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Orbital plane change: A satellite is launched due east from the Kennedy Space Center (latitude 28.6º). Following orbit insertion and a circularizing second burn with no plane change, the satellite is in a circular orbit at an altitude of 540 km. Its final destination is a circular orbit at 15,000 km with an inclination of 0 degrees.   a. Using two Hohmann transfers, what total Δv is required to move the satellite from the initial orbit to the higher circular at the same inclination? Include a sketch showing the initial orbit, the transfer orbit and the final orbit. Include the location(s) of the burn(s). b. Calculate the Δv required to change the orbital inclination from its initial value to zero degrees in both the initial circular orbit and the higher circular orbit. Where would you want to make the change to the orbital inclination?

Orbital plane change: A satellite is launched due east from the Kennedy Space Center (latitude 28.6º). Following orbit insertion and a circularizing second burn with no plane change, the satellite is in a circular orbit at an altitude of 540 km. Its final destination is a circular orbit at 15,000 km with an inclination of 0 degrees.   a. Using two Hohmann transfers, what total Δv is required to move the satellite from the initial orbit to the higher circular at the same inclination? Include a sketch showing the initial orbit, the transfer orbit and the final orbit. Include the location(s) of the burn(s). b. Calculate the Δv required to change the orbital inclination from its initial value to zero degrees in both the initial circular orbit and the higher circular orbit. Where would you want to make the change to the orbital inclination?

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Orbital plane change: A satellite is launched due east from the Kennedy Space Center (latitude 28.6º). Following orbit insertion and a circularizing second burn with no plane change, the satellite is in a circular orbit at an altitude of 540 km. Its final destination is a circular orbit at 15,000 km with an inclination of 0 degrees.  

a. Using two Hohmann transfers, what total Δv is required to move the satellite from the initial orbit to the higher circular at the same inclination? Include a sketch showing the initial orbit, the transfer orbit and the final orbit. Include the location(s) of the burn(s).

b. Calculate the Δv required to change the orbital inclination from its initial value to zero degrees in both the initial circular orbit and the higher circular orbit. Where would you want to make the change to the orbital inclination? 

G = 6.67300 x 10:11 m³ kg' s2 Average radius of Earth = 6371 km Mass of Earth = 5.974 x1024 kg Mass of Sun = 1.989 x 1030 kg Mass of Moon= 7.347 x 1022 kg Average distance from Earth to Sun: 1.496 x 108 km Sidereal Day = 23 hours 56 minutes 4 sec GEO altitude = 35,790km Hearth = 398600 km3/sec2 Average radius of moon's orbit= 384,400 km Average radius of the Moon=1737 km,
Transcribed Image Text:G = 6.67300 x 10:11 m³ kg' s2 Average radius of Earth = 6371 km Mass of Earth = 5.974 x1024 kg Mass of Sun = 1.989 x 1030 kg Mass of Moon= 7.347 x 1022 kg Average distance from Earth to Sun: 1.496 x 108 km Sidereal Day = 23 hours 56 minutes 4 sec GEO altitude = 35,790km Hearth = 398600 km3/sec2 Average radius of moon's orbit= 384,400 km Average radius of the Moon=1737 km,
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