Atlas1,126 of 3,915

I.B.125

m₃ = 0.5

From Li & Liao (2017)

I.B.125 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 157.65 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.506), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000123 of each other at a top speed of 104, line up 232 times a period, and the computed loop closes to 7.0×10⁻²⁴.

Measured over one period

Period: 157.6461326
Masses: 1 : 1 : 0.5
Energy: -1.08784
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 104.0
Path length: 387.09
Alignments per period: 232
Stability: weakly unstable (|λ|max 1.506)
Loop closure: 7.0×10⁻²⁴

Neighbours on the map

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