206 MEMOIRS NATIONAL ACADEMY OF SCIENCES, VOL. X, NO. 7. 



DIRECTIONS FOR COMPUTING THE PERTURBATION adz, S log r=log (1 + v), and 6/3. 



The perturbations ndz, 3 log r, and u/cos i are each of the form 



-i a ( sin ig + I t b t cos ig + cT 



Hence the following directions apply alike to each of the three components: 



Let t be the epoch of the mean anomaly g , and let t be the date for which the perturba- 

 tions are to be computed. Let g' be Jupiter's mean anomaly at the date. Let g be the planet's 

 undisturbed mean anomaly at the date. For the date t take g' and g from tables A and I, 

 respectively. To form the argument g of the perturbations in Tables II-IV, apply to Table I 

 the correction An=n — h . (See p. 203.) 



Form as many multiples of the corrected g as there are subscripts i in the tables of a t and b it 

 Tables II-IV. 



Express T=t — t„ in Julian years and decimals thereof. 



With argument g' take a t and b it the coefficients of the periodic terms, from Tables II-IV, 



With argument g take the secular terms c from Table V. 



By means of the Traverse Tables B form the periodic terms: 



a t sin ig and a t cos ig 



Form the secular terms c(t — t ) =cT. 



Sum the periodic terms and the secular terms for each component. 



Compute djJ = -„ „ - 



cos i 

 The disturbed mean anomaly is 



M= nz = g + ndz. 



EXAMPLE. 



As an example for the use of the tables of this group of eight planets, the perturbations 

 of (179) lUytaemnestra will be computed for 1907, September 26.5, Berlin mean time. 



