Atlas1,311 of 3,942

I.B.87

From Li & Liao (2017)

I.B.87 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 165.73 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.055), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000284 of each other at a top speed of 59.3, line up 180 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 165.7269287
Masses: 1 : 1 : 1
Energy: -1.40436
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 59.34
Path length: 417.54
Alignments per period: 180
Topology: aaBAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBAbbABabABaaBAbaBAbbABabABabAAbaBAbaBBabABabAAbaBAbaBBabABabABaaBAbaBAbbABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.055)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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