In november 2013 nasa launched the maven mars atmosphere

Question

In November 2013, NASA launched the MAVEN (Mars Atmosphere and Volatile EvolutionN) mission to study the atmosphere of Mars. On September 22, 2014, the MAVEN spacecraft experienced its closest approach of Mars. Prior to performing a maneuver to capture into the Martian system, the spacecraft's closest approach on this date can be characterized by the following position and velocity magnitudes relative to Mars:

 

Altitude at periapsis=409 km

Velocity magnitude at periapsis=4.92 km/s

Determine the following characteristics of the arrival hyperbola:

E(Specific energy), a (semi-major axis), r_p (radius of periapsis), r_a (radius of apoapsis), e (eccentricity), b (aim point), h (specific angular momentum), θ^* (true anomaly), Period, δ (Fly-by angle), θ^*∞(true anomaly at infinity)