Atlas877 of 3,915

I.B.186

From Li & Liao (2017)

I.B.186 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 175.39 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.705), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000147 of each other at a top speed of 261, line up 360 times a period, and the computed loop closes to 1.0×10⁻²¹.

Measured over one period

Period: 175.3859688
Masses: 1 : 1 : 1
Energy: -2.04581
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 261.2
Path length: 452.47
Alignments per period: 360
Stability: weakly unstable (|λ|max 1.705)
Loop closure: 1.0×10⁻²¹

Neighbours on the map

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