Space Propulsion - IAP/TU Wien

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Space Propulsion Liftoff from ground 2 v 2 μ − = ε = const. r ε gr = ε p μ = − R energy conservation ε = E/m … specific energy specific energy at rest on Earth‘s surface v = 0, r = R (purely potential energy) V = μ R velocity in circular orbit with Radius R ε = 0, k μ 2R spec. kinetic energy in circular orbit at Earth‘s surface, r =a = R ε O μ μ = − = 2R R μ − 2R total specific energy in orbit near Earth‘s surface μ ⎛ μ ⎞ Δ ε O = − − ⎜ − ⎟ = 2R ⎝ R ⎠ μ 2R spec. energy for liftoff from rest into circular orbit near Earth‘s surface 5 μ 3.98x10 ΔV = 2Δε O = = ≅ 7.69 3 R 6.73x10 [ km / s] ΔV necessary for liftoff into circular orbit near Earth‘s surface
Space Propulsion Liftoff from ground 5 μ 3.98x10 ΔV = 2Δε O = = ≅ 7.69 3 R 6.73x10 [ km / s] ⎡ ⎛ V ⎞ ⎤ ⎧ ⎡(7690) ⎤ ⎫ mp m f ⎢exp⎜ Δ = ⎟ −1⎥ = 1⎨exp −1⎬ = 10.95 I ⎢ sp ⎩ (3100) ⎥ ⎢ ⎣ ⎝ ⎠ ⎥⎦ ⎣ ⎦ ⎭ [ kg / kg]
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Space Propulsion Pioneer 10 Pioneer
Page 3 and 4: Space Propulsion
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 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: Space Propulsion CASSINI probe to S
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
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
Page 87: eaction wheel, cont’d Space Propu
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Space Propulsion - IAP/TU Wien

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