Solar row spacing geometry calculator

Calculate horizontal module projection and down-sun shadow gap with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use horizontal module projection and down-sun shadow gap to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Module slope length (m)
2
Module tilt above horizontal (degrees)
30
Selected solar altitude (degrees)
20
Horizontal gap allowance (m)
0
Horizontal module projection (m)
1.732051
Down-sun shadow gap (m)
2.747477
Row pitch including allowance (m)
4.479528

Try another scenario

Module slope length (m)
3
Module tilt above horizontal (degrees)
30
Selected solar altitude (degrees)
20
Horizontal gap allowance (m)
0
Horizontal module projection (m)
2.598076
Down-sun shadow gap (m)
4.121216
Row pitch including allowance (m)
6.719292
Calculation method

Calculation method

Horizontal module projection (m)

Rows perpendicular to sun azimuth on level ground: pitch=Lcos(tilt)+Lsin(tilt)/tan(altitude)+allowance.

Down-sun shadow gap (m)

Rows perpendicular to sun azimuth on level ground: pitch=Lcos(tilt)+Lsin(tilt)/tan(altitude)+allowance.

Row pitch including allowance (m)

Rows perpendicular to sun azimuth on level ground: pitch=Lcos(tilt)+Lsin(tilt)/tan(altitude)+allowance.

Symbols and units
a
Module slope length (m)
b
Module tilt above horizontal (degrees)
c
Selected solar altitude (degrees)
d
Horizontal gap allowance (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Rows perpendicular to sun azimuth on level ground: pitch=Lcos(tilt)+Lsin(tilt)/tan(altitude)+allowance. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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