Atlas1,027 of 3,915

I.B.87

m₃ = 0.5

From Li & Liao (2017)

I.B.87 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 129.24 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 5.339), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000756 of each other at a top speed of 42, line up 176 times a period, and the computed loop closes to 7.5×10⁻²⁵.

Measured over one period

Period: 129.2429794
Masses: 1 : 1 : 0.5
Energy: -1.02343
Angular momentum: 0
Closest approach: 7.6×10⁻⁴
Top speed: 42.00
Path length: 303.45
Alignments per period: 176
Stability: weakly unstable (|λ|max 5.339)
Loop closure: 7.5×10⁻²⁵

Neighbours on the map

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