2. The simplest way to increase the size of a circular orbit is method called a Hohmann Transfer (transfers the satellite from a small circular orbit to a larger one). It involves firing thrusters to create a change in velocity to get the satellite into a transfer orbit (elliptical), then later firing the thrusters again for another change in velocity to increase the size of the orbit (back to circular). Diagram: b Avb Transfer Initial Final Ava a Let us say we have the satellite from the previous problem in a circular orbit. We want to increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity necessary to go into the final circular orbit, Av. (c) How long will the transfer take? Constants needed: = G = 6.674 × 10-11 Nm² ²/kg² Re = 6.378 x 106m Me 5.974 x 1024 kg

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2. The simplest way to increase the size of a circular orbit is method called a Hohmann
Transfer (transfers the satellite from a small circular orbit to a larger one). It involves
firing thrusters to create a change in velocity to get the satellite into a transfer orbit
(elliptical), then later firing the thrusters again for another change in velocity to increase
the size of the orbit (back to circular). Diagram:
b
Avb
Transfer
Initial
Final
Ava
a
Let us
say we have the satellite from the previous problem in a circular orbit. We want to
increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in
velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity
necessary to go into the final circular orbit, Av. (c) How long will the transfer take?
Constants needed:
=
G = 6.674 × 10-11 Nm²
²/kg²
Re = 6.378 x 106m
Mo
5.974 x 1024 kg
Transcribed Image Text:2. The simplest way to increase the size of a circular orbit is method called a Hohmann Transfer (transfers the satellite from a small circular orbit to a larger one). It involves firing thrusters to create a change in velocity to get the satellite into a transfer orbit (elliptical), then later firing the thrusters again for another change in velocity to increase the size of the orbit (back to circular). Diagram: b Avb Transfer Initial Final Ava a Let us say we have the satellite from the previous problem in a circular orbit. We want to increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity necessary to go into the final circular orbit, Av. (c) How long will the transfer take? Constants needed: = G = 6.674 × 10-11 Nm² ²/kg² Re = 6.378 x 106m Mo 5.974 x 1024 kg
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