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Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac Volume 5

Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac Volume 5


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 Excerpt: ...i--.0005 i'--.1250 i" K cos (N U)--K' sin(Ndr U) Cv t where we put, for brevity, Mi=----2 + " i or the ratio of the mass of the planet to the sum of the masses of the Earth and Moon. Integrating these equations, and putting, as bofore, r, the quotient of the Moon's mean motion by the coefficient of the time in the angle NU, we have Sw--ixial, y.0112 i--.0146'+.0037" Ksin (N U) + K' cos (N U) e$ez=.ixx(? v--.0005 i--.5257 i'-j-.0000 i" Ksin (NdbU) + K' cos (N U) (no) ySy = /Liii3 y--.0005 i--.0005 i'--.1250" Ksin (NT U) + K' cos (N U) There can be no terms corresponding to the case of N U=: o, because U contains neither e, Jt, nor 9, and therefore in this case N can contain neither e, ?r, nor 9, and therefore i, i', and i" will all be zero, so that the coefficient of the angle will vanish. A. p.--Vol. v, PT. Ill 8 These expressions do not apply to the case of N U=o, since v will then become lite. In this case i, i', i" all vanish, as al reduce to constants. Integration then gives de infinite. In this case i, i', i" all vanish, as already shown, and the values of, etc., it r The position of the axis of x being entirely arbitrary we may suppose all the longitudes to be counted from the solar perigee. This will be effected by putting 7r'--o, which will give /'=, /. Thus, x, y, z, etc., will be expressed in terms of the four varying angles the three quantities /, ?r, and 9 representing the mean longitude of the Moon, and the longitudes of its perigee and node, all counted from the solar perigee, and// the mean anomaly of the Sun or of the Earth. We.shall first give the development of x, y, and z, retaining the solar perigee, it so that the axis of X remains arbitrary. The firs...


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Product Details
  • ISBN-13: 9781130438727
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 62
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1130438724
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 127 gr


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