Atlas2,202 of 3,915

II.C.176

m₃ = 0.5

From Li & Liao (2017)

II.C.176 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 171.64 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 45.88), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000213 of each other at a top speed of 79.1, line up 216 times a period, and the computed loop closes to 1.3×10⁻²³.

Measured over one period

Period: 171.6434806
Masses: 1 : 1 : 0.5
Energy: -0.967795
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 79.13
Path length: 382.51
Alignments per period: 216
Stability: unstable (|λ|max 45.88)
Loop closure: 1.3×10⁻²³

Neighbours on the map

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