# 📐  L2 Spec — Orbital Mechanics Inversion (Lambert) — Nominal + Mismatch Specs

**ID:** `L2-455-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-455`](/artifact/l1/L1-455)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555281

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N revolutions | — | 0 – 10 |
| Orbit radius km | km | 200 – 60000 |
| Transfer angle deg | deg | 10 – 170 |
| Transfer time days | — | 0.01 – 365 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.5 + 0.5 * (transfer_angle_deg / 90) ** 0.2
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`ce366e6b76a29af632493ffa5abfe3a73d783116eb817a842024b69e4ca1d83a`

## 5. On-chain Registration

- **Chain hash:** `0x932636356c1d4451d6416d0f072d541d31372207854743b00bd3867edb023cc2`
- **Chain tx hash:** `0x95bfb58c8b772c3bd79c51e76d272cf249e99384baf9d7d5ed1c75f1986711c0`
- **Chain block:** `41555281`

---

## File Mapping

This bundle consists of: `L2-455-001.md`, `L2-455-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-455-001.md` | Source of truth — edit this | Human or LLM |
| `L2-455-001.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 `L2-455-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._