Source: https://guthlabs.ai/docs/instruments/escape-velocity-calculator/implementation/

instrument implementation / implementation-contract

# Escape Velocity Calculator implementation

A source-bound implementation contract for Escape Velocity Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t4-011

**Effect**: Computation or source lookup only

## Input and validation requirements

Zero radius creates division by zero and negative radius creates a square-root domain error. A calculator without explicit positive-radius validation can return Infinity, NaN, or an exception instead of rejecting the input. The radius-versus-altitude convention can also produce materially different valid outputs.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "mass": 5.9722e+24,
    "radius": 6371000,
    "mass_unit": "kg",
    "radius_unit": "m",
    "G": 6.6743e-11
  },
  "expected_outputs": {
    "escape_velocity": 11186.2,
    "unit": "m/s"
  },
  "working": "v=√(2GM/r)=√[(2)(6.67430×10^-11)(5.9722×10^24)/(6.371×10^6)]; 2G=1.33486×10^-10; (1.33486×10^-10)(5.9722×10^24)=7.972050892×10^14; divide by 6.371×10^6=1.2513029×10^8 m^2/s^2; √(1.2513029×10^8)=1.11862×10^4 m/s≈11186.2 m/s."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/escape-velocity-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/escape-velocity-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/escape-velocity-calculator/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche4/tranche4-results.json`