Transit Time Upper Culmination Hour Finder

Next upper transit delay from independent current LST and caller sidereal/clock-rate conversion, no actual calendar ephemeris or precession. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.

Description

Upper culmination occurs when local sidereal time matches right ascension.

Upper culmination occurs when local sidereal time matches right ascension.1

Time until that alignment requires a sidereal-to-clock advance convention. Use Transit Time Upper Culmination Hour Finder to evaluate the supplied inputs under the model explained below.

When to use Transit Time Upper Culmination Hour Finder

Use Transit Time Upper Culmination Hour Finder to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Transit Time Upper Culmination Hour Finder and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Current local sidereal hours, Right ascension hours, Caller sidereal advance hours per clock hour using the field table and validation rules below, then run the tool.
  3. Read Clock hours until next upper transit; 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
currentLocalSiderealHoursCurrent local sidereal hoursnumberRequired; constraints below
rightAscensionHoursRight ascension hoursnumberRequired; constraints below
callerSiderealAdvanceHoursPerClockHourCaller sidereal advance hours per clock hournumberRequired; constraints below

Enter finite local sidereal and right-ascension hours and positive sidereal advance in hours per clock hour. Wrap RA−LST to [0,24), then divide by advance. An exact current alignment returns zero rather than one full-day wait. No civil timezone or sidereal-time computation occurs.

clockHoursUntilTransit=wrap24(RA−LST)/callerSiderealAdvance

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

Output fieldMeaningValue type
clockHoursUntilNextUpperTransitClock hours until next upper transitnumber
json
{
  "input": {
    "currentLocalSiderealHours": 1,
    "rightAscensionHours": 2,
    "callerSiderealAdvanceHoursPerClockHour": 1.00273790935
  },
  "output": {
    "clockHoursUntilNextUpperTransit": 0.9972695663298751
  }
}

Limitations and assumptions

Time until that alignment requires a sidereal-to-clock advance convention. 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 Hour Angle from Right Ascension and LST Solver for a related task: Hour angle measures local sidereal time relative to right ascension.

Use Local Sidereal Time from GST Longitude Calculator for a related task: Local sidereal time depends on Greenwich sidereal time and east-positive longitude.

References

  1. Transit Time Upper Culmination Hour Finder — tool.io

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