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.
Enter the input Hour Angles value in the text field.
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.
You may copy the resulting Milli-radians value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
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:
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:
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 angle
0 mrad
1 hour angle
261.7994mrad
10 hour angle
2617.9939mrad
45 hour angle
11780.9725mrad
90 hour angle
23561.9449mrad
180 hour angle
47123.8898mrad
360 hour angle
94247.7796mrad
1000 hour angle
261799.3878mrad
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?
The formula to convert Hour Angles to Milli-radians in Angle is:
Hour Angles * 2000 * π / 24
2. Is this tool free or paid?
This Angle conversion tool, which converts Hour Angles to Milli-radians, is completely free to use.
3. How do I convert Angle from Hour Angles to Milli-radians?
To convert Angle from Hour Angles to Milli-radians, you can use the following formula:
Hour Angles * 2000 * π / 24
For example, if you have a value in Hour Angles, you substitute that value in place of Hour Angles in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.