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atmospheric refraction. Children's Science Lab

Children's Science Lab

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atmospheric refraction called the deviation of light rays from a straight line when they pass through the atmosphere due to changes in air density with height. Atmospheric refraction near the earth's surface creates mirages and can cause distant objects to appear flickering, trembling, above or below their true position. In addition, the shape of objects may be distorted - they may appear flattened or stretched. Term "refraction" The same applies to the refraction of sound.

atmospheric refraction is the reason that astronomical objects rise above the horizon somewhat higher than they actually are. Refraction affects not only light rays but all electromagnetic radiation, although to varying degrees. For example, in visible light, blue is more susceptible to refraction than red. This can cause astronomical objects to appear in a spectrum in high resolution images.

Whenever possible, astronomers plan their observations when the celestial body passes the upper culmination point, when it is highest above the horizon. Also, when determining the coordinates of the vessel, sailors will never use a luminary whose height is less than 20 ° above the horizon. If the observation of a star close to the horizon cannot be avoided, then the telescope can be equipped with control systems to compensate for the displacement caused by the refraction of light in the atmosphere. If dispersion is also a problem (in the case of using a broadband camera for high resolution observations), then atmospheric refraction correction can be used (using a pair of rotating glass prisms). But since the degree of atmospheric refraction depends on temperature and pressure, as well as humidity (the amount of water vapor, which is especially important when observing in the middle of the infrared region of the spectrum), the amount of effort required to successfully compensate can be prohibitive.

atmospheric refraction interferes with observations most when it is not homogeneous, such as when there is turbulence in the air. This causes the stars to twinkle and distort the apparent shape of the sun at sunset and sunrise.

Atmospheric refraction values

atmospheric refraction equal to zero at the zenith, less than 1' (one minute of arc) at an apparent height of 45° above the horizon, and reach a value of 5,3' at 10° height; refraction increases rapidly with decreasing altitude, reaching 9,9' at 5° altitude, 18,4' at 2° altitude, and 35,4' at the horizon (1976 Allen, 125); all values ​​obtained at 10°C and atmospheric pressure 101,3 kPa.

At the horizon, the amount of atmospheric refraction is slightly greater than the apparent diameter of the Sun. Therefore, when the full disk of the sun is visible just above the horizon, it is visible only due to refraction, since if there were no atmosphere, then not a single part of the solar disk would be visible.

In accordance with the accepted convention, the time of sunrise and sunset is attributed to the time when the upper edge of the Sun appears or disappears above the horizon; the standard value for the true altitude of the Sun is -50'...-34' for refraction and -16' for the half diameter of the Sun (height of a celestial body is usually given for the center of its disk). In the case of the Moon, additional corrections are needed to take into account the horizontal parallax of the Moon and its apparent half-diameter, which varies with the distance of the Earth-Moon system.

Daily weather changes affect the exact time of sunrise and sunset of the sun and moon (see the article "Refraction at the horizon"), and for this reason it makes no sense to give the time of apparent sunset and sunrise with an accuracy greater than a minute of arc (this is described in more detail in Astronomical Algorithms, Jean Meeus, 1991, p. 103). More accurate calculations may be useful in determining day-to-day variations in sunrise and sunset times using standard refractivity values, since it is understood that actual changes may differ due to unpredictable changes in refractivity.

Because of atmospheric refraction is 34' at the horizon, and only 29 minutes of arc at 0,5° above the horizon, at sunset or sunrise it appears to be flattened by about 5' (which is about 1/6 of its apparent diameter).

Calculation of atmospheric refraction

A rigorous calculation of refraction requires numerical integration using this method described in the paper by Auer and Standish Astronomical refraction: calculation for all zenith angles, 2000. Bennett (1982) in his article "Calculation of astronomical refraction for marine navigation applications" derived a simple empirical formula for determining the magnitude of refraction as a function of the apparent height of luminaries, using the algorithm of Garfinkel (1967) as a reference , If ha - this is the apparent height of the luminary in degrees, then the refraction R in arc minutes will be equal to

the accuracy of the formula is up to 0,07' for heights from 0° to -90° (Meeus 1991, 102). Smardson (1986) developed a formula for determining the refraction relative to the true height of the stars; If h is the true height of the star in degrees, then the refraction R in arc minutes is

the formula agrees with the Bennett formula to within 0.1'. Both formulas will be true at an atmospheric pressure of 101,0 kPa and a temperature of 10 ° C; for different pressures Р and temperature Т the result of the calculation of refraction, made according to these formulas, should be multiplied by

(according to Meeus, 1991, 103). The refraction increases by about 1% for every 0,9 kPa increase in pressure and decreases by about 1% for every 0,9 kPa decrease in pressure. Similarly, refraction increases by about 1% for every 3°C decrease in temperature, and refraction decreases by about 1% for every 3°C rise in temperature.


Plot of refraction magnitude versus height (Bennett, 1982)

Random atmospheric effects caused by refraction

Atmospheric turbulence increases and decreases the apparent brightness of stars, making them brighter or fainter in milliseconds. The slow components of these oscillations are visible to us as flicker.

In addition, turbulence causes small random movements in the visible image of the star, and also produces rapid changes in its structure. These effects are not visible to the naked eye, but are easy to see even with a small telescope.

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