You're doing it wrong. Astrogators are more than just jump rollers.
Oh Shit! Captain! A patrol cruiser has just eclipsed from behind the moon and is on an intercept course! It's weapons appear to be powered.
Scenario 1 with computer astrogator. (Assume talking computer for ease of demonstration)
Captain: WTF! Computer, lay in a course to use the gas giant as slingshot to get us to 100 D in the quickest time possible.
Computer: There are 3000 known objects in this system. Please specify object-body parameters?
Captain: Pilot, aim at the closest fringe of the gas giant and hit it, Computer, closest 10 bodies.
Computer: Processing. Expected time 12 minutes.
Captain: Computer, closest 4 greatest mass bodies. Recalculate.
Computer: Processing. Expected time 2 minutes.
GM initiates negative initiative and or DM modifiers.
Etc.
And yes the 3 body problem increases exponentially

.
With an Astrogator.
Captain: WTF! Astrogator, lay in a course to use the gas giant as slingshot to get us to 100 D in the quickest time possible.
Astrogator: On it captain! *relays a preliminary 1 body problem straight to the pilot. Sets' to work on a 2 body problem, relays, set's to work on a quick and easy 3 body problem, then a 6 body problem, then starts lining up the ship for an accurate jump with a 20 body problem etc, until she's got a probability she's happy with.*
(With rolls and and DMs depending on range and urgency, rounds, how quick the players thought of the solution, etc.)
You see, the astrogator, just
knows the precision, he
knows when to massage the numbers, he
knows what's important and what's not. Most of the time, not necessary, some of the time very necessary.
