Atlas837 of 3,942

I.B.67

m₃ = 0.75

From Li & Liao (2017)

I.B.67 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 105.18 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 0.0000621 of each other at a top speed of 136, line up 176 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 105.1835821
Masses: 1 : 1 : 0.75
Energy: -1.48528
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 135.6
Path length: 256.45
Alignments per period: 176
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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