Space Propulsion - IAP/TU Wien

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Space Propulsion Spiraling up Δ V = v c , 0 − v c , r ΔV v c,0 = 1− r 0 r I sp >> ΔV τ = m 0 I sp T I −ΔV / Isp sp ΔV / Isp [ 1− e ] = m ( e −1) f T → m f ΔV T m p ⎡ ⎛ V ⎞ ⎤ m f ⎢ ⎜ Δ = exp ⎟ −1⎥ → m ⎢ ⎣ I ⎝ sp ⎠ ⎥⎦ f ΔV I sp m ∞ = 100. 5 10 100 5x10 τ ∞ = −3 5 7809 ( e 1) 2 /10 − ≅ 11.7 [ kg] 5 7809 ( e 1) 2 /10 − ≅ 5.1 [ y] Example Electric propulsion: T = 5 mN, I sp = 10 5 m/s; Time and propellant mass required for spiraling up a 100 kg payload from 300 km LEO (v = 7730 m/s) to escape velocity?
Space Propulsion Comparison of Hohmann and spiral transfer Hohmann spiral Δ V H ⎛ = ⎜ ⎝ 2μ 2μ − r r + r 1 1 2 − μ ⎞ ⎛ ⎟ + ⎜ r 1 ⎠ ⎝ μ − r 2 2μ 2μ − r r + r 2 1 2 ⎞ ⎟ ⎠ ΔV = V 1 −V 2 ρ = r 2 /r 1 Δ V H V 1 ⎛ = ⎜ ⎝ 2ρ ⎞ −1⎟ + 1+ ρ ⎠ 1 ⎛ ⎜ 1− ρ ⎝ 2 ⎞ ⎟ 1+ ρ ⎠ ΔV V 1 = 1− 1 ρ
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Space Propulsion Pioneer 10 Pioneer
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Space Propulsion
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Space Propulsion Every particle of
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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 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
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: Space Propulsion Spiraling up time
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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