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# Beta Angle Calculator

The beta angle is a measurement used in spaceflight. It determines the time spend by an object in direct sunlight. The earth's equator is titled 23 degrees around the sun, hence the declination of the sun varies during the year. The given below is the online beta angle calculator for you to calculate the beta angle variation of a polar sun. Enter the parameters like declination and inclination of the sun, position of the ascending node in the beta angle calculator to do beta angle calculation.

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The beta angle is a measurement used in spaceflight. It determines the time spend by an object in direct sunlight. The earth's equator is titled 23 degrees around the sun, hence the declination of the sun varies during the year. The given below is the online beta angle calculator for you to calculate the beta angle variation of a polar sun. Enter the parameters like declination and inclination of the sun, position of the ascending node in the beta angle calculator to do beta angle calculation.

#### Formula:

β(t) = arcsin( cos(δs(t)) x sin(i) x sin(Ω(t) - Ωs(t)) + sin(δs(t)) x cos(i)) Where, δs(t) = Declination of the Sun i = Inclination of Orbit Ω(t) = Position of the Ascending Node Ωs(t) = Right Ascension of the Sun β(t) = Beta Angle

The beta angle is mostly used by the spaceflights to know the amount of time spent in the sunlight. It is the angle between the sun vector and object's plane. Try this beta angle calculator to get reliable results.