Positional Rate Variation Threshold Screen

Calculate the maximum-minus-minimum rate spread across measured positions and compare it only with an explicit caller-supplied range limit.

Description

Positional rate variation summarizes the spread of supplied seconds-per-day measurements.

Positional rate variation summarizes the spread of supplied seconds-per-day measurements. The caller chooses the allowed range.^[1]

Calculate the maximum-minus-minimum rate spread across measured positions and compare it only with an explicit caller-supplied range limit.

When to use Positional Rate Variation Threshold Screen

Use this tool to calculate the maximum-minus-minimum rate spread across measured positions and compare it only with an explicit caller-supplied range limit.

Choose a supported lookup focus or prepare the measured values, documented evidence and caller-selected limits requested. Use the exact field names and confirm their units or date format.

How to use Positional Rate Variation Threshold Screen and understand its results

Choose a supported lookup focus or prepare the measured values, documented evidence and caller-selected limits requested. Use the exact field names and confirm their units or date format.
Enter maximumAllowedRangeSecondsPerDay, positionRatesSecondsPerDay using the field table and calculation rules, then run the tool.
Read arithmeticMeanSecondsPerDay, maximumRateSecondsPerDay, minimumRateSecondsPerDay, positionCount, rangeSecondsPerDay, withinCallerRangeLimit. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
maximumAllowedRangeSecondsPerDay	Maximum allowed positional rate range (s/day)	number; minimum: 0	Required
positionRatesSecondsPerDay	Measured position rates (s/day)	list of number	Required

Enter at least two finite signed rates and nonnegative maximum range. Return arithmetic mean, extrema, count, range and inclusive gate. Equal rates have zero range.

range=max(rates)−min(rates); within=range≤maximum

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
arithmeticMeanSecondsPerDay	Arithmetic mean position rate (s/day)	number
maximumRateSecondsPerDay	Maximum position rate (s/day)	number
minimumRateSecondsPerDay	Minimum position rate (s/day)	number
positionCount	Position count	integer; minimum: 2
rangeSecondsPerDay	Maximum-minus-minimum rate range (s/day)	number; minimum: 0
withinCallerRangeLimit	Within caller range limit	boolean

json

{
  "input": {
    "maximumAllowedRangeSecondsPerDay": 6,
    "positionRatesSecondsPerDay": [
      -2,
      1,
      3,
      0
    ]
  },
  "output": {
    "arithmeticMeanSecondsPerDay": 0.5,
    "maximumRateSecondsPerDay": 3,
    "minimumRateSecondsPerDay": -2,
    "positionCount": 4,
    "rangeSecondsPerDay": 5,
    "withinCallerRangeLimit": true
  }
}

Limitations and assumptions

No measurement protocol, weighting, positional correction or chronometer certification is supplied.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Six Position Orientation Code Lookup: Map the CH, CB, 9H, 6H, 3H, and 12H workshop test codes to physical orientations while separating them from the five-position COSC procedure. For a complementary task, use Tourbillon Rotating Cage Principle Lookup: State the rotating-cage principle and calculate cage speed for a caller-supplied tourbillon rotation period.

References

Positional Rate Variation Threshold Screen — tool.io

Similar or alternative tools

Six Position Orientation Code Lookup
Map the CH, CB, 9H, 6H, 3H, and 12H workshop test codes to physical orientations while separating them from the five-position COSC procedure.
Tourbillon Rotating Cage Principle Lookup
State the rotating-cage principle and calculate cage speed for a caller-supplied tourbillon rotation period.