The Walden Effect: Farming, simple living, permaculture, and invention.

Sun angle math

Calculating your sun
angleOne of the reasons I'm plugging along with Will Hooker's permaculture videos even though I know most of the information is that I want to fill in any obvious gaps in my scattered, homeschooled education.  So I was thrilled to have sun angles finally explained to me in a manner I could understand in lecture 6.

I've posted previously about the science behind sun angles, but the math has always eluded me.  Luckily, Hooker broke it down into simple arithmetic.  All you have to do to find the height of the sun above the horizon at the equinoxes is to subtract your latitude from 90 degrees --- so, the equinox sun is 54 degrees above the horizon at a latitude of 36 degrees.  Since the sun angle at the equinox splits the difference between summer and winter sun angles, people often use this figure to calculate the tilt of their solar panels.  If you want to have the sun's rays striking a solar panel perpendicularly at the equinox, just tilt the panel the same number of degrees as your latitude --- 36.8 degrees here.  If you want a bit more efficiency from your panels in the winter, tilt the panel a bit steeper; for a bit more energy in the summer, tilt the panel more shallowly.

Sun angle and overhang depthIn order to figure out the sun angle at the summer and winter solstice, you need to understand that the earth is tilted at an angle of 23.5 degrees.  (This is what gives us seasons.)  At the summer solstice, you add the earth's tilt to the equinox's angle --- so Will Hooker's sun angle at the summer solstice is 77.5 degrees (and ours is 76.7).  At the winter solstice, you subtract the tilt of the earth, so for us the sun angle at the winter solstice is 29.7 degrees.  These two sun angles are what you need to determine overhang depths for passive-solar structures.

This information is just what we needed as we plan more energy-saving trailer retrofits!

Permaculture Chicken: Pasture Basics walks you through rotational grazing from a chicken's perspective.


Join the Walden Effect!

Download a free copy of Small-Scale No-Till Gardening Basics when you subscribe to our behind-the-scenes newsletter.

Anna Hess's books
Want more in-depth information? Browse through our books.

Or explore more posts by date or by subject.

About us: Anna Hess and Mark Hamilton spent over a decade living self-sufficiently in the mountains of Virginia before moving north to start over from scratch in the foothills of Ohio. They've experimented with permaculture, no-till gardening, trailersteading, home-based microbusinesses and much more, writing about their adventures in both blogs and books.



Want to be notified when new comments are posted on this page? Click on the RSS button after you add a comment to subscribe to the comment feed, or simply check the box beside "email replies to me" while writing your comment.






profile counter myspace



Powered by Branchable Wiki Hosting.

Required disclosures:

As an Amazon Associate, I earn a few pennies every time you buy something using one of my affiliate links. Don't worry, though --- I only recommend products I thoroughly stand behind!

Also, this site has Google ads on it. Third party vendors, including Google, use cookies to serve ads based on a user's prior visits to a website. Google's use of advertising cookies enables it and its partners to serve ads to users based on their visit to various sites. You can opt out of personalized advertising by visiting this site.