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Space Propulsion - IAP/TU Wien

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<strong>Space</strong> <strong>Propulsion</strong><br />

Single- and multi – stage<br />

rockets using the same<br />

amount of propellant to<br />

accelerate same payload<br />

ΔV<br />

= I<br />

= I<br />

sp<br />

sp<br />

⎡<br />

.ln⎢<br />

⎣<br />

( 1+<br />

φ)<br />

m<br />

L<br />

⎡ 1+<br />

φ<br />

.ln⎢<br />

⎣φ<br />

+<br />

S<br />

n<br />

+ m<br />

+ φS<br />

( 1+<br />

ψ )<br />

n<br />

−n<br />

L<br />

⎤<br />

⎥<br />

⎦<br />

⎤<br />

⎥<br />

⎦<br />

=<br />

Δ V<br />

=<br />

S n<br />

= m L<br />

n . I . ln sp<br />

( 1+<br />

ψ )<br />

n<br />

R<br />

−1<br />

1+<br />

φ

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