Hubble Law Distance From Velocity

Low-redshift linear Hubble distance with independently corrected peculiar motion and caller H0; signed velocity/distance retained, not cosmological inference for largez. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

The linear Hubble relation compares recession velocity with an assumed Hubble parameter.

The linear Hubble relation compares recession velocity with an assumed Hubble parameter.1

Peculiar-motion correction and the relation's applicability must be established independently. Use Hubble Law Distance From Velocity to evaluate the supplied inputs under the model explained below.

When to use Hubble Law Distance From Velocity

Use Hubble Law Distance From Velocity to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Hubble Law Distance From Velocity and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Peculiar corrected recession km per second, Hubble km per second per mpc using the field table and validation rules below, then run the tool.
  3. Read Linear hubble distance mpc; 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
peculiarCorrectedRecessionKmPerSecondPeculiar corrected recession km per secondnumberRequired; constraints below
hubbleKmPerSecondPerMpcHubble km per second per mpcnumberRequired; constraints below

Enter finite independently peculiar-corrected recession velocity in km/s and positive Hubble parameter in km/s/Mpc. Divide for linear distance in Mpc. Negative velocity produces a negative model result, not a physical negative-distance interpretation. No peculiar-motion estimate or relativistic/cosmological integration is performed.

linearDistanceMpc=callerCorrectedRecessionKmPerSecond/H0

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

Output fieldMeaningValue type
linearHubbleDistanceMpcLinear hubble distance mpcnumber
json
{
  "input": {
    "peculiarCorrectedRecessionKmPerSecond": 700,
    "hubbleKmPerSecondPerMpc": 70
  },
  "output": {
    "linearHubbleDistanceMpc": 10
  }
}

Limitations and assumptions

Peculiar-motion correction and the relation's applicability must be established independently. 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 Redshift to Recession Velocity Converter for a related task: A radial special-relativistic Doppler shift has a nonlinear relation to velocity.

Use Hubble Time Age Estimate for a related task: Hubble time is the reciprocal of the Hubble parameter after unit conversion.

References

  1. Hubble Law Distance From Velocity — tool.io

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