Atlas1,445 of 3,942

II.C.250

From Li & Liao (2017)

II.C.250 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 177.35 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 78.83), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000674 of each other at a top speed of 38.5, line up 190 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 177.3515125
Masses: 1 : 1 : 1
Energy: -1.37727
Angular momentum: 0
Closest approach: 6.7×10⁻⁴
Top speed: 38.50
Path length: 442.39
Alignments per period: 190
Topology: abaBAbabABabaBAbabABabaBABabABAbaBABabABAbabABabaBAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbaBAB (free-group class)
Stability: unstable (|λ|max 78.83)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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