Atlas1,812 of 3,915

II.C.132

m₃ = 0.75

From Li & Liao (2017)

II.C.132 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 140.32 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 5.524), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000238 of each other at a top speed of 69.3, line up 198 times a period, and the computed loop closes to 6.8×10⁻²⁵.

Measured over one period

Period: 140.3245706
Masses: 1 : 1 : 0.75
Energy: -1.37510
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 69.32
Path length: 365.79
Alignments per period: 198
Stability: weakly unstable (|λ|max 5.524)
Loop closure: 6.8×10⁻²⁵

Neighbours on the map

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