Equations.

(104) - 51.72 = Δt + 0.28a + 1.13c.

(105) - 50.76 = Δt - 2.05a + 3.77c.

(106) - 54.80 = Δt + 3.99a + 4.69c.



(104) - 51.72 = [math cancels]Δt[/math cancels] + 0.28a + 1.13c.

(105) - 50.76 = [math cancels]Δt[/math cancels] - 2.05a + 3.77c.
         +               -                +       
          - 
------------------------------------
(1) - 0.96 = 2.33a - 2.64c



(106) - 54.80 = [math cancels]Δt[/math cancels] + 3.99a - 4.69c.

(105) + 50.76 = [math cancels]Δt[/math cancels] - 2.05a + 3.77c
         +               -                +       
          - 
------------------------------------
(2) - 4.04 = 6.04a + 8.46c.

(2) -5.7984 = +(  )a - 15.9456c
      -9.4132 = +(   )a - 19.7118c
      +              -         +
-------------------------------------
        3.6148  +             3.7662c

c=0.96s

Substituting in (1) a = 0.6757s

Δt = -52.9939s = -53.00s .

Saving...

Clock Correction. May 5, '93. Stars 104. ε Boo"tis R.A. 14[n?] 40[m?] 20.02s. 105. β Ursae 14 51 7.43 106. 48 Cephei (H) S.P. 15 6 38.58 . Equations. (104) - 51.72 = Δt + 0.28a + 1.13c. (105) - 50.76 = Δt - 2.05a + 3.77c. (106) - 54.80 = Δt + 3.99a + 4.69c. (104) - 51.72 = [math cancels]Δt[/math cancels] + 0.28a + 1.13c. (105) - 50.76 = [math cancels]Δt[/math cancels] - 2.05a + 3.77c. + - + - ------------------------------------ (1) - 0.96 = 2.33a - 2.64c (106) - 54.80 = [math cancels]Δt[/math cancels] + 3.99a - 4.69c. (105) + 50.76 = [math cancels]Δt[/math cancels] - 2.05a + 3.77c + - + - ------------------------------------ (2) - 4.04 = 6.04a + 8.46c. (2) -5.7984 = +( )a - 15.9456c -9.4132 = +( )a - 19.7118c + - + ------------------------------------- 3.6148 + 3.7662c c=0.96s Substituting in (1) a = 0.6757s Δt = -52.9939s = -53.00s .