A few more notes about your ship and general environment.
The Planet that the Space station is orbiting is 1 AU from it's Sun, which is approximately 150,000,000 km and is equal to the distance from the Sun to Earth in our Solar System.
It takes approximately 1 hour for your ship to accelerate to it's maximum velocity of 0.07 C, and it will cover .25 AU in that time. 0.07C is approximately 0.5 AU per hour.
The Sun, the Planet and the L4 point form an equilateral triangle, which means each point is an equal distance from each other point.
The same is true for the Sun, the Planet and the L5 point.
Another thing I wanted to know for my adventure was,
what is the distance from the L4 point to the L5 point
Looking at one of several handy diagrams
Basically, if the distance of the biggest planet from it's sun is R, that becomes the hypotenuse of one right angle triangle where the angles are always going to be 60 and 30 degrees, (Draw a line between L4 and L5 on the diagram shown to get the triangles) and that will give me half of the length I want. Using the sin of 60 degrees as approx .866, the handy formula for calculating the distance becomes:
2*(.866*R).
So, for our particular Sun and Planet, the distance between the L4 point and the L5 point works out to be 1.772 AU
One thing at least some of your characters would know is that your ships maximum speed is that of military vessels, likewise for it's acceleration, so it is unlikely that another ship could out race you. Missiles on the other hand...
So, since the distance from the space station to the L5 point is 1 AU, it will take you one hour to get up to speed, in which time you cover 0.25 AU. Then you move at maximum velocity for another hour, that covers 0.5 AU. Then you need to decide, do you want to decelerate to basically a rest before you hit the L5 point and make a safer jump, which would take another hour, or do you continue at full speed, covering the final .25 AU in 30 minutes, but adding considerable to the danger of making the jump (plus having to dodge the asteroids at high speed)?
Just so you know what some of the modifiers are, it's a Space Pilot roll with these potiential modifiers:
Asteroid Field -60 (This is a thinner than usual one , so I'd probably make it -30)
Hyperspace insertion via Lagrange Point -20
Vehicle Acceleration (Nicholas, sould this be Velocity?)
0-25% of maximum +0
26 -50% of maximum -10
51 -75% of maximum -20
76 - 100% of maximum -40
Of course, you have two hours until you need to make that decision, assuming you are even heading for the L5 point, and who knows what else might happen in that time?
