Atlas1,312 of 3,942

I.B.112

From Li & Liao (2017)

I.B.112 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 196.46 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.007), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000254 of each other at a top speed of 62.7, line up 216 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 196.4574241
Masses: 1 : 1 : 1
Energy: -1.41618
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 62.73
Path length: 505.27
Alignments per period: 216
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.007)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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