Identifier: astronomicaljour13dudluoft (find matches)
Title: The Astronomical journal
Year: 1849 (1840s)
Authors: Dudley Observatory American Astronomical Society American Institute of Physics
Subjects: Astronomy
Publisher: New York (etc.) American Institute of Physics (etc.)
Contributing Library: Gerstein - University of Toronto
Digitizing Sponsor: University of Toronto

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, = 44.2 ±3.0 cr, = 0.(146±U.(MI7 r2» = 0.136±O.0O7 o-a = 0*.018±0.009 Adopting slightly rounded values we have finally, (52) T, = 2402327 +428.6^ +55 sin* G = 317° -44° cos*/•, = 0.135 +0.05 sin* /•, = 0.135 -0.02 cos* in which *= (,-1865.25) 5°.48 or (f-2402327) 0°.015according as wTe express t in years or Julian days. From the expression for T, we get the value of the periodof the 428d-term, according to this law. 428.6 + 5d.26 cos *;\\ liiih varies between 423d.3 and 433d.9 in a period of 65.9years. Similarly we find from the variation of G thatthe annual period varies between 361d.O and 3691.5, in thesame time. We thus have a complete numerical theory for the con-stants in the general latitude-formula, <p - cr,, = - /-, cos (1+(t— Tx) $1 - ;•., cos (;. + © - (?) which will satisfy the observations during three-quarters It/(<«(///ies ofCbeffkienis i//£(i/c of Latitude Variafim. 1830 1840 ^Ay- da// 7erm 1850 I860 1870 1880 1890 2+37 2382 2327 2272
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Epochs, o o o ; left-hand arguments jfmpffltttles, . . , ; rii//it-?>«/«//irf/////te/if.s Computed, ; e&uaium (-7?) dktron Journal. \d.J2Z. N°- 322. THE ASTROXOMICAL JOURNAL. 7.1 of a century. The values computed from eq. (52) are givenin a table below, and the resulting curves are also tracedon the chart. Elements of Latitude-Variation,Computed from Eq. (52). E Ti n G n -40 2385236.5= = 1818 June 15.5 0.184 327^0 0.140 -35 7364.7 L824 Apr. 12.7 .170 348.2 .1 I.) -30 238 94S1.ii 1830 Jan. 28.0 .146 359.9 . 155 -25 2391593.6 1835 Nov. 10.6 .118 358.5 .154 -20 3711.!) 1S41 Aug. 28.9 .096 344.3 .147 -15 5843.3 1847 June 30.3 .085 321.8 .137 -10 239.7991.5 1853 May 17.5 .090 297.9 .126 — 5 2400154.7 1859 Apr. 19.7 .108 279.7 .118 0 2327.0 1865 .Mar. 31.0 .135 273.0 .115 + 5 4499.3 1871 Mar. 12.3 .162 279.7 .US + 10 6662.5 1S77 Feb. 11.5 .180 297.9 .126 + 15 240 8810.7 1882 Dec. 30.7 .185 321.8 .137 +20 2410942.1 1888 Oct. 31.1 .174 344.3 .1 17 + 25 3060.5 1894 Aug- 19.5 .152 3

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