and on Astronomical Refractions. 497 



The following table shows the constitution of the atmosphere 

 with this system of constants. It should be recollected that in cal- 

 culating this table, as well as those in p. 278 and p. 280, the law of 

 Mariotte and Gay Lussac, 



p = kg(\ +«0), 



is implicitly supposed to hold good at very low temperatures, which 

 is to a certain extent conjectural. For this reason, and for the 

 reason that we have not at present sufficient data for determining 

 with great precision the constants y and E } it is not intended to 

 attach precision to the temperatures, densities and pressures given 

 in the following table for the altitudes beyond 5 miles. The fol- 

 lowing example will serve to show how the table was calculated : 



Calculation of the Pressure, Temperature, and Density for the 

 height of 10 miles. 



log 10 = 1-0000000 

 log a = 3*5974758 in 



miles 



i = 7*8546929 

 log M = 9-6377843 



7-4025242 



8-2169086 



•002526 

 7*4025242 

 )02526 = 0-0011364 



•152925 

 9*8470750 = log (1 - H 

 •703194 

 •296806 = Hq 



7*4013878 

 8-2169086 



9-1844792 



\ogHq= 9-4725517 

 log H = 9*7354232 



log (l-q) =9-6571324 



9-7371285 

 •54592 = q 

 •45408 = 1 — q 



9-6571324 

 3 



9-3142648 

 9-8470750 



8-9713972 

 1-4771213 



9-1613398 0*4485185 

 q = -14499 p = 2-81 



r = [1-2201080] - ] ~ -448° 



1-2201080 

 \ogp = 0-4485185 



1-6686265 

 \ogg = 9-1613398 



2-5072867 

 321-6 

 448-0 



- 126-4 



Phil. Mag. S. 3. Vol. 17. Supplement, No. 113. Jan. 1841. 2 K 



