Calculating the suns path in sky

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The discussion focuses on calculating the solar path using equations that involve degrees and time constants for a Java program. The user seeks clarification on whether to convert degree values to time values, as their results are unexpected. The equation of time (EoT) is mentioned, which uses trigonometric functions and outputs results in minutes, but angles are expressed in degrees. There is confusion regarding unit conversions, as the provided resources do not clearly differentiate between time and angle units. Understanding the units in the equations is crucial for accurate implementation.
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I've searched the internet and found a few sites, of varying depth, that contain some of the equations to calculating the solar path. At the moment, I'm not particularly concerned with precision. I am trying to discern the equations in order to implement them into a java program I am writing.

Some of the equations use degrees multiplied by time constants and so I'm trying to decide if I need to change the degree value to time values? The reason I ask is that my result is not a value I expected. The link provided has the series of equations I would like to use.

The equation of time uses trig functions, but says the result represents minutes. Does that mean I need to convert the degree value to minutes, or the result is already in minutes? No units are used in this case and so its a little confusing to discern.

http://www.pveducation.org/pvcdrom/properties-of-sunlight/solar-time
 
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You should start by saying what you mean by "the Sun's path in the sky".
Usually I would think of you tracking right-ascention and declination from a particular lat/long position on the Earth... but you may just be interested in tracking the spherical-polar coordinates from the center of the earth.

The web page you cite uses "minutes" for time but not for angles - it's pretty good at explaining which bit has what units.
The EoT formual gives the EoT in minutes ... but the angle B, as the following text explains, is in degrees.

In general a description "the equation gives X (in y)" tells you that the equation for X is formulated so that it comes out in units of y.
You can usually tell from the units in the body of the equation.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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