L1 L2 Points: Influence & Model Dependence

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SUMMARY

The discussion focuses on the influence and model dependence of the Lagrange points L1, L2, L3, L4, and L5, particularly in the context of celestial mechanics. It highlights that while L4 and L5 points appear to cover a large area, a body must approach them slowly and near the center to be captured effectively. The conversation also raises questions about the sustainability of the L3 point, suggesting that the gravitational influence may be minimal due to the speed of gravitational interactions being equal to the speed of light. The example of asteroid 2002 AA29 illustrates the complexities of orbits in relation to these points.

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  • Familiarity with Lagrange points and their significance in orbital dynamics
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  • Basic grasp of the speed of light and its implications in gravitational interactions
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wolram
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Can some one tell me how big an area of influence the lagrange L1, L2
etc points have ? or are they model depandant ? Thanks.
 
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http://www.physics.montana.edu/faculty/cornish/lagrange.html

In this diagram the area covered by the L4, L5 points look huge, but i guess a body would have to enter it slowly and near the center to be captured, but what would its maximum orbit be?
I can not understand how the L3 point is sustained, surly if the speed of G=C then any planetary influence would be (washed) away by the refresh rate of the speed of G ?
 
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The attraction is quite weak. 2002 AA29 sails right through the Earth-Sun L4 and L5 points in its bizarre horseshoe orbit.
 

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