LJ-35 CREW LOST ALL NAV ABILITY DEPARTING TEB.

Narrative

DURING OUR DEP FROM TEB ARPT ON JAN/FRI/04; AS WE WERE INITIATING OUR TURN TO THE PNJ NDB AND CLBING TO 2000 FT; WE LOST OUR NAV EQUIP AND REF TOWARDS PNJ. NOT ONLY BOTH ADF'S WERE INOP; BUT AT THE SAME TIME OUR GPS LOST REF TO ITS ACTUAL POS DUE TO ELECTRICAL MALFUNCTION. ALL THIS HAPPENED EXTREMELY FAST DUE TO THE SHORT DISTANCE BTWN THE TKOF FROM TEB ARPT TO PNJ. WE WERE QUESTIONED ON WHY WE WERE AT 3000 FT BEFORE THE PNJ NDB; BUT WE IMMEDIATELY RESPONDED THAT WE WERE INDEED AT 2000 FT; NOT 3000 FT. (WHO KNOWS WHAT THE XPONDER WAS DOING AT THAT TIME.) AFTER STRUGGLING WITH COM #1; WHICH WE LOST COMPLETELY; AND HOLDING A HDG IN REF TO THE ARPT (JUST BECAUSE I'VE ONLY DONE THIS DEP ABOUT 100 TIMES SO I HAD AN IDEA TO WHAT HDG TO MAINTAIN UNTIL WE WERE INSTRUCTED TO INTERCEPT THE 350 DEG RADIAL FROM COL VOR INBOUND); WE WERE QUESTIONED IF WE WERE HAVING 'NAV PROBS.' MY RESPONSE WAS; 'I DON'T KNOW WHAT WE ARE HAVING; BUT SOMETHING IS GOING ON.' AFTER THOSE FIRST 5 MINS; WE WERE ABLE TO INITIALIZE THE BOX AND COMMUNICATE ON COM #2 WITHOUT ANY PROBS TILL PBI. CONVERSATIONS AND MANEUVERS WERE AT ALL TIMES SMOOTH AND UNDER CTL. WHEN QUESTIONED; DEP CTL WAS INDEED VERY HELPFUL AS ALWAYS; AS THEY COULD SEE WE WERE HAVING SOME TYPE OF NAV DIFFICULTY.