Atlas863 of 3,942

I.B.53

m₃ = 0.75

From Li & Liao (2017)

I.B.53 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 93.479 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 0.000081 of each other at a top speed of 119, line up 156 times a period, and the computed loop closes to 5.2×10⁻¹⁷.

Measured over one period

Period: 93.47904654
Masses: 1 : 1 : 0.75
Energy: -1.48309
Angular momentum: 0
Closest approach: 8.1×10⁻⁵
Top speed: 118.8
Path length: 228.04
Alignments per period: 156
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.2×10⁻¹⁷

Neighbours on the map

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