Escape Velocity implementation

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

t4-197

Effect

Computation or source lookup only

Input and validation requirements

The specification does not define altitude units, sign convention, or required behavior for h<=-R. Inputs at h=-R produce division by zero, and inputs below that limit produce a negative square-root argument. The formula also has no actual physical branch, so domain handling must be implemented explicitly.

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": {
    "body": "Earth",
    "gravitational_parameter_m3_per_s2": 398600441800000,
    "radius_m": 6371000,
    "altitude_m": 0
  },
  "expected_outputs": {
    "escape_velocity_m_per_s": 11186.14
  },
  "working": "r = R + h = 6,371,000 + 0 = 6,371,000 m\nv = sqrt(2μ/r) = sqrt((2 × 398,600,441,800,000) / 6,371,000)\n= sqrt(7.972008836 × 10^14 / 6.371 × 10^6)\n= sqrt(1.251296317 × 10^8)\n= 11,186.14 m/s"
}

Other records

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