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Declination angle Calculator

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✖The Number of days is the total count of days considered for evaluating solar energy system performance and efficiency over a specific period.ⓘ Number of days [N]

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✖The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection throughout the year.ⓘ Declination angle [δ]

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Declination angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Declination Angle = 23.45*sin(0.9863*(284+Number of days))
δ = 23.45*sin(0.9863*(284+N))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sin(Angle)

Variables Used

Declination Angle - (Measured in Radian) - The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection throughout the year.
Number of days - The Number of days is the total count of days considered for evaluating solar energy system performance and efficiency over a specific period.

STEP 1: Convert Input(s) to Base Unit

Number of days: 28.17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = 23.45*sin(0.9863*(284+N)) --> 23.45*sin(0.9863*(284+28.17))

Evaluating ... ...

δ = 0.403107879620931

STEP 3: Convert Result to Output's Unit

0.403107879620931 Radian -->23.0963801907514 Degree (Check conversion here)

FINAL ANSWER

23.0963801907514 ≈ 23.09638 Degree <-- Declination Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Calculator and 50+ more calculators!

Verified by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has verified this Calculator and 10+ more calculators!

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Declination angle Formula

LaTeX Go

Declination Angle = 23.45*sin(0.9863*(284+Number of days))
δ = 23.45*sin(0.9863*(284+N))

What is Declination Angle?

The declination angle is the angle between the Earth's equatorial plane and the line connecting the centers of the Earth and the Sun. It varies throughout the year due to the tilt of the Earth's axis, reaching its maximum and minimum values during the solstices. This angle affects the intensity and distribution of sunlight, influencing seasonal changes, day length, and solar energy potential at different latitudes. It plays a key role in understanding Earth's climate and solar energy applications.

How to Calculate Declination angle?

Declination angle calculator uses Declination Angle = 23.45*sin(0.9863*(284+Number of days)) to calculate 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 calculate Declination angle using this online calculator? To use this online calculator for Declination angle, enter Number of days (N) and hit the calculate button. Here is how the Declination angle calculation can be explained with given input values -> 1323.325 = 23.45*sin(0.9863*(284+28.17)).

FAQ

What is 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 and is represented as δ = 23.45*sin(0.9863*(284+N)) or Declination Angle = 23.45*sin(0.9863*(284+Number of days)). The Number of days is the total count of days considered for evaluating solar energy system performance and efficiency over a specific period.

How to calculate 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 is calculated using Declination Angle = 23.45*sin(0.9863*(284+Number of days)). To calculate Declination angle, you need Number of days (N). With our tool, you need to enter the respective value for Number of days and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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