Color of the Sky

The answer to this depends on surprisingly few factors. In fact, the only things you will need to consider are your atmospheric depth and your sun's output spectrum.The blue is predominantly caused by Rayleigh Scattering, which is the deflection of electromagnetic waves as they travel through a medium of dipoles. To get the correct color, you draw a ray from the observer out into space. At each point along this line, you determine the intensity of the light hitting that point. The intensity of Rayleigh scattering is defined by the equation:$$ I I_0 frac 1cos^2 theta 2 R^2 left( frac 2 pi lambda right)^4 left( frac n^2-1 n^22 right)^2 left( fracd2 right)^6$$Where R is the distance to the particle, theta is the scattering angle, lambda is the wavelength, n is the refractive index, and d is the diameter of the particle.

Of course, none of these are dependent on your medium except n, the refractive index, which will be roughly the same for your planet's atmosphere as is Earth's air.What this means is that the effect of Rayleigh Scattering is going to be pretty much the same as you see on Earth. (There's Mie scattering as well, but Rayleigh dominates). The only difference will be the atmospheric depth, which affects the path lengths you will be integrating along (both the path length from sun to particle and path length from particle to ground observer).The will, of course, also be dependent on the star you choose. However, since the star you chose is really close to that of the sun, you should expect almost perfectly earth-like behaviors. The only difference will be from that path length difference. I believe that the result will be a darker blue with less scattering.And, since you asked for a "shade" of blue and this scattering effect is multispectral, we can collapse it into a single shade as viewed by a human using the CIE standard observer.

This question asks for hard science. All answers to this question should be backed up by equations, empirical evidence, scientific papers, other citations, etc. Answers that do not satisfy this requirement might be removed. See the tag description for more information.

I know the default will be blue, but just HOW blue, i.e., wavelength in nanometers? I have a world with the following stats:

Radius: 4628 km.

Mass: .35 Earth (2,09076 x 10^24 kg).

Atmospheric Density: .88 Earths.

Scale height: 14.63 km.

Atm. Composition:

N2: 72%

O2: 19.6%

CH4 (Methane): .04%

CO2: .02%

Ar: 8.34%

Plus trace like ozone, water vapor, etc.

Temperature: 299 K (25,85 C)

Solar Insolation: 1.04 (relative to Earth)

It orbits a G3V star:

Temperature 5,756 K (5,482,85 C)

Peak radiation: 503 nm.

What would be the formula for calculating the exact shade of blue? What factors do I need to keep in mind?

·OTHER ANSWER:

This question asks for hard science. All answers to this question should be backed up by equations, empirical evidence, scientific papers, other citations, etc. Answers that do not satisfy this requirement might be removed. See the tag description for more information.

I know the default will be blue, but just HOW blue, i.e., wavelength in nanometers? I have a world with the following stats:

Radius: 4628 km.

Mass: .35 Earth (2,09076 x 10^24 kg).

Atmospheric Density: .88 Earths.

Scale height: 14.63 km.

Atm. Composition:

N2: 72%

O2: 19.6%

CH4 (Methane): .04%

CO2: .02%

Ar: 8.34%

Plus trace like ozone, water vapor, etc.

Temperature: 299 K (25,85 C)

Solar Insolation: 1.04 (relative to Earth)

It orbits a G3V star:

Temperature 5,756 K (5,482,85 C)

Peak radiation: 503 nm.

What would be the formula for calculating the exact shade of blue? What factors do I need to keep in mind?

Color of the Sky 1

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