Motion Near L4, L5 Stable Lagrange Points - Tadpole, Horseshoe Orbits, Trojan Asteroids, Lucy Mission

Motion Near L4, L5 Stable Lagrange Points - Tadpole, Horseshoe Orbits, Trojan Asteroids, Lucy Mission

Ross Dynamics Lab via YouTube Direct link

Lagrange point location review

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1 of 15

Lagrange point location review

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Motion Near L4, L5 Stable Lagrange Points - Tadpole, Horseshoe Orbits, Trojan Asteroids, Lucy Mission

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

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