Atlas1,174 of 3,942

I.B.132

m₃ = 0.5

From Li & Liao (2017)

I.B.132 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 183.17 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.473), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000245 of each other at a top speed of 73.7, line up 244 times a period, and the computed loop closes to 4.1×10⁻²⁵.

Measured over one period

Period: 183.1661270
Masses: 1 : 1 : 0.5
Energy: -1.03136
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 73.73
Path length: 446.05
Alignments per period: 244
Topology: aaBAbaBAbabABabAAbaBAbabABabABaaBAbaBABabABaaBAbaBAbabABabAAbaBAbabABabABaaBAbaBABabABabAAbaBAbabABabAAbaBAbaBABabABaaBAbaBABabABabAAbaBAbabABabAAbaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.473)
Loop closure: 4.1×10⁻²⁵

Neighbours on the map

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