Field calculators

Seven answers,
one setup.

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Your setup

Set this once.

5.93 µm

35.6 × 23.8 mm · 6000 × 4000 px · crop 1.01×

Telescopes: use the focal ratio, which is focal length divided by aperture diameter.

Pixel pitch here is derived from published sensor dimensions and pixel counts, so it can differ by a hundredth of a micron from a manufacturer figure. If you are chasing the last fraction of a second, check your manual.

Untracked shutter

How long before stars trail.

NPF
Stars near the celestial equator move fastest. Near the pole they barely move, which is why Polaris sits still in a star-trail frame.
NPF, default11.5s
NPF, strict8.0s
500 rule20.6s
300 rule12.4s

The old 500 rule ignores your sensor entirely, which is why it looks fine on a 12-megapixel camera and produces obvious trailing on a 60-megapixel one. NPF accounts for aperture and pixel pitch. Use the strict column if you print large or pixel-peep. Formula reference: PetaPixel / Frédéric Michaud, SAF

Framing

Will it fit?

73.13° × 52.75°
73.13° wideM31
Target fills4%
of the long edge178' × 63'
Suggested focal300mm

Very wide. The target becomes a detail in a landscape or a star field rather than the subject.

Sampling

Arcseconds per pixel.

50.99
Plate scale50.99″/px
Frame width73.13°

Heavily undersampled. Stars will look blocky and small targets will not resolve. Consider drizzle if you dither well.

Calculated as 206.265 × pixel pitch in microns ÷ focal length in millimetres. Typical amateur seeing sits around 2 to 4 arcseconds, so sampling much finer than that mostly records atmosphere.

Integration

What the stack buys.

2.0h
Total integration2h 00m
Noise improvement7.7×
Equivalent3.0 stops

Signal to noise improves with the square root of frame count, so going from 60 frames to 120 buys you about 1.4 times better noise, not twice. Doubling perceived quality usually means roughly quadrupling the hours. This is the single most useful thing to internalise before buying anything.

Condensation

Dew margin.

MONITOR
Dew point4.4°C
Margin3.6°

Glass radiates heat to the sky and drops below air temperature, so dew forms on your front element before the margin actually reaches zero. Start gentle heat while you still have three degrees in hand, not after the frames go soft.

Star trails

Arc length.

15.0°
Sky rotation15.0°
Quarter circle6h 00m
Full circle23h 56m

The sky turns 15.04 degrees an hour. A recognisable arc needs at least 15 to 20 degrees, so plan an hour minimum. Shoot a continuous sequence of short frames rather than one enormous exposure: it protects against a plane, a car, or a satellite ruining the entire night.

Foreground focus

Hyperfocal distance.

7.2 m
Hyperfocal7.2 m
Near limit3.6 m

Focused at the hyperfocal distance, everything from about half that distance to infinity holds acceptable sharpness. In practice, nail focus on a bright star first and check the corners.

Circle of confusion here is the sensor diagonal divided by 1500, which is stricter than the traditional 1/1730 print standard and closer to what a modern screen reveals.