Exoplanet Surface Gravity Calculator

ActualidealNewtoniansphericalplanetgm/r²m/s²,not tablelookup/spin/effectiveatmosphericpressure or mass/radiusrelation. Actual independent model/unit/frame/epoch/calibration and applicable measurement established;not precise ephemeris,forecast,geodesy operation,identity or safety approval.

Description

Surface gravity is gravitational acceleration at the radius of an ideal spherical body.

Surface gravity is gravitational acceleration at the radius of an ideal spherical body.1

This calculator applies Newton’s mass–radius relation using kilograms and meters, without fitting exoplanet observations.

When to use Exoplanet Surface Gravity Calculator

Use this tool to apply the stated exoplanet surface gravity calculator operation with an explicit input and unit basis.

How to use Exoplanet Surface Gravity Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualExoplanetMassKg, actualExoplanetRadiusMeters and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualExoplanetMassKgExoplanet Mass Kg. Units, ordering and applicable branch are specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
actualExoplanetRadiusMetersExoplanet Radius Meters. Units, ordering and applicable branch are specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm

Require nonnegative mass in kilograms and positive radius in meters. Evaluate G times mass divided by radius squared using G=6.6743×10⁻¹¹ SI; rotation, oblateness and atmospheric altitude are outside the model.

g = 6.6743e−11 × massKg/radiusMeters²

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueIdeal surface acceleration in m/s².number
json
{
  "input": {
    "actualExoplanetMassKg": 1,
    "actualExoplanetRadiusMeters": 1
  },
  "output": {
    "result": {
      "value": 6.6743e-11
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Semi-Major Axis From Period Calculator. Kepler’s two-body period relation connects a bound orbit’s period with its semi-major axis.

For a related operation, use Exoplanet Density g/cm³ Calculator. Bulk density combines a body’s mass with an assumed spherical volume.

References

  1. Exoplanet Surface Gravity Calculator — tool.io

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