Atlas1,649 of 3,942

II.C.25

m₃ = 2

From Li & Liao (2017)

II.C.25 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 77.514 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 1.074), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000621 of each other at a top speed of 655, line up 152 times a period, and the computed loop closes to 1.4×10⁻²⁰.

Measured over one period

Period: 77.51372798
Masses: 1 : 1 : 2
Energy: -3.20455
Angular momentum: 0
Closest approach: 6.2×10⁻⁶
Top speed: 655.4
Path length: 224.10
Alignments per period: 152
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.074)
Loop closure: 1.4×10⁻²⁰

Neighbours on the map

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