MAE155A_HW1B_soln

MAE155A_HW1B_soln - Re := 6378.14 km Book Homework 2010 :=...

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γ 28.711 deg = γ atan e sin θ () 1 e cos θ + := g flight path angle θ 81.905 deg = θ acos r p 1e + r A e 1 e := f True anomaly V x 7.496 10 3 × m s = V x 2 μ r A μ a := r A 3622 km R e + := e Satellite velocity when A=3622 km P 6.098 hr = P 2 π μ a 3 := d Orbit period V a 2.425 km s = V a 2 μ r a μ a := c apogee velocity r a 2.711 10 4 × km = r a a1 e + := b apogee radius V p 9.7 km s = V p 2 μ r p μ a := a perigee veloctiy a r p := e 0.6 := r p 400 km R e + := 3.1 Book Homework 2010 μ 398600 km 3 sec 2 := R e 6378.14 km :=
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A lunar railroad is used to launch a vehicle from the lunar equator into space. How fast does it need to go to lift off the surface of the moon? If the acceleration is 7 g, a 7.594 10 3 × km = a R p 1e := R p 6.974 10 3 × km = R p R 1 1 e cos θ 1 () + + := e 0.082 = e R 2 R 1 R 1 cos θ 1 R 2 cos θ 2 := θ 2 58 deg := R 2 R e 852 km + := θ 1 126 deg := R 1 R e 1545 km + := 3.3 Change 1.258 % = Change V e40 2 V e 2 V e 2 := Weight change proportional to V^2 V e40 466.74 m s = V e40 2 π R e 40km +
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This note was uploaded on 08/02/2010 for the course MAE 155a taught by Professor Staff during the Fall '08 term at UCSD.

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MAE155A_HW1B_soln - Re := 6378.14 km Book Homework 2010 :=...

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