I think you are using the correct projection library and settings.
( ) - eumetsat 3 .
, lon/lat x, y (-81 , 81 - , . eumetsat , http://www.eumetsat.int/):
import pyproj
sat = pyproj.Proj('+proj=geos +lon_0 +h=035785831.0 +x_0=0 +y_0=0')
x,y = sat( 81.299, 0, radians = False, errcheck = True)
print (x * 2.0 / 3712.0 ) / 1000.0
2.927, , eumetsat.
, (, ), x/y lat/lon . , .
, , . ). .