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Double Star AstronomyPart 4: Double Star Color
A characteristic and problematic aspect of visual double star astronomy is the fascination with star color. Two stars, narrowly separated, of contrasting magnitude and spectral type this is often the essential description of a "showcase pair."
Unfortunately, this enjoyable aspect of astronomy has been by idiosyncratic color language and a poor understanding of how star color arises and how it is perceived. These three issues must be understood by the astronomer who wants to describe star color reliably.
Color Perception Is Idiosyncratic
The fundamental issue that emerges when two astronomers compare their color impressions is that the color terms used to describe star color do not agree. This is a difficulty recognized by William Herschel at the very beginning of double star astronomy:
Here I must remark, that different eyes may perhaps differ a little in their estimations [of star colors]. I have, for instance, found, that the little star which is near α Herculis, by some to whom I have shewn it has been called green, and by others blue. Nor will this appear extraordinary when we recollect that there are blues and greens which are very often, particularly by candle-light, mistaken for each other. (Preface to Catalogue of Double Stars, 1782)
Even astronomers who are aware of this problem often do not appreciate the extent to which star colors will vary with the observer. To illustrate this variation, we can turn to the testimony of one of the most ardent star color advocates, Sissy Haas, who helpfully quotes historical star color descriptions in her Double Stars for Small Telescopes (Sky Publishing, 2008). Here is a sample:
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| double star | Observer 1 | Observer 2 | Observer 3 |
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| 36/37 Her | pale blue, blue | yellowish white, yellowish peach | |
| ρ Her | azure white, azure white | bluish white, pale emerald | greenish white, greenish |
| μ Her | brilliant orange, ghostly wisp | pale white, purple | |
| μ Her | both pure gold | light apple green, cherry red | |
| ν Dra | both brilliant white | both pale gray | both yellow white |
| ψ Dra | both lemony white | both pearly white | whitish yellow, lilac |
| STF 2248 Dra | white, blue | yellowish, ash | |
| STF 2440 Dra | greenish white, blue | pale yellow, blue | |
| ζ Lyr | both goldish white | topaz, greenish | greenish white, yellow |
| 36 Oph | both citrus orange | ruddy, pale yellow | both golden yellow |
| 61 Oph | both straw yellow | both silvery white | |
| η Ori | straw yellow, silvery yellow | white, purplish | |
| ε Boo | amber yellow, deep blue | pale orange, sea green | |
| 39 Boo | both whitish gold | both white | white, lilac |
| ξ Boo | bright white, vivid gray | orange, purple | yellow, deep orange |
| 44 Boo | both grapefruit orange | pale white, lucid gray | |
| ψ Dra | white, blue | yellowish, ash | |
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These examples come from observers such as T. Webb, Smyth, Olcott and others, and can be multiplied to fill a page.
These examples illustrate two problems: a naive imprecision in the use of color names (such as vivid gray, yellowish peach or silvery green); and a difficulty in recognizing star colors accurately, for example in the confusion between yellow and orange, white and lilac, blue and ash, or gold and cherry red. We can begin to clarify this muddle by looking at the mechanism that creates star color.
The Blackbody Limits of Star Color
Temperature is kinetic energy in atoms motion in a gas, vibration in a solid but when we say that an object is at a certain temperature, we do not mean that every atom in the object has exactly the same kinetic energy. Instead there is a distribution in the energy of the individual atoms that creates an average temperature.
A simple way to evaluate the temperature of an object is to record the photons (quantum units of energy) that the object emits into its less energetic (lower temperature) surroundings. These photons can be very long wavelength, low energy radio waves, moderate energy heat, high energy light, or very short wavelength, very high energy ultraviolet and xrays. This distribution in the photons emitted by a body at a specific temperature is described in quantum theory as an idealized blackbody curve or blackbody flux profile.
This curve has the same basic shape across all temperatures: skewed so that the distribution extends farther from the peak into low energy than into high energy states. But as temperature increases the emitted flux changes in two ways: (1) the overall flux, including the peak of the curve, shifts from lower into higher energy photons, and (2) the total quantity of flux, expressed as the peak radiance in watts, increases in proportion (diagram, below).
The peak radiances of the curves in this diagram have been set to the same height, to show the differences in the shape of the curves. If the curves for 24000K and 1500K were drawn together at their actual peak values, the curve for the 1500K body would be a flat line across the bottom of the graph.
The peak radiance of this generic curve, and therefore its overall shape, is explicitly related to the temperature of the blackbody by Wien's displacement law:
λmax = 2.898 x 103/T[K] meters
which shows that as temperature (the denominator) increases, the peak wavelength is displaced to shorter wavelengths (higher energies). The amount of energy emitted depends on the size of the object, but for comparison, at a temperature of 1500K (Kelvins) the peak flux of a standard object is at a wavelength of around 1930 nm with a radiance of about 30 thousand watts, but at a temperature of 24,000K the peak flux is around 120 nm with a radiance of around 30 billion watts. The invariant rule is, as the temperature of a body increases, its peak emittance is at shorter wavelengths and its total emittance is brighter.
An important detail is that the median of the blackbody curve is at a lower energy than the peak, which means more than half the emitted photons are at energies below the peak value. Infrared (heat) is always powerfully present in radiating bodies.
This blackbody curve describes the energy radiated by any body whose radiation arises from its temperature, which includes the radiation emitted by the photosphere temperature of stars. For example, the Sun, at a surface temperature of 5780K, has its peak flux at about 2.898/5780 x 103 = 0.000000501 meters or 501 nm (blue green).
The change in the peak emittance of a blackbody radiator is evaluated within the narrow range of our light sensitivity, from about 400 nm to 700 nm, indicated in the diagram by the band of spectral hues. At a temperature of 3000K the blackbody curve slopes strongly upward into the red wavelengths, indicating a reddish color. At a temperature of 12,000K the curve slopes upward into the blue wavelengths, indicating a blue color.
We can calculate the visual color associated with a blackbody by means of standard sensitivity curves for the human cones. These calculations reduce the flux profile to a specific hue for every color temperature, illustrated in the table (below).
color temperature for common illuminants and light sources |
| rK° | Spectral Class | color | mnemonic correlated illuminant or light source |
| 1000 | S9 | | lower limit of blackbody curve |
| 1850 | S5 | | candle flame |
| 2000 | S3 | | sunlight at sunrise/sunset (clear sky) |
| 2750 | M8 | | 60W incandescent tungsten light bulb |
| 2860 | M7 | | CIE A: 120W incandescent light bulb |
| 3400 | M2 | | photoflood or reflector flood lamp |
| 3500 | M2 | | direct sunlight one hour after sunrise |
| 4100 | K7 | | CIE F11: triband fluorescent light |
| 4300 | K6 | | morning or afternoon direct sunlight |
| 5000 | K2 | | white flame carbon arc lamp (CIE D50: warm daylight illuminant) |
| 5400 | G8 | | noon summer sunlight |
| 6400 | F6 | | xenon arc lamp |
| 6500 | F5 | | average summer daylight (CIE D65: cool daylight illuminant) |
| 7100 | F1 | | light summer shade |
| 7500 | | |
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