The Zachit Mission string begins on outpost Zachit when you have a dangerous combat rating.
You will be given a bounty hunting mission (very simple, just go out and kill a named CW) then return and get 150k and have access to similiar missions:
Escort Convoy-1:
Pay: 150k (thousand)
Description:
Escort a convoy of 3-6 couriers, freighters, or bulk freighters (Usually a mix)from Outpost Zachit to any other miranu world.
Renegade threat:
None (beyond normal marauders)
Escort Convoy-2
Pay:200k
Description:
Escort convoy of 3-6 couriers, freighters, or bulk freighters from Outpost Zachit to any other miranu world.
Renegade threat:
Yes.
Extermination-1
Pay: 150k
Description:
Locate renegade warship (CW) within 1 jump of Outpost Zachit. 3 crescent fighter escort.
NOTE: Crescent fighters do not actually become escorts, but merely follow you where you go.
Extermination-2
Pay: 200k
Description:
Locate renegade warship (CW) somewhere in the north tip (a.k.a.- North of Outpost Zachit and west of Zidagar territory). 5 crescent fighter escort
NOTE: See above note.
Mass Extermination.
Pay: Either 250k or 300k I don't remember.
Description:
Locate fleet (6) of renegade warships (CW) within 1 just of outpost Zachit. Escort: I don't remember, not enough anyway.
Once you work you way up to a deadly rating, and have already finished the intro mission, you'll be given a string of missions involving the Miranu Gunship and the destruction of the Rock.
Just do what the missions say and Good Luck. 
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-TheDarkDragon
Who am I? I am the darkness which lies within your soul. I lie between Good and Evil. I am the Dark Dragon Within. Fear Me.
Always capitalize Dragon, or you'll find yourself as a pile of ash.