Atlas866 of 3,915

I.B.13

m₃ = 0.75

From Li & Liao (2017)

I.B.13 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 34.962 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000864 of each other at a top speed of 36.4, line up 56 times a period, and the computed loop closes to 2.1×10⁻²⁵.

Measured over one period

Period: 34.96242076
Masses: 1 : 1 : 0.75
Energy: -1.44961
Angular momentum: 0
Closest approach: 8.6×10⁻⁴
Top speed: 36.36
Path length: 85.867
Alignments per period: 56
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²⁵

Neighbours on the map

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