# 📐  L2 Spec — N-body Gravitational Simulation — Nominal + Mismatch Specs

**ID:** `L2-364-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-364`](/artifact/l1/L1-364)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.3 · **Delta tier:** 5
> **⛓ On-chain block:** 41555179

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Dt yr | — | 0.001 – 0.1 |
| N bodies | — | 10 – 10000 |
| T end yr | — | 10 – 10000 |
| Softening au | — | 0.01 – 1.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1e-5 * (dt_yr / 0.01) ** 2
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.3 |
| Delta tier | 5 |

## 4. Fingerprint

`8203545ef5e5be4f706e4226b3662a1eb37432e8194b290ddfafafa10e18cfdb`

## 5. On-chain Registration

- **Chain hash:** `0xf4022ffcd6e554e8ecafe51f9a3490ff2bbc03c2e6f9d138db10a111e0ecf421`
- **Chain tx hash:** `0xd9db561d8271bfb35ebafa609299c26cfc04f6b3027e257525e5bff198e9b6af`
- **Chain block:** `41555179`

---

## File Mapping

This bundle consists of: `L2-364-001.md`, `L2-364-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-364-001.md` | Source of truth — edit this | Human or LLM |
| `L2-364-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-364-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._