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Well law: the band term, WellTree owns every term; the old law, per-body sums and Gauss ring law deleted

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GravityField is now the band term U(eps, inner, outer) (C4 smoothstep fade, closed form and a series for tau > 1).
WellTree is built once per Zone from the orbit tree: node terms, reach, support, the pruned Force/Potential walk and
PullAround (rails). Zone.GetHeight/GetForce/PeriodAround delegate to it; WellReference, _wellOn, _strengths,
Strength() and DrawAhead.Well are gone; GravityLowering and the shader template take the flat term list;
HeightExaggeration halves to 2.0491803.

Does not pass yet: Gravity.cginc is not regenerated and PotentialOwnerTests/OrbitsFromFieldTests still spell the old law.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
This commit is contained in:
Meta Vens 2026-10-16 17:56:25 +02:00
commit eeeb6db290
11 changed files with 664 additions and 213 deletions
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7
Assets/Scripts/ServerShared/Settings.cs
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@ -16,11 +16,12 @@ public class PlanetSettings
public ExponentialCurve LightRadius;
public ExponentialCurve BodyRadius;
// The closest a child may orbit its parent, in u, by the parent's mass, and the softened core radius of the parent's
// well (the steepest drawn slope sits at the Roche limit). Authored like BodyRadius, never per body.
// The closest a child may orbit its parent, in u, by the parent's mass, and the Plummer softening of the parent's
// well (the steepest slope, 0.5 c / eps, sits at the Roche limit). Authored like BodyRadius, never per body.
public ExponentialCurve RocheLimit = new ExponentialCurve();
// A body's well strength by its mass (GravityField): c in u^2/s^2 (the pull is c / r beyond the core, which is the Roche limit).
// A body's well strength by its mass (GravityField): c in u^2/s^2. The pull is c d / (d^2 + eps^2) inside a family and
// c(family mass) beyond it (WellTree); eps is the Roche limit.
public ExponentialCurve WellStrength = new ExponentialCurve();
// The one global exaggeration of gravity height: height = potential / K, in u/s^2 per unit of height.