Hour angle converter calculator

Calculate signed hour angle with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use signed hour angle to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Local sidereal time (hours)
10
Right ascension (hours)
6
Signed hour angle (hours)
4
Signed hour angle (degrees)
60

Try another scenario

Local sidereal time (hours)
11
Right ascension (hours)
6
Signed hour angle (hours)
5
Signed hour angle (degrees)
75
Calculation method

Calculation method

Signed hour angle (hours)

Wrap local sidereal time minus right ascension into [-12,12) hours.

Signed hour angle (degrees)

Wrap local sidereal time minus right ascension into [-12,12) hours.

Symbols and units
a
Local sidereal time (hours)
b
Right ascension (hours)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Wrap local sidereal time minus right ascension into [-12,12) hours.
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