Stargazing How to estimate distance by a telescope

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Estimating distance using a telescope involves understanding the size of the target object and its appearance through the telescope, which is influenced by the telescope's magnification. Historical navigation relied on this principle, allowing sailors to gauge distances to other boats based on known sizes. Instruments like surveyors' theodolites utilize calibrated marks for distance estimation, known as stadia marks, while tacheometers provide precise horizontal and vertical measurements. The discussion also touches on the curve that relates target viewing size to distance, with examples from rifle scopes and golf scopes illustrating practical applications. Understanding these concepts enhances distance estimation accuracy in various fields.
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Guys

I don't know if people could estimate distance to a target object by looking through a telescope. I believe telescopes for this kind use must be calibrated some how. When the time people sailed in the ocean and when they spotted another boat by the telescope, how did they tell the distance?

thanks
 
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Well, if you know how big a boat is, and you know how big it looks in a telescope... combining that with the magnification of the telescope tells you how far away it is.

Maybe I'm unclear on what you're asking.
 
Many instruments, such as the telescopes in surveyors' theodolites possesses calibrated marks which give a distance factor of 100 when a staff or ruler is viewed. These are called stadia marks.

http://en.wikipedia.org/wiki/Stadiametric_rangefinding

Surveyors also use dedicated instruments which can provide both horizontal and vertical measurement by this means. these are special theodolites, called tacheometers.

http://en.wikipedia.org/wiki/Tacheometry

go well
 
Some rifle scopes have calibrated reticles (typically with spacing conforming to the body size of a deer or similar) to help with aiming (elevation). Golfers have scopes calibrated to standard flag-pin heights so that golfers can estimate the distance to the hole and make their club selections. These are forbidden in pro golf so golfers have to rely on their caddies' notes and experience instead.
 
3I/ATLAS, also known as C/2025 N1 (ATLAS) and formerly designated as A11pl3Z, is an iinterstellar comet. It was discovered by the Asteroid Terrestrial-impact Last Alert System (ATLAS) station at Río Hurtado, Chile on 1 July 2025. Note: it was mentioned (as A11pl3Z) by DaveE in a new member's introductory thread. https://www.physicsforums.com/threads/brian-cox-lead-me-here.1081670/post-7274146 https://earthsky.org/space/new-interstellar-object-candidate-heading-toward-the-sun-a11pl3z/ One...

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