WORKING NON-ADIABATIC EQUATIONS
53
The Working N on-Adiabatic Equations
(182) Pressure, log P x - log P 0 = (log T x - log T 0 ).
(183) Density, log Pl - log p 0 = (log T 1 - log T 0 ).
(184) Gas coefficient, log Pi — logP 0 = (n-1) (log T x - log T 0 ).
These equations were published in the Monthly Weather
Review, March, 1906, (38), (39), (40), and they have been
illustrated by numerous applications to balloon and kite ascen
sions with excellent results, up to great altitudes, as 20,000
meters. The following example shows the method of arranging
the computation so as to proceed from level to level, the com
puted Pi, pi, Pi of one becoming P 0 , p 0 , P 0 for that next above
it. The example is taken at random from our computations,
some of the results being compiled in Bulletin No. 3, Argentine
Meteorological Office, 1913. The constants are taken from
Table 3 in the (M. K. S.) system. The surface values of P 0 , P o,
P 0 , T 0 are assumed to conform to the adiabatic system, while Pi,
Pi, Pi, Pi above the surface are computed by the non-adiabatic
system.
At the height z = 116 meters the density is computed from
the adiabatic formula,
P
P ~ TRo
Also, P = go P m Po, where P 0 is in meters. It will be noted
that the check is complete. It may be stated that the ob
served values of P 0 at Lindenburg are usually about 1 mm.
higher than the computed values B c . This constitutes a cri
terion upon the adjustment of the aneroid, which, in ascending,
lags in registration and records a pressure corresponding to
a lower level than that assumed for the temperature T at the
height z.