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L4 and L5
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Classroom Contents
Motion Near L4, L5 Stable Lagrange Points - Tadpole, Horseshoe Orbits, Trojan Asteroids, Lucy Mission
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- 1 Lagrange point location review
- 2 L4 and L5
- 3 Characteristic polynomial
- 4 Critical value of mu for L4, L5 instability
- 5 Eigenvalues vs. mu mass parameter
- 6 Trojan asteroids of Jupiter and Lucy mission trajectory
- 7 Analytical approximation of eigenvalues for small mu
- 8 Superposition of short period and long period motion
- 9 Epicyclic motion, guiding center, large and small ellipse
- 10 Zero velocity curves near L4 and L5
- 11 Tadpole orbits, encircling L4 or L5
- 12 Horseshoe orbits, encircling L3, L4, & L5
- 13 Polar coordinate representation of tadpoles and horseshoe
- 14 Analytical formula for tadpole & horseshoe orbits
- 15 Out-of-plane motion
