# run-momentum-conservation

`station__microgram__run-momentum-conservation` · external (needs EXECUTION_BACKEND_URL configured) · domain `microgram` · pv-relevance `pv-core`

Angular momentum classifier for flywheel conservation law. HIGH (L > 2x critical), NORMAL (L >= critical), LOW (L > 0.5x critical), STALLED (L <= 0.5x critical). Requires pre-computed momentum_ratio = L / critical_threshold.

> **Note:** This tool routes through an external execution backend. If `EXECUTION_BACKEND_URL` is unset on the server, calls return JSON-RPC error `-32603 "Tool execution backend not configured"`. Tools with `backend: native` execute in-process and are always callable.

## Agent metadata

- `idempotent`: unknown
- `read_only`: unknown
- `expected_latency_ms`: unknown (not yet contract-tested)
- `cost_tokens_estimate`: unknown

## Input schema

- `friction_drain` *number* (required) — Input parameter: friction_drain
- `momentum_ratio` *number* (required) — Input parameter: momentum_ratio
- `critical_threshold` *number* (required) — Input parameter: critical_threshold
- `omega` *number* (required) — Input parameter: omega
- `inertia` *number* (required) — Input parameter: inertia

## Example call

```json
POST /api/mcp
Content-Type: application/json

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "station__microgram__run-momentum-conservation",
    "arguments": {
      "friction_drain": 0,
      "momentum_ratio": 0,
      "critical_threshold": 0,
      "omega": 0,
      "inertia": 0
    }
  }
}
```

## Related

- [/tools](/tools) — all 3062 tools
- [/tools/microgram__run-momentum-conservation](/tools/microgram__run-momentum-conservation) — HTML page
- [/tools/microgram__run-momentum-conservation/json](/tools/microgram__run-momentum-conservation/json) — JSON form (agent-friendly)
- [/api/mcp](/api/mcp) — endpoint
- [/AGENTS.md](/AGENTS.md) — agent guide