Convert Hour Angles to Milli-radians

Enter a value in hour angles to convert it to milli-radians. The result updates instantly and includes the formula and calculation steps.

Hour Angles to Milli-radians calculator

to
hour angle
Milli-radians
mrad

Hour Angles to Milli-radians formula

Use this formula to convert hour angles to milli-radians:

Milli-radians = Hour Angles * 2000 * π / 24

Calculation

Enter a valid number above to see the formula with your value substituted step by step.

Hour Angles to Milli-radians Conversion Table

Reference values for converting Hour Angles to Milli-radians.

Hour Angles (hour angle)Milli-radians (mrad)
0 hour angle0 mrad
1 hour angle261.7994 mrad
10 hour angle2617.9939 mrad
45 hour angle11780.9725 mrad
90 hour angle23561.9449 mrad
180 hour angle47123.8898 mrad
360 hour angle94247.7796 mrad
1000 hour angle261799.3878 mrad

Worked example

Convert 6 Hour Angles to Milli-radians

Milli-radians = 6 × 2000 × π / 24 = 1570.7963 Milli-radians

About these units

Hour Angles

Hour angles are a unit of angular measurement used in astronomy to describe the position of celestial objects relative to an observer's local meridian. One hour angle corresponds to 15 degrees, reflecting the Earth's rotation rate of 15 degrees per hour. Hour angles are crucial in celestial navigation and the tracking of astronomical objects.

Milli-radians

Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.