Atlas924 of 3,942

I.B.147

m₃ = 0.5

From Li & Liao (2017)

I.B.147 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 172.73 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000624 of each other at a top speed of 462, line up 328 times a period, and the computed loop closes to 3.2×10⁻¹⁶.

Measured over one period

Period: 172.7342330
Masses: 1 : 1 : 0.5
Energy: -1.25600
Angular momentum: 0
Closest approach: 6.2×10⁻⁶
Top speed: 462.3
Path length: 422.92
Alignments per period: 328
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻¹⁶

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.