Is there an effective mathematical way to predict the orbit of a spaceship or planet?
This is, of course, assuming I have a few known parameters:
velocity of the object in the time $\tau$.
Velocity angle angle relative to the primary in time $\tau$.
Distance from the primary in time $\tau$.
the primary object mass.
Note: I do not mean by time $\tau$ here anything specific, I used it to note that these parameters describe the movement of the body at the time named “$\tau$”.