Redshift to Recession Velocity Converter
Pure radial special-relativistic Doppler redshift inversion, supports blue shift z>−1; cosmological redshift not a unique SR velocity. Model only, not an ephemeris, measured stellar identity or observational guarantee.
Description
A radial special-relativistic Doppler shift has a nonlinear relation to velocity.
A radial special-relativistic Doppler shift has a nonlinear relation to velocity.1
This interpretation must be distinguished from cosmological redshift or a complete source-velocity solution. Use Redshift to Recession Velocity Converter to evaluate the supplied inputs under the model explained below.
When to use Redshift to Recession Velocity Converter
Use Redshift to Recession Velocity Converter to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Redshift to Recession Velocity Converter and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Special relativistic radial redshift using the field table and validation rules below, then run the tool.
- Read Radial beta, Radial velocity km per second; interpret the units, signs, ordering and unknown-value placeholders described below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| specialRelativisticRadialRedshift | Special relativistic radial redshift | number | Required; constraints below |
Enter finite radial SR redshift z with −1<z≤10000. Compute β=((1+z)²−1)/((1+z)²+1) and multiply by 299792.458 km/s. Negative redshift returns approach velocity; zero returns zero. No cosmological distance or peculiar-motion correction occurs.
radialBeta=((1+z)²−1)/((1+z)²+1); velocityKmPerSecond=c×β Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| radialBeta | Radial beta | number |
| radialVelocityKmPerSecond | Radial velocity km per second | number |
{
"input": {
"specialRelativisticRadialRedshift": 1
},
"output": {
"radialBeta": 0.6,
"radialVelocityKmPerSecond": 179875.4748
}
}Limitations and assumptions
This interpretation must be distinguished from cosmological redshift or a complete source-velocity solution. 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 Hubble Law Distance From Velocity for a related task: The linear Hubble relation compares recession velocity with an assumed Hubble parameter.
Use Approximate Luminosity Distance From z for a related task: Luminosity distance relates source luminosity to observed flux in a cosmological model.
References
-
Redshift to Recession Velocity Converter — tool.io
Similar or alternative tools
- Hubble Law Distance From Velocity
The linear Hubble relation compares recession velocity with an assumed Hubble parameter.
- Approximate Luminosity Distance From z
Luminosity distance relates source luminosity to observed flux in a cosmological model.