Atlas2,066 of 3,915

II.C.248

m₃ = 0.5

From Li & Liao (2017)

II.C.248 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 189.97 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 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000373 of each other at a top speed of 189, line up 334 times a period, and the computed loop closes to 2.3×10⁻¹⁶.

Measured over one period

Period: 189.9687043
Masses: 1 : 1 : 0.5
Energy: -1.18633
Angular momentum: 0
Closest approach: 3.7×10⁻⁵
Top speed: 189.2
Path length: 450.60
Alignments per period: 334
Stability: stable (|λ|max 1.000)
Loop closure: 2.3×10⁻¹⁶

Neighbours on the map

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