Orbital plane change: A satellite is launched due east from the Kennedy Space Ce

Question

Orbital plane change: A satellite is launched due east from the Kennedy Space Center (latitude 28.60). Following orbit insertion and a circularizing second burn (no plane change), the satellite is in a circular orbit with an altitude of 380 km.                                           

(a) Using two Hohmann transfers, what total v is required to move the satellite from this orbit to a circular geosynchronous orbit at the same inclination?

(b) Now the satellite needs to 0o inclination geostationary orbit.   Calculate the v required for this plane change in the geostationary orbit.  

(c) What v would have been required to do this at the original LEO circular orbit?

Explanation / Answer

a) total v is required to move the satellite = sqrt(GM/r)

                                                                        = sqrt(6.67 * 10-11 * 5.972 * 1024/380 * 1000)

                                                                        = 32376.58 m/s

b) the v required for this plane change =   32376.58 * cos58

                                                                  = 17157 m/s

c)   v would have been required   = 32376.58 * cos45

                                                        = 22893.7 m/s

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