Proper Motion RA Dec Components Total Vector Magnitude Calculator
Tangent-plane vector magnitude with RA*=RA cos Dec supplied, not raw RA coordinate rate. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.
Description
Total proper motion combines orthogonal east and north components.
Total proper motion combines orthogonal east and north components.1
The east component here already contains the right-ascension cosine factor. Use Proper Motion RA Dec Components Total Vector Magnitude Calculator to evaluate the supplied inputs under the model explained below.
When to use Proper Motion RA Dec Components Total Vector Magnitude Calculator
Use Proper Motion RA Dec Components Total Vector Magnitude Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Proper Motion RA Dec Components Total Vector Magnitude Calculator and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Ra star proper motion mas per year, Dec proper motion mas per year using the field table and validation rules below, then run the tool.
- Read Total proper motion mas per year; 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 |
|---|---|---|---|
| raStarProperMotionMasPerYear | Ra star proper motion mas per year | number | Required; constraints below |
| decProperMotionMasPerYear | Dec proper motion mas per year | number | Required; constraints below |
Enter finite signed RA-star and declination motion components in mas/year. Return hypot(east,north); zero vector returns zero. RA-star already includes cos(declination), and no extra cosine or radial component is applied.
totalMotionMasPerYear=hypot(raStar,decMotion) Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| totalProperMotionMasPerYear | Total proper motion mas per year | number |
{
"input": {
"raStarProperMotionMasPerYear": 3,
"decProperMotionMasPerYear": 4
},
"output": {
"totalProperMotionMasPerYear": 5
}
}Limitations and assumptions
The east component here already contains the right-ascension cosine factor. 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 Proper Motion Position Angle Solver from Components for a related task: Proper-motion position angle describes direction east of north.
Use Proper Motion Significance Sigma per Year Classifier for a related task: A component's significance compares signed motion with its independently measured uncertainty.
References
Similar or alternative tools
- Proper Motion Position Angle Solver from Components
Proper-motion position angle describes direction east of north.
- Proper Motion Significance Sigma per Year Classifier
A component's significance compares signed motion with its independently measured uncertainty.