Source: https://guthlabs.ai/docs/instruments/gravitational-potential-energy-calculator/implementation/

instrument implementation / implementation-contract

# Gravitational Potential Energy Calculator implementation

A source-bound implementation contract for Gravitational Potential Energy 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**: t4-095

**Effect**: Computation or source lookup only

## Input and validation requirements

The general formula has an undefined division-by-zero input at r=0 and must reject it rather than return a numeric result. A separate hazard is that general and near-surface outputs use different reference conventions, so switching modes can produce apparently inconsistent values unless the reference level is made explicit.

## 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": {
    "mode": "general",
    "m1_kg": 5.972e+24,
    "m2_kg": 1000,
    "r_m": 7000000,
    "G_N_m2_per_kg2": 6.6743e-11
  },
  "expected_outputs": {
    "U_J": -56941313714.2857
  },
  "working": "U=−Gm1m2/r\n=−(6.67430×10^-11)(5.972×10^24)(1000)/(7.000×10^6)\n=−(6.67430×5.972)×10^16/(7.000×10^6)\n=−39.8589196×10^16/(7.000×10^6)\n=−5.69413137142857×10^10 J\n=−56,941,313,714.2857 J"
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/gravitational-potential-energy-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/gravitational-potential-energy-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/gravitational-potential-energy-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`