Hour Angles to Milli-radians Converter

Enter Hour Angles


Milli-radians





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How to use this Hour Angles to Milli-radians Converter 🤔

Follow these steps to convert given angle from the units of Hour Angles to the units of Milli-radians.

  1. Enter the input Hour Angles value in the text field.
  2. The calculator converts the given Hour Angles into Milli-radians in realtime ⌚ using the conversion formula, and displays under the Milli-radians label. You do not need to click any button. If the input changes, Milli-radians value is re-calculated, just like that.
  3. You may copy the resulting Milli-radians value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Hour Angles to Milli-radians?

The formula to convert given angle from Hour Angles to Milli-radians is:

Angle(Milli-radians) = Angle(Hour Angles) × 2000 × π / 24

Substitute the given value of angle in hour angles, i.e., Angle(Hour Angles) in the above formula and simplify the right-hand side value. The resulting value is the angle in milli-radians, i.e., Angle(Milli-radians).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that the position of a celestial body is tracked at 6 hour angles.
Convert this angle from hour angles to Milli-radians.

Answer:

Given:

The angle in hour angles is:

Angle(Hour Angles) = 6

Formula:

The formula to convert angle from hour angles to milli-radians is:

Angle(Milli-radians) = Angle(Hour Angles) × 2000 × π / 24

Substitution:

Substitute given weight Angle(Hour Angles) = 6 in the above formula.

Angle(Milli-radians) = 6 × 2000 × 3.14159265359 / 24

Angle(Milli-radians) = 1570.7963

Final Answer:

Therefore, 6 hour angle is equal to 1570.7963 mrad.

The angle is 1570.7963 mrad, in milli-radians.

2

Consider that a sundial shows a time difference of 4 hour angles.
Convert this angle from hour angles to Milli-radians.

Answer:

Given:

The angle in hour angles is:

Angle(Hour Angles) = 4

Formula:

The formula to convert angle from hour angles to milli-radians is:

Angle(Milli-radians) = Angle(Hour Angles) × 2000 × π / 24

Substitution:

Substitute given weight Angle(Hour Angles) = 4 in the above formula.

Angle(Milli-radians) = 4 × 2000 × 3.14159265359 / 24

Angle(Milli-radians) = 1047.1976

Final Answer:

Therefore, 4 hour angle is equal to 1047.1976 mrad.

The angle is 1047.1976 mrad, in milli-radians.

Hour Angles to Milli-radians Conversion Table

The following table gives some of the most used conversions from 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

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.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Hour Angles to Milli-radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Hour Angles to Milli-radians?