34 



U. S. COAST AND GEODETIC SURVEY. 



U)42 

 U)43 

 (4)44 

 U)45 

 U)46 

 U)47 

 U)48 

 (4)49 

 (A) 50 



(4)5, 

 (4)52 

 (4)53 

 (4)54 

 (4)55 

 (4)59 

 (4)57 

 (4)58 



(4)59 

 (4)60 

 (4)61 

 (4)62 

 (4)63 



+ 1/4 sin 2 X sin 2 7 {(1+3/2 e^) cos (x-ir/2)- 



+3/2 ecos (x+s-p-7r/2) 



+3/2 e cos (x-s+p-7r/2) 



+9/4 e^ cos (x+2s-2p-7r/2) 



+9/4 e^ cos (x-2s+2p-7r/2) 



+45/16 me cos (x+s -2;i+p-7r/2) 



+45/16 me cos (x-s+2;i-p-x/2) 



+3/2 7?i2 cos (x+2s-2/i-7r/2) 



+3/2 m^ cos (x-2s+2/i-7r/2)} 



+ 1/2 (1/2-3/2 sin2 X) sin^ I {(1-5/2 e^) cos 2. 



+7/2 e cos (2o-+s-p) 



— 1/2 e cos (2(r— s+p) 



+ 17/2 e2 cos (2o-+2s-2p) 



+ 105/16 vie cos (2o-+s -2/i+p) 



— 15/16 me cos (2o-— s+2/i — p) 



+23/8 TO^ cos (2(7+2s-2/i) 



+ 1/8 m^ cos {2a-2s+2h)) 



+ (1/2-3/2 sin^ X) (1/3-1/2 sin^ 7) {(1+3/2 e^). 



+3 e cos (s— p) 



+9/2 e^ cos (2s-2p) 



+45/8 me cos {s—lh+'p) 



+3 m^ cos (2s-2/i)}] 



0.3164) 

 0.0259) 

 0.0259) 

 0.0021) 

 0.0021) 

 0.0036) 

 0.0036) 

 0.0026) 

 0.0026) 



0.1356) ^'\ 



0.0263) 



0.0037) 



0.0035) 



0.0037) 



0.0005) 



0.0022) 



0.0001) 



0.4404) 

 0.0722) 

 0.0059) 

 0.0101) 

 0.0074) 



(97) y,r f 



Referring to section 4 and Figure 6, it will be noted that the lon- 

 gitude measured in the moon's orbit from the intersection A equals 

 the longitude measured from the referred equinox T ' less the dis- 

 tance ^, and that longitude measured in the Equator from the inter- 

 section A equals the longitude measured from the equinox T less the 

 distance v. 



In Figure 10, let *S" and P' be the points where the hour circles of 

 the mean sun and of the place of observations intersect the celestial 



Fig. 10. 



equator, and let T= the hour angle of the mean sun measured west- 

 ward from the meridian of the place of observations. It is evident 

 that the difference between the mean longitude of the sun and the 

 right ascension of the meridian of the place of observation when 

 reckoned from the same origin will be equal to the hour angle of the 



mean sun. 



