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The Cygnus OA-7 Mission was launched on April 18, 2017 to the International Space Station (ISS)...

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

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