PS12%202010

PS12%202010 - AAE 532 Orbital Mechanics Problem Set 12 Due...

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AAE 532 – Orbital Mechanics Problem Set 12 Due: 12/10/10 Problem 1: One of the most ambitious interplanetary missions that have been accomplished is the Voyager tour of the solar system. From launch in 1977, two spacecraft together encountered four of the giant outer planets. The trajectories were designed to use a series of gravity assists that make the “grand tour” possible. Such a design can be accomplished by considering one trajectory segment at a time and then “patching” them all together. From Figures 1 and 2, there are essentially 5 segments: 1. Earth Jupiter 2. Jupiter Saturn 3. Saturn Uranus 4. Uranus Neptune 5. Post-Neptune Consider the second and third segments for the Voyager 2 trajectory: Jupiter Uranus incorporating a gravity assist at Saturn. This is the same segment that was discussed in class. (Note that Voyager 2 launches first but arrives second at each destination.) Your design includes: (a) Two transfer orbits: Jupiter Saturn and Saturn Uranus. The dates of the encounter at each body are given. Use Lambert’s Equation to design each transfer arc. Determine the characteristics:
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This note was uploaded on 12/22/2010 for the course A&AE 532 taught by Professor Kathleenhowell during the Spring '10 term at Purdue.

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PS12%202010 - AAE 532 Orbital Mechanics Problem Set 12 Due...

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