I have some thoughts about extending your existing application.
Given that we have 'probes' exiting the solar system and we now understand the magnitude of the vast distances between the sun and the nearest stars:
1 - using as many planetary or solar sling-shot passes as necessary what is the optimum path to obtain the fastest possible exit speed from the solar system whilst maintaining human-sustainable g-force?
2 - using as many stellar sling-shot passes as necessary what is the optimum path to obtain the fastest possible arrival at the nearest galaxy whilst maintaining human-sustainable g-force?
Parameters to be defined by some science would be initial mass and acceleration.
Constraints may be excessive time to exit solar system.
Assumptions might be deployment of solar sails between stellar objects or use of lunar based laser acceleration providing some acceleration.
Controls might be aligning solar objects and interstellar objects into artificial planes and alignments.
There are lots of data sheets about the mass and trajectory of solar and interstellar objects now so this should be possible.
The problem space suggests spatial and time variations of the locations of solar and stellar objects as well as attempting to arrive at a simplex optimal solution.
Alternatively, take the average size and estimated mass of an asteroid from the solar debris field, given the fastest possible path that it might leave the solar system, what are the motive properties of inter-stellar missiles that our future space-travellers have to look out for?
(Another old theory for inter-stellar travel was to carve out a large asteroid for living space, use the unwanted mass for a mass-drive and propel it out of the solar system)
Just looking to put some science behind the epics of SciFi
/ed - in StarTrek (..and in EVE, I just discovered..) they call it AstrometricsSince we are going to go there sooner or later we should figure out how to do it - ed/
NASA might even fund something like that
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