Astronomy mosaic coverage calculator

Calculate columns and rows with your own figures.

Your numbers

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

Use columns and rows to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Target width (degrees)
5
Target height (degrees)
3
Panel width (degrees)
2
Panel height (degrees)
1.5
Overlap fraction
0.2
Columns
3
Rows
3
Total panels
9
Covered width (degrees)
5.2
Covered height (degrees)
3.9

Try another scenario

Target width (degrees)
5.5
Target height (degrees)
3
Panel width (degrees)
2
Panel height (degrees)
1.5
Overlap fraction
0.2
Columns
4
Rows
3
Total panels
12
Covered width (degrees)
6.8
Covered height (degrees)
3.9
Calculation method

Calculation method

Columns

n=max(1,ceil((target-panel)/(panel(1-overlap)))+1) along each axis.

Rows

n=max(1,ceil((target-panel)/(panel(1-overlap)))+1) along each axis.

Total panels

n=max(1,ceil((target-panel)/(panel(1-overlap)))+1) along each axis.

Covered width (degrees)

n=max(1,ceil((target-panel)/(panel(1-overlap)))+1) along each axis.

Covered height (degrees)

n=max(1,ceil((target-panel)/(panel(1-overlap)))+1) along each axis.

Symbols and units
a
Target width (degrees)
b
Target height (degrees)
c
Panel width (degrees)
d
Panel height (degrees)
e
Overlap fraction

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

  • Rectangular fixed-orientation small-field mosaic; no spherical projection or rotation correction. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Rectangular fixed-orientation small-field mosaic; no spherical projection or rotation correction.
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