Imaging a target larger than your sensor’s field of view means shooting a mosaic — a grid of overlapping panels stitched into one frame. This planner computes your single-frame field of view from the sensor and focal length, then works out how many columns, rows, and total panels you need to cover the target with your chosen overlap.
How it works
Field of view for each sensor axis is found by trigonometry, then each panel’s effective coverage is reduced by the overlap so adjacent frames share a margin:
FOV_deg = 2 × atan(sensor_mm / (2 × focal_mm)) × 180/π
effective_FOV = FOV_deg × (1 − overlap_fraction)
columns = ceil(target_width_deg / effective_FOV_width)
rows = ceil(target_height_deg / effective_FOV_height)
panels = columns × rows
The arctangent form stays accurate even for wide-field optics where the simple small-angle approximation drifts.
Example and tips
A full-frame 36 × 24 mm sensor at 500 mm focal length yields a field of view of
about 4.1 × 2.7 degrees. Covering a 6 × 4 degree region with 20 percent overlap
needs effective panels of roughly 3.3 × 2.2 degrees, giving ceil(6/3.3)=2
columns and ceil(4/2.2)=2 rows — a 2 × 2, four-panel mosaic. Add margin to your
target size so stars do not crowd the edges, and keep overlap consistent so the
stitching software has reliable registration stars between every panel.