Atlas1,080 of 3,915

I.B.120

m₃ = 0.5

From Li & Liao (2017)

I.B.120 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 157.09 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.152), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000284 of each other at a top speed of 68.5, line up 228 times a period, and the computed loop closes to 9.3×10⁻²⁵.

Measured over one period

Period: 157.0896368
Masses: 1 : 1 : 0.5
Energy: -1.07261
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 68.53
Path length: 380.25
Alignments per period: 228
Stability: weakly unstable (|λ|max 1.152)
Loop closure: 9.3×10⁻²⁵

Neighbours on the map

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