Atlas957 of 3,942

I.B.106

m₃ = 0.75

From Li & Liao (2017)

I.B.106 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 120.06 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 0.00000826 of each other at a top speed of 372, line up 284 times a period, and the computed loop closes to 2.5×10⁻¹⁷.

Measured over one period

Period: 120.0636230
Masses: 1 : 1 : 0.75
Energy: -1.86460
Angular momentum: 0
Closest approach: 8.3×10⁻⁶
Top speed: 371.9
Path length: 306.03
Alignments per period: 284
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.5×10⁻¹⁷

Neighbours on the map

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