Binary Star & Lagrange Points
Restricted 3-body problem — L1–L5 equilibria and equipotential contours
Mass ratio μ
0.30
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Trail length
200
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In the co-rotating frame, the
effective potential Φ_eff =
−GM₁/r₁ − GM₂/r₂ − ½ω²r²
Lagrange points:
L1: between the stars
L2: far side of small star
L3: far side of large star
L4, L5: equilateral triangles
(stable if μ < 0.0385)
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test particle.
μ = M₂/(M₁+M₂) =
0.30