Expansions for Hyperbolic Orbit

A hyperbolic orbit is expanded in terms of F analogous to the eccentric anomaly of an elliptical orbit: ${\tau}^p\;sinq{\upsilon}\;and\;{\tau}^p\;cosq{\upsilon}$ are expressed in terms of F. The true anomaly ${\upsilon}$ is expressed in terms of F, and F in terms of ${\upsilon}$.