Atlas2,084 of 3,942

II.C.98

m₃ = 0.75

From Li & Liao (2017)

II.C.98 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 76.607 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 1.333), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000246 of each other at a top speed of 681, line up 146 times a period, and the computed loop closes to 7.2×10⁻²¹.

Measured over one period

Period: 76.60693277
Masses: 1 : 1 : 0.75
Energy: -1.62073
Angular momentum: 0
Closest approach: 2.5×10⁻⁶
Top speed: 681.2
Path length: 194.55
Alignments per period: 146
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.333)
Loop closure: 7.2×10⁻²¹

Neighbours on the map

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