Atlas910 of 3,915

I.B.113

m₃ = 0.75

From Li & Liao (2017)

I.B.113 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 166.2 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.104), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000182 of each other at a top speed of 79.2, line up 308 times a period, and the computed loop closes to 7.8×10⁻²⁵.

Measured over one period

Period: 166.1997020
Masses: 1 : 1 : 0.75
Energy: -1.59257
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 79.18
Path length: 421.14
Alignments per period: 308
Stability: weakly unstable (|λ|max 1.104)
Loop closure: 7.8×10⁻²⁵

Neighbours on the map

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