I'm creating a simulation for orbiting bodies with my primary challenge being calculating the true anomaly of a trajectory with respect to time. I have figured out circular, elliptical, and parabolic orbits, but i'm struggling with hyperbolic.
Everything I have found in my searches provides equations relating true anomaly v, to hyperbolic anomaly F, but nothing to determine F on its own.
The closest i've found to a solution is from this site. With the equation But deriving a solution was a little beyond me.
Can anyone help me find or derive the equations to calculate the true anomaly of a hyperbolic trajectory with respect to time? Thanks!