Atlas1,031 of 3,915

I.B.86

m₃ = 0.5

From Li & Liao (2017)

I.B.86 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 116.26 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.042), so a small nudge only makes it wobble. The bodies pass within 0.000221 of each other at a top speed of 77.6, line up 176 times a period, and the computed loop closes to 7.3×10⁻²⁵.

Measured over one period

Period: 116.2605253
Masses: 1 : 1 : 0.5
Energy: -1.09826
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 77.64
Path length: 282.72
Alignments per period: 176
Stability: stable (|λ|max 1.042)
Loop closure: 7.3×10⁻²⁵

Neighbours on the map

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