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Mass parameter and ITN

11 Jun 2015, 02:30 UTC
Mass parameter and ITN
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It seems like every other post I'm singing the praises of EML2. I'm also enthusiastic about L1 and L2 necks for big moons orbiting gas giants.So why do I diss the Sun Earth L2 or the Sun Mars L1? Robert Walker put it fairly well:I've no idea why you think there's some essential difference between e.g. transfers between moons in the Jupiter system and transfer between planets around the sun. Mathematically it's the same situation, multiple masses around a central planet or sun. Obviously the moons of Jupiter are larger compared with Jupiter than planets are compared to the sun, and the orbits are far shorter. But they still have Hohmann transfer orbits, and hill spheres, and lagrange points, and these tubes, which lead out from the lagrange points. It's The μThe big reason is mass parameter. This quantity is often denoted μ in discussion of 3 body mechanics.It's common to choose units so that mass of central and orbiting body sum to one.For example if central mass were 90% percent of the system's mass, central mass would be .9 and orbiting body would be .1. In this case μ would be 1/10.The small the μ, the closer L1 and ...

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