The Astronomical journal . , = ± cr, = 0.(146±U.(MI7 r2» = ± o-a = 0*.018± Adopting slightly rounded values we have finally, (52) T, = 2402327 +^ +55 sin* G = 317° -44° cos*/•, = + sin* /•, = cos* in which *= (,) 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. + cos *;\\ liiih varies between and in a period of Similarly we find from the variation of G thatthe annual period
The Astronomical journal . , = ± cr, = 0.(146±U.(MI7 r2» = ± o-a = 0*.018± Adopting slightly rounded values we have finally, (52) T, = 2402327 +^ +55 sin* G = 317° -44° cos*/•, = + sin* /•, = cos* in which *= (,) 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. + cos *;\\ liiih varies between and in a period of Similarly we find from the variation of G thatthe annual period varies between and , 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. Epochs, o o o ; left-hand arguments jfmpffltttles, . , ; rii//it-?>«/«//irf///// Computed, ; e&uaium (-7?) dktron Journal. \ N°- 322. THE ASTROXOMICAL JOURNAL. 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 = 1818 June 327^0 -35 L824 Apr. .170 .1 I.) -30 238 1830 Jan. .146 . 155 -25 1835 Nov. .118 .154 -20 3711.!) 1S41 Aug. .096 .147 -15 1847 June .085 .137 -10 1853 May .090 .126 — 5 1859 Apr. .108 .118 0 1865 .Mar. .135 .115 + 5 1871 Mar. .162 .US + 10 1S77 Feb. .180 .126 + 15 240 1882 Dec. .185 .137 +20 1888 Oct. .174 .1 17 + 25 1894 Aug-
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