Atlas838 of 3,915

I.B.34

m₃ = 0.75

From Li & Liao (2017)

I.B.34 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 70.071 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 0.000157 of each other at a top speed of 85.2, line up 116 times a period, and the computed loop closes to 2.5×10⁻²⁴.

Measured over one period

Period: 70.07118148
Masses: 1 : 1 : 0.75
Energy: -1.47647
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 85.23
Path length: 171.21
Alignments per period: 116
Stability: stable (|λ|max 1.000)
Loop closure: 2.5×10⁻²⁴

Neighbours on the map

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