Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
Space Propulsion - IAP/TU Wien
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
<strong>Space</strong> <strong>Propulsion</strong><br />
Tsiolkovsky equation<br />
ΔV<br />
= −V<br />
e<br />
ln<br />
m<br />
m<br />
i<br />
f<br />
m<br />
m<br />
i<br />
f<br />
=<br />
e<br />
ΔV<br />
−<br />
v e<br />
since direction of v e (exhaust velocity) is opposite to velocity gain ΔV, the ratio<br />
- ΔV/v e is always positive; therefore we can express the exponent as ΔV/ Iv e I<br />
m<br />
m<br />
i<br />
f<br />
= e<br />
ΔV<br />
v<br />
e<br />
• initial mass increases exponentially with ΔV (@ m f = const.)<br />
• decreases exponentially with v e<br />
• final mass, which can be brought into orbit with ΔV de-<br />
…creases with increasing ΔV and increases with v e