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Declination angle Formula

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The declination angle of the sun is the angle between the equator and a line drawn from the centre of the Earth to the centre of the sun. Check FAQs

δ = 23.45 \cdot \sin (0.9863 \cdot (284 + N))

δ - Declination Angle?N - Number of days?

Declination angle Example

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Here is how the Declination angle equation looks like with Values.

Here is how the Declination angle equation looks like with Units.

Here is how the Declination angle equation looks like.

1301.3761 = 23.45 \cdot \sin (0.9863 \cdot (284 + 30))

1301.3761° = 23.45 \cdot \sin (0.9863 \cdot (284 + 30))

1301.3761 = 23.45 \cdot \sin (0.9863 \cdot (284 + 30))

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Declination angle Solution

Follow our step by step solution on how to calculate Declination angle?

FIRST Step Consider the formula

δ = 23.45 \cdot \sin (0.9863 \cdot (284 + N))

Next Step Substitute values of Variables

∴

δ = 23.45 \cdot \sin (0.9863 \cdot (284 + 30))

Next Step Prepare to Evaluate

∴

δ = 23.45 \cdot \sin (0.9863 \cdot (284 + 30))

Next Step Evaluate

∴

δ = 22.7132972358839rad

Next Step Convert to Output's Unit

∴

δ = 1301.37607044255°

LAST Step Rounding Answer

∴

δ = 1301.3761°

Declination angle Formula Elements

Variables

Functions

Declination Angle

The declination angle of the sun is the angle between the equator and a line drawn from the centre of the Earth to the centre of the sun.

Symbol: δ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Declination Angle

Number of days

Number of days are the total number of days counted from January 1.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of days

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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How to Evaluate Declination angle?

Declination angle evaluator uses Declination Angle = 23.45*sin(0.9863*(284+Number of days)) to evaluate the Declination Angle, The Declination angle formula is defined as the angle made by the line joining the centres of sun and earth with the equatorial plane. Declination Angle is denoted by δ symbol.

How to evaluate Declination angle using this online evaluator? To use this online evaluator for Declination angle, enter Number of days (N) and hit the calculate button.

FAQs on Declination angle

What is the formula to find Declination angle?

The formula of Declination angle is expressed as Declination Angle = 23.45*sin(0.9863*(284+Number of days)). Here is an example- 74563.36 = 23.45*sin(0.9863*(284+30)).

How to calculate Declination angle?

With Number of days (N) we can find Declination angle using the formula - Declination Angle = 23.45*sin(0.9863*(284+Number of days)). This formula also uses Sine function(s).

Can the Declination angle be negative?

Yes, the Declination angle, measured in Angle can be negative.

Which unit is used to measure Declination angle?

Declination angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Declination angle can be measured.

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