Space Propulsion - IAP/TU Wien

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Space Propulsion Gravitational trajectories H = r × mV angular momentum around point C d H dt ⎛ = m⎜ ⎝ dr dt × V + r × dV dt ⎞ ⎟ = r × m ⎠ dV dt = r × F = M M … torque around C Assumption: Central force: F II r d H dt r × F = M = 0 = M = 0 H = mr × V = const. → trajectory remains in same plane perp. to H
Space Propulsion Gravitational trajectories h = H / m = r × V = rV sinφ = const specific angular momentum = const ( V sinφ. dt) r d θ = / 1 1 dA ≅ r. . 2 2 ( rdθ ) = rV sinφ dt dθ V sinφ = = dt r h 2 r dA dt = 1 2 rV sinφ = h 2 = const 2 nd Kepler‘s law: areal velocity is constant Plane trajectories and constant areal velocity follow from central force requirement only; force field must not be 1/r 2 and not even conservative
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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 .
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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
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Page 49 and 50: Space Propulsion vectorial velocity
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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
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Space Propulsion Comparison of Hohm
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Space Propulsion Attitude maneuvres
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Space Propulsion Thruster combinati
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Space Propulsion Attitude control t
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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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