Atlas908 of 3,942

I.B.99

From Li & Liao (2017)

I.B.99 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 124.98 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000804 of each other at a top speed of 112, line up 224 times a period, and the computed loop closes to 6.2×10⁻²⁴.

Measured over one period

Period: 124.9805591
Masses: 1 : 1 : 1
Energy: -1.88494
Angular momentum: 0
Closest approach: 8.0×10⁻⁵
Top speed: 111.6
Path length: 328.52
Alignments per period: 224
Topology: ababABAbabaBABababABABabaBABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABAbabABABababABAbabaBABababABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.2×10⁻²⁴

Neighbours on the map

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