Space Propulsion - IAP/TU Wien

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Space Propulsion Spiraling up ΔV, propellant consumption and mission time can be estimated when • thrust direction is always tangential to trajectory (permanent attitude change!!) • thrust
Space Propulsion Spiraling up dv dt = T m + g equation of motion for S/C of mass m, propelled by thrust T r r 2 v ε = +U 2 () r ∞ ∞ FG () ( r) dU U r = −∫ dr = −∫ g( r) dr = − g( r) m dr ⎤ dv dU () ( r) dr ⎛ ⎞ ⎥ = + = ⎜ dv r v v − g() ⎟ ⎡ 2 dε d v = ⎢ + U r dt dt ⎢ 2 ⎥ dt dt ⎜ ⎣ ⎦ dr ⎝ dt ⎠ Specific energy = spec. kinetic energy + + potential potential energy and its gradient time derivative of specific energy dε = dt T v m = T v m acc. to assumption, always v II T; inner product replaced by magnitudes
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Space Propulsion Pioneer 10 Pioneer
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Space Propulsion
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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
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Page 15 and 16: Space Propulsion dA 2 2 P = abπ =
Page 17 and 18: Space Propulsion The orbit of a bod
Page 19 and 20: Space Propulsion Elliptical orbits
Page 21 and 22: Space Propulsion Tsiolkovsky equati
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
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Page 53 and 54: Space Propulsion CASSINI probe to S
Page 55: Space Propulsion Liftoff from groun
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
Page 71 and 72: Space Propulsion one - axis maneuvr
Page 73 and 74: Space Propulsion Example 6: One-Axi
Page 75 and 76: Space Propulsion Example 7: Precess
Page 77 and 78: limit cycle cont‘d Space Propulsi
Page 79 and 80: Space Propulsion Example 8: Limit-C
Page 81 and 82: Space Propulsion dir. of ext. torqu
Page 83 and 84: Space Propulsion forced limit cycle
Page 85 and 86: eaction wheel, cont’d Space Propu
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Space Propulsion - IAP/TU Wien

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