Atlas1,019 of 3,915

I.B.137

From Li & Liao (2017)

I.B.137 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 174.55 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.238), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000202 of each other at a top speed of 70.4, line up 324 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 174.5534848
Masses: 1 : 1 : 1
Energy: -1.94043
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 70.40
Path length: 478.40
Alignments per period: 324
Stability: weakly unstable (|λ|max 1.238)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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