Space Propulsion - IAP/TU Wien

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Space Propulsion Reaction propulsion momentum conservation mV = const. dp = d( mV ) = mdV + Vdm = 0 dV = −V e dm m ∫ dV = −V e ∫ dm m ΔV = −V e ln m m i f Tsiolkovski equation
Space Propulsion Tsiolkovsky equation ΔV = −V e ln m m i f m m i f = e ΔV − v e since direction of v e (exhaust velocity) is opposite to velocity gain ΔV, the ratio - ΔV/v e is always positive; therefore we can express the exponent as ΔV/ Iv e I m m i f = e ΔV v e • initial mass increases exponentially with ΔV (@ m f = const.) • decreases exponentially with v e • final mass, which can be brought into orbit with ΔV de- …creases with increasing ΔV and increases with v e
Page 1 and 2: Space Propulsion Pioneer 10 Pioneer
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Page 5 and 6: Space Propulsion Every particle of
Page 7 and 8: Space Propulsion Circular orbit mV
Page 9 and 10: Space Propulsion 5 3.98x10 V orb
Page 11 and 12: Space Propulsion Gravitational traj
Page 13 and 14: Space Propulsion Gravitational traj
Page 15 and 16: Space Propulsion dA 2 2 P = abπ =
Page 17 and 18: Space Propulsion The orbit of a bod
Page 19: Space Propulsion Elliptical orbits
Page 23 and 24: Space Propulsion Total impulse Tota
Page 25 and 26: Space Propulsion jet power definiti
Page 27 and 28: Space Propulsion these purely mecha
Page 29 and 30: Space Propulsion The staging princi
Page 31 and 32: Space Propulsion m i = ρmL + ψ .
Page 33 and 34: Space Propulsion Check for tankage
Page 35 and 36: Space Propulsion coplanar orbit cha
Page 37 and 38: Space Propulsion Example 1: Simple
Page 39 and 40: Space Propulsion Hohmann transfer:
Page 41 and 42: Space Propulsion Velocity increase
Page 43 and 44: Space Propulsion Combined maneuver:
Page 45 and 46: Repositioning, cont‘d Space Propu
Page 47 and 48: Space Propulsion Basically a 3 - bo
Page 49 and 50: Space Propulsion vectorial velocity
Page 51 and 52: Space Propulsion
Page 53 and 54: Space Propulsion CASSINI probe to S
Page 55 and 56: Space Propulsion Liftoff from groun
Page 57 and 58: Space Propulsion Spiraling up dv dt
Page 59 and 60: Space Propulsion Spiraling up time
Page 61 and 62: Space Propulsion Comparison of Hohm
Page 63 and 64: Space Propulsion Attitude maneuvres
Page 65 and 66: Space Propulsion Thruster combinati
Page 67 and 68: Space Propulsion Attitude control t
Page 69 and 70: Space Propulsion Kinetics for rotat
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Space Propulsion one - axis maneuvr
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Space Propulsion Example 6: One-Axi
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Space Propulsion Example 7: Precess
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limit cycle cont‘d Space Propulsi
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Space Propulsion Example 8: Limit-C
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Space Propulsion dir. of ext. torqu
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Space Propulsion forced limit cycle
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eaction wheel, cont’d Space Propu
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eaction wheel, cont’d Space Propu
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Space Propulsion - IAP/TU Wien

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