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Shadow length--Algorithm 1.16
This algorithm gives the length L
of shadow cast by a point H metres high above an inclined
surface.
- Input
- Direction cosines of normal to plane (sky point facing plane), n1
n2 n3 (algorithm 6.12)
- Direction cosines of solar azimuth and altitude, c1 c2
c3 (algorithm 1.24)
- Perpendicular height of point above plane, H
- Equation
- Source
- General theory of analytic geometry
- Note
- Algorithm 5.15 can be used to calculate the coordinates of the shadow
point. This is done by taking a line from the tip of the obstruction, in the
direction of the solar beam, to its intersection with the plane. The direction
cosines of the solar beam are -c1 -c2 -c3, the negative
of the cosines of solar altitude and azimuth
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