Atlas2,133 of 3,915

II.C.124

m₃ = 0.75

From Li & Liao (2017)

II.C.124 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 126.88 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.001), so a small nudge only makes it wobble. The bodies pass within 0.0000143 of each other at a top speed of 282, line up 194 times a period, and the computed loop closes to 3.7×10⁻¹⁶.

Measured over one period

Period: 126.8834769
Masses: 1 : 1 : 0.75
Energy: -1.39235
Angular momentum: 0
Closest approach: 1.4×10⁻⁵
Top speed: 282.4
Path length: 292.08
Alignments per period: 194
Stability: stable (|λ|max 1.001)
Loop closure: 3.7×10⁻¹⁶

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.