Astronomical and Meteorological Observations Made at the Radcliffe Observatory, Oxford Volume 33

Astronomical and Meteorological Observations Made at the Radcliffe Observatory, Oxford Volume 33

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 edition. Excerpt: ... deducing this formula from the correct equation Sin I = Q-, Sui 'Sin A' Cos (8 A)-Cos ' Sin (5 A)' by the substitution for 8 of the well-known value, it has been assumed, first, that Cos A' may be substituted without error Coe(A-5-A) for, and secondly, that unity may be used, instead of I--for Cos (0 ) in the expansion of Sin ( '--8 ). The sum of the errors arising from neglected quantities will amount at the maximum to rather more than "-; but, that absolute accuracy may be arrived at, I have tabulated the effects. It will be found by expansion that the error of the substitution of Cos(a'--a) Cos h' for i_ will be Co. J 1-9-0498 X Sin'A'Cot'A'CoseoA', and the following table gives the values of the correction to be applied to the computed value of: --The effect of the omission of the second term in the expansion of Cos (8 ') is +$8/4(8 )' Sin'i," to be applied to the computed values of bh. It is tabulated as follows: --I have, however, done away with the necessity for the use of the first of these tables by computing, for small intervals of and ' (for the mean value of P), very approximate values of bh, by which means the value of '---j-can be obtained immediately with sufficient accuracy. bh having been computed, h = h'--bh is found, as also a, the R. A. of the geocentric position of the corresponding point, by means of the right ascension of the zenith. Then 0 is computed by the formula Sin 8 -p Sin P' Sin '--Cos ifi Cos(A + ) Tani(-= Cot'_ 1 where The values of the corrections derived from these formulte, for mean parallax.57', are given in the following tables. TABLE...
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Product details

  • Paperback | 28 pages
  • 189 x 246 x 2mm | 68g
  • United States
  • English
  • black & white illustrations
  • 1236873459
  • 9781236873453