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Why stars trail
Earth turns once a day, and that spin carries your camera with it. During a long exposure the stars drift across the sensor, and a point of light smears into a short line. The longer the exposure and the longer the lens, the longer the trail. That is why a 10 second shot at 24 mm can look perfectly sharp while the same 10 seconds at 200 mm shows obvious streaks. Astrophotography without a tracker is a race between collecting enough light and stopping before the stars move too far, and this calculator tells you where that limit sits for your camera and lens.
The tool gives you three answers, not one, because photographers disagree about what counts as sharp. The rule of 500 is the old, generous limit. The rule of 300 is stricter and suits large prints and pixel-peeping. The NPF rule is the most careful of all, because it includes your lens aperture and your sensor’s pixel size, which the other two rules ignore.
How the rules work
The rule of 500 divides 500 by the effective focal length. A 24 mm lens on a full-frame camera gives about 21 seconds, while the same lens on an APS-C camera with a 1.5x crop behaves like 36 mm and gives about 14 seconds. The rule of 300 does the same with 300 instead of 500, giving 12.5 seconds for the 24 mm full-frame case. These rules are quick and easy, but they ignore how big your pixels are. A modern high-resolution sensor has tiny pixels, so a trail that was hidden on an old 12 megapixel camera is plainly visible now, which is why many photographers find the rule of 500 too generous today.
The NPF rule fixes that gap. It takes the aperture and the pixel pitch in microns and divides by the focal length: (35 times aperture plus 30 times pixel pitch) divided by focal length. For a 24 mm lens at f/2.8 with 5.9 micron pixels, that gives about 11.5 seconds, noticeably shorter than the rule of 500. Declination matters too: stars near the celestial equator move fastest across the sky, while stars near the pole crawl, so the same lens can expose longer on the North Star region than on Orion.
A worked example
Take a 24 mm lens at f/2.8 on a full-frame camera with 5.9 micron pixels, pointed at the equator. The rule of 500 says 20.8 seconds, the rule of 300 says 12.5 seconds, and the NPF rule says 11.5 seconds. If you shoot at 20 seconds, your stars will look fine on a phone screen and slightly trailed on a big monitor. If you shoot at 11 seconds and take more frames to stack, the stars stay round and the stacked result is cleaner. Point the same setup near the celestial pole, at 60 degrees declination, and the declination-adjusted 500 value stretches past 40 seconds, because polar stars barely move.
That example shows the real workflow for untracked shooting: short, sharp frames, lots of them, combined later by stacking. One 20 second frame at high ISO is noisier and softer than ten 11 second frames stacked together, and stacking is free. The calculator’s recommended value is the shortest of the rules, which is the safe starting point. Test it, zoom into a star at 100 percent, and only lengthen the exposure if the stars still look round.
Tips for sharper untracked shots
- Use the widest aperture your lens allows, but stop down one stop if the corners look soft wide open.
- Focus on a bright star with live view zoomed in, then tape the focus ring so it cannot drift.
- Turn off image stabilisation on a tripod, because it can add its own small movements.
- Shoot more frames than you think you need. Stacking forgives noise, but it cannot fix trailed stars.
- Keep the target high in the sky. Low targets suffer more air turbulence and light pollution.
When you need a tracker
These rules have a hard ceiling. Beyond about 30 seconds at wide angles, or a few seconds at long focal lengths, no rule saves you, because the sky simply moves too far. That is when a star tracker earns its money: it turns the camera at the same rate as Earth, so exposures of minutes become possible and faint nebulae appear.
Frequently asked questions
Why do my stars trail even under the rule of 500? Usually because your pixels are smaller than the cameras the rule was made for, or because you are pixel-peeping at 100 percent. Try the NPF value instead, which accounts for pixel size.
Does crop factor really change the limit? Yes. A crop sensor uses the middle of the image circle, so the same lens behaves like a longer one, and the stars cross its smaller pixels faster in angular terms. Always enter the crop factor.
What pixel pitch does my camera have? Divide the sensor width in millimetres by the horizontal pixel count, then multiply by 1000. Camera review sites usually list it directly, and the calculator’s default of 5.9 microns suits many full-frame cameras.
Use the calculator above before your next night out: enter your real lens and camera numbers, start at the recommended exposure, and let short sharp frames, stacked together, do the work that one long trailed frame cannot.
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