Atlas2,152 of 3,915

II.C.99

m₃ = 0.5

From Li & Liao (2017)

II.C.99 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 89.374 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 128.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000117 of each other at a top speed of 107, line up 136 times a period, and the computed loop closes to 4.0×10⁻²⁴.

Measured over one period

Period: 89.37405308
Masses: 1 : 1 : 0.5
Energy: -1.10796
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 106.6
Path length: 220.03
Alignments per period: 136
Stability: unstable (|λ|max 128.1)
Loop closure: 4.0×10⁻²⁴

Neighbours on the map

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