Calculation of temperature correction for altimeter I try to calculate the correction of cold temperature for altimeter , i use for this the equation 24 of the Engineering Sciences Data Unit (ESDU) publication but it give me very high number .
if i take for example the given conditions
altitude of aircraft 1000 ft
0 ft for aerodrome altitude
t0 288 K
temperature deviation from the ISA = 259.9812
L0 = 0.001981
the result is 599777.4389 ft is too big , the expected result is 60 ft So where is mistakes ?

EDIT :
So i corrected the ISA dev according to what Ralph said but the result still incorrect i joint the step of calculation :

the expected result is 60 ft
Finaly i have found the answer the error is on all book that published the equation there is the true equation