research: reuse quadrature and clarify snapshot and VIV coordinates

docs/moving_bodies.md

@@ -30,6 +30,10 @@ cells (M1 `MovingCircleCells`), moving-wall Bouzidi with wall velocity
   mass, eq_only, no_donor, crossings) accumulated since obs were zeroed;
   `obs`/`read_force` keep their contract (CME on the body).
 - `get_flags()` reads device flags back when moving circles exist.
+- `snapshot()` / `restore()` save and restore populations only, keeping the
+  current clock, controls, observations, geometry and flags. Use them only
+  with unchanged geometry; restoring across a translation is unsupported
+  and is not rejected at runtime. They do not provide FSI rollback.
 
 *Supported:* dense double buffer, D2Q9, FP32 unshifted, SRT/MRT, circles,
 spin. *Rejected before mutation:* EsoPull, ddf shifting, D3Q19, refinement /