Atlas826 of 3,942

I.B.105

m₃ = 0.75

From Li & Liao (2017)

I.B.105 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 139.34 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000359 of each other at a top speed of 564, line up 280 times a period, and the computed loop closes to 3.6×10⁻²⁰.

Measured over one period

Period: 139.3368818
Masses: 1 : 1 : 0.75
Energy: -1.66141
Angular momentum: 0
Closest approach: 3.6×10⁻⁶
Top speed: 564.0
Path length: 337.20
Alignments per period: 280
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 3.6×10⁻²⁰

Neighbours on the map

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