Lunar-Ranging Precision
Convert round-trip timing uncertainty into one-way lunar-ranging distance uncertainty.
Description
Round-trip timing uncertainty maps to half a vacuum path uncertainty.
Round-trip timing uncertainty maps to half a vacuum path uncertainty. The factor of two converts to one-way range.1
Convert round-trip timing uncertainty into one-way lunar-ranging distance uncertainty.
When to use Lunar-Ranging Precision
Use this tool to convert round-trip timing uncertainty into one-way lunar-ranging distance uncertainty.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Lunar-Ranging Precision and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter roundTripTimingUncertaintySeconds using the field table and calculation rules, then run the tool.
- Read oneWayRangeUncertaintyMeters, oneWayRangeUncertaintyCentimeters. 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 |
|---|---|---|---|
| roundTripTimingUncertaintySeconds | Round-trip timing uncertainty (s) | number; minimum: 0 | Required |
Enter nonnegative seconds. Return meters and centimeters using c=299792458 m/s.
uncertainty=c×timingUncertainty/2 Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| oneWayRangeUncertaintyMeters | One-way range uncertainty (m) | number; minimum: 0 |
| oneWayRangeUncertaintyCentimeters | One-way range uncertainty (cm) | number; minimum: 0 |
{
"input": {
"roundTripTimingUncertaintySeconds": 1e-10
},
"output": {
"oneWayRangeUncertaintyMeters": 0.014989622900000001,
"oneWayRangeUncertaintyCentimeters": 1.4989622900000001
}
}Limitations and assumptions
No atmospheric delay, station clock, reflector geometry or statistical error-budget combination is included.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Tracker Error Budget: Combine independent laser-tracker error components by root-sum-square. For a complementary task, use Comb Traceability Uncertainty: Combine independent fractional uncertainties in an optical-frequency traceability chain.
References
-
Lunar-Ranging Precision — tool.io
Similar or alternative tools
- Tracker Error Budget
Combine independent laser-tracker error components by root-sum-square.
- Comb Traceability Uncertainty
Combine independent fractional uncertainties in an optical-frequency traceability chain.