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Solar Geometry Concepts
Solar Access Principles
Solar geometry is used to assure a site
has solar access to the Sun's energy.
A site that has proper solar access will not be
shaded by neighboring buildings or trees.
This web page explains solar geometry concepts.
These concepts are important when using
the Visual Sun Chart program.
For information about Visual Sun Chart,
see: www.VisualSunChart.com
Solar Altitude and Azimuth Angles
The Sun's position in the sky is defined by two angles.
The Solar Altitude angle is the vertical angle up from the horizon.
The Azimuth is the horizontal rotation angle
from Due South (in the Northern Hemisphere)
or from Due North (in the Southern Hemisphere).
The Altitude is zero when the Sun is on the horizon.
It is 90 degrees when the Sun is directly overhead.
In most places the Sun will never be directly overhead.
That only happens in the tropics. When the Sun's altitude is
lower, its path through the atmosphere is longer, causing
some reflection and dispersal (weakening of the solar beam
energy that arrives to earth).
Solar Incidence Angle
The Solar Incidence Angle is the angle
between the Sun's rays and an imaginary
line perpendicular to a collector's surface
(this imaginary line is called the surface normal).
An incidence angle of 0 means the Sun's rays
are perpendicular to the collector surface,
and an incidence angle of 90 means the Sun's
rays are parallel to the collector surface.
Maximum solar gain for a given intensity of sunlight
is achieved when the incidence angle is zero, that is
when the Sun's rays are perpendicular to the surface.
This is because the cross section of light is not
spread out, and also because surfaces reflect more
light when the light rays are not perpendicular to
the surface.
The light beam cross section can be visualized
with a flashlight:
Flashlight Beam Analogy
The more perpendicular a flashlight beam is to a wall,
the brighter the beam on the wall, and the less area the beam covers.

from Protecting Solar Access For Residential Development:
A Guidebook for Planners (HUD-PDR-445, May 1979)
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While a smaller incidence angle means more gain for a given
sunlight intensity, remember that at low solar altitudes the sunlight's
path through the atmosphere greatly diminishes the sunlight intensity.
Therefore, a low incidence angle (Sun rays perpendicular to surface)
does not guarantee high gain. For example, a vertical window
could have much more solar gain with a high
incidence angle than when the Sun is lower in the sky.
At a given time, similar surfaces may have different solar gain
depending on the solar incidence angle of each surface:
Solar Radiation on Slope

Area of ground receiving the ray on flat ground (B)
is larger than area on Sun-facing slope (A).
Thus more energy is received per unit area on the slope.
from HUD-PDR-445
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Shadows are also smaller on this slope, allowing
more area to receive solar energy:
Shadow Length on Slope

Shadow cast by tree on flat ground (B)
is longer than the one cast by same tree on slope (A).
from HUD-PDR-445
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Solar Skyspace
HUD defined the solar skyspace as follows:
Solar angles (azimuth and alitude) define skyspace,
which is the portion of the sky that a collector must
see to perform effectively. It is this skyspace that
must be protected from shading by trees, buildings,
or other obstructions.
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The skyspace is measured in azimuth and altitude.
Depending on the application, a general recommendation for latitudes of 40 degrees or less
can be a skyspace of 45 degrees azimuth east, and 45 degrees azimuth west:
Solar Skyspace
Plan View:

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Solar Skyspace
Isometric View:
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from HUD-PDR-445
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The altitude depends on the seasonal use.
Here are some general recommendations:
Hot Water Heating:
Year-round -- use lowest winter and highest summer altitude
to determine skyspace.
Space Heating:
Heating season only -- use lowest winter and medium spring/fall
altitude to determine skyspace.
Air Conditioning:
Cooling season only -- use medium spring/fall and highest
summer altitude to determine skyspace.
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Use Visual Sun Chart
to make sure proposed buildings and structures
do not interfere with the collector's required skyspace.
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