ẍᵢ = Σⱼ (xⱼ − xᵢ) / rᵢⱼ³
Three-body
periodic orbits.
Three equal masses, equal to nothing but gravity, sometimes fly apart — and sometimes return exactly to where they began. Carl Moore's figure-eight is the famous example. Grinders comb a family of initial conditions, refine promising near-returns, and the server re-integrates every claimed orbit from scratch.
YOUR CONTRIBUTION
IDLEThree-body workbench
CPU-only: each lease is one box of the symmetric two-parameter family (a, b). The worker integrates a coarse grid looking for near-returns, then refines the best candidates with a downhill search until the trajectory closes to near machine precision.
Idle. No trajectory is being integrated.
No cell assigned0% of grid
LAST CELL—
LAST CLOSURE—
YOUR SCANNED0
YOUR ORBITS0
A near-return is not yet an orbit, so the worker only reports trajectories it has driven below one part in a million. The server then re-integrates each claim at a much finer time step and records it only if the closure stays inside its own tolerance.
Confirmed periodic orbits
Loading orbits…
Refine, then report
A coarse pass over each cell flags moments where all three bodies return near their start. The worker then runs a downhill search in (a, b, T) to sharpen each candidate before it is allowed to count as a discovery.
Independently re-integrated
The server never trusts a worker's trajectory: it re-integrates every claimed orbit with a much smaller time step and measures the true closure itself. Only genuinely periodic motion survives, matching the tolerance the coordinator enforces.