In: Physics
The Cygnus OA-7 Mission was launched on April 18, 2017 to the International Space Station (ISS) to deliver supplies. The ISS is at a 409 altitude circular orbit. The resupply spacecraft performed the following mission (not exactly but good for this problem):
- launched into a 210 by 298 km altitude elliptical orbit and completed 1 orbit.
- performed a Hohmann transfer from the apoapsis of the insertion orbit to the 409 km altitude ISS orbit
- circularized at the 409 km altitude
- μ of Earth is 398600 km3/sec2 and radius of Earth is 6378.0 km.
Compute the periapsis and apoapsis velocities of the Hohmann transfer orbit.
a. Vp = sqrt(mu*(2/rp -1/a)) 7.631887529 km/sec
Va = sqrt{mu*(2/ra-1/a)} 7.758780805 km/sec
b. Vp = sqrt{mu*(2/rp-1/a)} 7.758780805 km/sec
Va = sqrt(mu*(2/ra -1/a)] 7.631887529 km/sec
c. Vp = sqrt(mu*(2/rp -1/a)) 7.893317539 km/sec
Va = sqrt{mu*(2/ra-1/a)} 7.958780805 km/sec
d. Vp = sqrt(mu*(2/rp -1/a)) 7.331487529 km/sec
Va = sqrt{mu*(2/ra-1/a)} 7.158780805 km/sec