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**** BASH**

#!/bin/bash
from=$1
i=1
while [ "$isFeb" = "" ] || [ "$is29" = "" ]
do
isFeb=`date -d "${from} ${i} days" | grep Feb`
is29=`date -d "${from} ${i} days" +%Y-%m-%d | grep "\-29"`
((i++))
done
((i--))
date -d "${from} ${i} days" +%A

Thanks Peter.. Highly golfed Version

i=1;until [ `date -d"$1 $i days" +%m-%d` = "02-29" ];do((i++));done
date -d "${1} ${i} days" +%A

SAMPLE I/O

:~/aman>./29Feb.sh 0001-01-01
Sunday
:~/aman>./29Feb.sh 1899-12-03
Monday
:~/aman>./29Feb.sh 1970-01-01
Tuesday