Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
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<strong>Space</strong> <strong>Propulsion</strong><br />
Example 3: Hohman transfer from circular Earth orbit (altitude = 200 km) to geostationary<br />
orbit (r = 42219 km); what is fuel consumption to bring a 1 t payload to GEO with a specific<br />
impulse of 3100 [m/s]?<br />
Velocity in LEO:<br />
Velocity in LEO:<br />
398,600<br />
V = μ =<br />
=<br />
r 6387 + 200<br />
7.78<br />
[ km / s]<br />
Velocity in GEO similarly is<br />
3.07 [km/s]<br />
Semimajor axis of transfer ellipse is<br />
( 6387 + 200)<br />
+ 42219<br />
a =<br />
=<br />
2<br />
24403<br />
[ km]<br />
Perigee velocity in transfer ellipse is:<br />
V<br />
p<br />
=<br />
2μ<br />
μ<br />
− =<br />
r a<br />
p<br />
2*398600<br />
−<br />
6387 + 200<br />
398600<br />
24403<br />
=<br />
= 10.22<br />
[ km / s]<br />
Example 3, cont‘d