Looking for a formula concerning artificial satellite eclipses

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alain.figer@club-internet.fr

Hi all, 

Where may I find (who can provide me with) a ready-to-use formula giving :
 . for any terrestrial site and at any time, 
. the altitude of the Earth shadow as a function of a satellite position in the sky (height, azimuth ; or else, R.A. declination) ?
If possible, accounting also for penumbra-umbra would help.

Thanks in advance
Alain Figer
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