 
 
 
     Wet zenith path delay of radio waves propagation through the neutral atmosphere
Zenith wet path delay in the neutral atmosphere has been computed at the global
grid 0.25° x 0.3125° grid using numerical weather model GEOS-57 developed
at the Global Modeling and Assimilation Office of the NASA GSFC.
Wet zenith delay is determined the following way. The refractivity index of wet
air at temperature T:  
n = k1 * Pd/T + k2 * Pw/T + k3 * Pw/T2
where Pd is the partial pressure of dry air and where Pw 
is the partial pressure of water vapor. Using equation of state, the formula can be 
rewritten as n = nd + nw, where 
nd = k1 * R/Md ρ,    and   
nw = (k2 - k1 Mw/Md) * Pw/T + 
k3 * Pw/T2. 
Here ρ is air density, R — universal
gas constants,  Mw and Md are molar mass of water vapor and dry air
respectively.
Then zenith path delay can be determined as 
  τw = ∫∞
0
(nw(h) - 1) dh, where integration is over the height
h along the plumb line from the surface to the top of the atmosphere.
 Time series of zenith path delay on a global grid for 2012 with 3 hourly
resolution
  The output of the numerical weather model GEOS-57 has been processed to 
determine Pw(h) and T(h) at nodes of 
0.25° x 0.3125° x 72 x 3h 4D grid. The zenith path delay
was determined by numerical integration of nw(h). Results of
integration in HEB-format are available for downloading
here (2920 files, 3.3Mb per epoch,
9.8 Gb/yr).
 The movie of changes in zenith path delay at a global grid over 2012
The time series of zenith wet path delay from GEOS-57 can be visualized
as a movie 
(4:52 duration, mpg format, 34MB).
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   This page was prepared by Leonid Petrov
   ( )
) 
    
    Last update: 2013.06.27_04:08:05