Atlas1,758 of 3,942

II.C.148

m₃ = 0.75

From Li & Liao (2017)

II.C.148 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 155.24 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 1.947), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000000711 of each other at a top speed of 1267, line up 252 times a period, and the computed loop closes to 5.3×10⁻²⁰.

Measured over one period

Period: 155.2429996
Masses: 1 : 1 : 0.75
Energy: -1.50590
Angular momentum: 0
Closest approach: 7.1×10⁻⁷
Top speed: 1267
Path length: 422.81
Alignments per period: 252
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.947)
Loop closure: 5.3×10⁻²⁰

Neighbours on the map

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