Neutron Star Density t/cm³ Estimate

Spherical mean density,1 tonne/cm³=10^9 kg/m³, not neutron-star equation of state. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

Mean stellar density uses mass divided by a spherical volume.

Mean stellar density uses mass divided by a spherical volume.1

A neutron-star label does not make a mean-density estimate a detailed relativistic interior model. Use Neutron Star Density t/cm³ Estimate to evaluate the supplied inputs under the model explained below.

When to use Neutron Star Density t/cm³ Estimate

Use Neutron Star Density t/cm³ Estimate to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Neutron Star Density t/cm³ Estimate and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Mass kg, Radius km using the field table and validation rules below, then run the tool.
  3. Read Mean density tonnes per cubic cm; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
massKgMass kgnumberRequired; constraints below
radiusKmRadius kmnumberRequired; constraints below

Enter nonnegative mass in kg and positive radius in km. Divide mass by spherical volume after converting radius to m, then divide kg/m³ by 1000000000 to express tonnes/cm³. Zero mass returns zero; no density profile or relativistic structure is modeled.

meanTonnesPerCM3=massKg/((4π/3)×(1000×radiusKm)³)/1e9

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
meanDensityTonnesPerCubicCmMean density tonnes per cubic cmnumber
json
{
  "input": {
    "massKg": 4188790204786.3906,
    "radiusKm": 1
  },
  "output": {
    "meanDensityTonnesPerCubicCm": 0.0000010000000000000002
  }
}

Limitations and assumptions

A neutron-star label does not make a mean-density estimate a detailed relativistic interior model. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Tidal Force Ratio Two Bodies Calculator for a related task: A distant body's tidal gradient scales with mass divided by distance cubed.

Use Schwarzschild Radius From Mass for a related task: The Schwarzschild radius describes an ideal nonrotating, uncharged mass model.

References

  1. Neutron Star Density t/cm³ Estimate — tool.io

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