EartlCs No7tadiabatic Atmosphere. 521 



Radiation Function. 



= U 1 -U ^ Q,-Q Pn= T 10 (S,-S fl ) 



R 



(37) K 10 = ^^-° = ^-^ - P 10 == " v "' "" ; -P, 

 v—v B v-v n o-v„ 



R • P ' 



Exponent of the radiating function. 



(88) K ~ \%J- log T- log T. * 



It should be stated that the utmost care must be taken in 

 the computations to use the exact quantities indicated in the 

 formulas, and that having done so the numerous check compu- 

 tations are always fulfilled. Thus, there are three principal 

 checks : 



(1) The Boyle-Gay Lussac Law, P = pRT, 



(2) The gravity, g (z-z ) = - ^^ - £ ( ?1 2 -? a ) - (Q,-Q ) , 



PlO 



(3) The heat, Q-Q = (W,-W ) + (U -U ) , 



and these can be applied at the three important stages of the 

 computing. 



Application of the Formulas to Meteorological Data. 



The following balloon ascensions have been computed by 

 this method, and a brief summary of the results is added for 

 discussion : 



Lindenburg, . . .. April 27, 1909, latitude +52° by Assman. 

 May 5, 1909, . 

 May 6, 1909, 

 July 27, 1908, 

 Sept. 2, 1909, 



Mailand, Sept. 7, 1906, latitude +45° by Berson and 



Coyne. 



Atlantic Ocean, Sept. 25, 1907, latitude +35° by Teisserenc de 



Bort and Rotch. 

 Sept. 9, 1907, " +25°. 



Aug. 29, 1907, " +13°. 



July 29, 1907, " +13°. 

 June 19, 1906, " —2°. 



Victoria Nyanza, Aug. 30, Sept. 5, 1908, latitude 0° by Berson. 



