hour angle to mrad | Hour Angles to Milli-radians Converter

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

Follow these steps to convert given Hour Angles value from Hour Angles units to Milli-radians units.

Enter the input Hour Angles value in the text field.
The given Hour Angles is converted to Milli-radians in realtime ⌚ using the formula, and displayed under the Milli-radians label.
You may copy the resulting Milli-radians value using the Copy button.

Formula

To convert given angle from Hour Angles to Milli-radians, use the following formula.

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

Calculation

Calculation will be done after you enter a valid input.

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	261.7994 mrad
10 hour angle	2617.9939 mrad
45 hour angle	11780.9725 mrad
90 hour angle	23561.9449 mrad
180 hour angle	47123.8898 mrad
360 hour angle	94247.7796 mrad
1000 hour angle	261799.3878 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.

{ "conversion": "hour_angles-milliradians", "x_slug": "hour_angles", "y_slug": "milliradians", "x": "hour angle", "y": "mrad", "x_desc": "Hour Angles", "y_desc": "Milli-radians", "category": "Angle", "symbol": "m", "formula": "x * 2000 * π / 24", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that the position of a celestial body is tracked at 6 hour angles. Convert this angle from hour angles to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in hour angles is:\n Angle(Hour Angles) = 6\n Formula:\n The formula to convert angle from hour angles to milli-radians is:\n Angle(Milli-radians) = Angle(Hour Angles) × 2000 × π / 24\n Substitution:\n Substitute given weight Angle(Hour Angles) = 6 in the above formula.\n Angle(Milli-radians) = 6 × 2000 × 3.14159265359 / 24\n Angle(Milli-radians) = 1570.7963\n Final Answer:\n Therefore, 6 hour angle is equal to 1570.7963 mrad.\n The angle is 1570.7963 mrad, in milli-radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a sundial shows a time difference of 4 hour angles. Convert this angle from hour angles to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in hour angles is:\n Angle(Hour Angles) = 4\n Formula:\n The formula to convert angle from hour angles to milli-radians is:\n Angle(Milli-radians) = Angle(Hour Angles) × 2000 × π / 24\n Substitution:\n Substitute given weight Angle(Hour Angles) = 4 in the above formula.\n Angle(Milli-radians) = 4 × 2000 × 3.14159265359 / 24\n Angle(Milli-radians) = 1047.1976\n Final Answer:\n Therefore, 4 hour angle is equal to 1047.1976 mrad.\n The angle is 1047.1976 mrad, in milli-radians.\n </div>\n ", "table1n": "<h2>Hour Angles to Milli-radians Conversion Table</h2>The following table gives some of the most used conversions from Hour Angles to Milli-radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Hour Angles (hour angle)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (mrad)</th><tr></thead><tbody><tr><td>0 hour angle</td><td>0 mrad</td></tr><tr><td>1 hour angle</td><td>261.7994 mrad</td></tr><tr><td>10 hour angle</td><td>2617.9939 mrad</td></tr><tr><td>45 hour angle</td><td>11780.9725 mrad</td></tr><tr><td>90 hour angle</td><td>23561.9449 mrad</td></tr><tr><td>180 hour angle</td><td>47123.8898 mrad</td></tr><tr><td>360 hour angle</td><td>94247.7796 mrad</td></tr><tr><td>1000 hour angle</td><td>261799.3878 mrad</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "x_long_desc": "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.", "y_long_desc": "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." }

Convert Hour Angles to Milli-radians