Atlas1,142 of 3,942

I.B.149

m₃ = 0.5

From Li & Liao (2017)

I.B.149 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 172.5 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.168), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00024 of each other at a top speed of 74.5, line up 348 times a period, and the computed loop closes to 9.5×10⁻²⁴.

Measured over one period

Period: 172.5037479
Masses: 1 : 1 : 0.5
Energy: -1.33249
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 74.49
Path length: 453.46
Alignments per period: 348
Topology: aabAbaBABaBAbabAbaBABabAbabABaBAAbbAbaaBBabAAbbABaaBAbbAAbaBBaaBAbbAABaBBaabAbaBABaBAbabAbaBABabAbabABaBABabAbaaBBaBAAbbABaaBBabAAbbABaaBAbbAAbaBBaabAbbAABaBAbabAbaBABabAbabABaBABabAbaaBBaBAAbbABaaBBabAAbbABaaBAbbAAbaBBaaBAbbAABaBB (free-group class)
Stability: weakly unstable (|λ|max 3.168)
Loop closure: 9.5×10⁻²⁴

Neighbours on the map

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