Atlas1,767 of 3,915

II.C.154

m₃ = 0.5

From Li & Liao (2017)

II.C.154 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 99.43 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 7.875), 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 190 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 99.42961170
Masses: 1 : 1 : 0.5
Energy: -1.29877
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 74.46
Path length: 259.31
Alignments per period: 190
Stability: weakly unstable (|λ|max 7.875)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.