OCEAN TEMPERATURES 347 



half range of radiation at the standard latitude to the gradient of 

 the half range of the radiation is not quite consistent with the ratio 

 of the half range of temperature at that latitude to its gradient. 



It seemed best to take the average of the two values and to apply 

 corrections to a^ and a 2 , making them agree with the temperature 

 data; then the difference between the corrected values a\ and a' 2 and 

 the original values will indicate the magnitude of this discrepancy 

 between temperature data and solar radiation data. Accordingly 



B=: 



x x Wj 



and 



1/2 (.1302 -f .2688) = .1995 = fc^ = .20. (34) 



From equations (24) and (25) the new values a\ and a' 2 of a x 

 and a 2 are 



and 



- 3.35 V4+ -3.35 (g5) 



O.9 



Substituting these numerical valuations in equation (22) and deter- 

 mining 3 from the observed surface temperature 21?3 when x equals 

 we have, expressing the angle in degrees 



M_ (.318 .0166*0 cr^y-v 



[COS (30t e) 1] 



V 

 . 



274 + .04 



' | 1T .c (37 ) 



V-274 + .04 

 where 



tan c=: 2.62 , W * . (38) 



g-bl(j/-3) 



For the surface temperature, put y = 6 and we have 



, = 5.9 (-.318 -.0166.) _ 6 _ 72i _5.9(.0166). 



.DO .DO 



(39) 

 + 17.95 = (3.35 + . 175oO cos (30^ 69) + 21.30 .72a;. 



