PS9%202010

# PS9%202010 - AAE 532 Orbital Mechanics Problem Set 9 Due...

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AAE 532 – Orbital Mechanics Problem Set 9 Due: 11/5/10 Problem 1: There is much discussion around the world currently about a potential return to the Moon. Consider a Hohmann transfer to the Moon. Assume departure from a 185 km altitude circular Earth parking orbit; include the local gravity fields. (a) Determine the Total v Δ and TOF for the outbound leg of a Hohmann transfer to the Moon if the spacecraft drops into a circular orbit at the Moon with radius of altitude 110 km. Assume arrival on the near (light) side. What are the transfer characteristics: , , , rv γ θ −−∗ at e arrival, ,, , , , pa a e r r period E ? Phase angle at departure from the parking orbit? (b) If the spacecraft does not execute the capture maneuver, determine the orbital characteristics, relative the Earth, after the lunar encounter, i.e., , , , + ++∗ . (c) (c) Assume that it is desirable to return to the Earth on the second half of the Hohmann transfer used for the outbound leg. What , v α Δ are necessary to offset the impact of lunar gravity on the Earth-centered trajectory?

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PS9%202010 - AAE 532 Orbital Mechanics Problem Set 9 Due...

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