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PS8%202010

# PS8%202010 - AAE 532 Orbital Mechanics Problem Set 8 Due...

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AAE 532 – Orbital Mechanics Problem Set 8 Due: 10/29/10 Problem 1: Assume that a vehicle is in a circular Earth orbit at 1.05 R and note that the inclination is zero. A maneuver is required to change inclination, and shift to a circular orbit that is the same size but with 75 i = D . (a) Consider a single impulse to accomplish the change. Determine the , , and v α β Δ that correspond to the maneuver. (b) Perhaps a bi-elliptic transfer can be used instead. From the original circular orbit, shift onto the transfer ellipse and include a plane-change maneuver at apoapsis. Compute the required cost to accomplish the plane change, i.e., , , and v α β Δ if the intermediate radius is 14 R . What is the total v Δ and the TOF? (c) Change the intermediate radius to 40 R . Find the total v Δ as well as the TOF. Is the time penalty a good trade-off for the cost savings? Problem 2: Assume that you are considering options for transfer between circular, coplanar Earth orbits. Since this is a rendezvous problem, your transfer vehicle (OTV) must rendezvous with a storage station already in orbit. In this problem, the initial orbit altitude is 185 km, but now the final orbit radius is 15.5

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PS8%202010 - AAE 532 Orbital Mechanics Problem Set 8 Due...

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