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 />
dA 2<br />
2<br />
P = abπ = πa<br />
1−<br />
ε = πa<br />
2<br />
dt<br />
p<br />
a<br />
In case of closed trajectory ( ellipse) product<br />
of constant areal velocity and period is equal<br />
to area of ellipse<br />
from kinetics:<br />
dA/dt = h/2<br />
p =<br />
2<br />
h<br />
μ<br />
2<br />
b = a 1−<br />
ε p = a( 1−<br />
ε ) 2<br />
from analyt. geometry<br />
2 4<br />
2<br />
2 4π<br />
a p 4π<br />
a<br />
P = =<br />
2<br />
h a μ<br />
3<br />
3 rd Kepler<br />
But also: period of elliptical trajectory only<br />
dependent on semimajor axis
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