How do you calculate the surface temperature of a planet?
To find the effective (blackbody) temperature of a planet, it can be calculated by equating the power received by the planet to the known power emitted by a blackbody of temperature T. Take the case of a planet at a distance D from the star, of luminosity L. is the Stefan–Boltzmann constant.
How do you find the equilibrium surface temperature of a planet?
However, when the planet is rotating rapidly, or has a substantial atmosphere, the redistribution of energy must be taken into account. When this is done, one gets the equilibrium blackbody temperature: Teq = 279 (1 – A)1/4(rp)-1/2 K, (rp= distance from Sun to planet, in AU).
How do you measure the temperature of a solar surface?
Temperature on the surface of the sun calculated with the Stefan-Boltzmann-rule
- σ=5.67∗10−8Wm2K4 (Stefan-Boltzmann constant)
- D=1.496∗1011m (Earth-Sun average distance)
- R=6.963∗108m (radius of the Sun)
- (Wikipedia gives 5777K because the radius was rounded to 6.96∗108m)
What planets surface temperature?
The mean temperatures of planets in our solar system are:
- Mercury – 333°F (167°C)
- Venus – 867°F (464°C)
- Earth – 59°F (15°C)
- Mars – Minus 85°F (-65°C)
- Jupiter – Minus 166°F (-110°C)
- Saturn – Minus 220°F (-140°C)
- Uranus – Minus 320°F (-195°C)
- Neptune – Minus 330°F (-200°C)
How is the surface temperature of Mars calculated?
At its average distance from the Sun, the surface of Mars absorbs solar radiation at the rate of 0.66 cal/cm2/min (p. 66). Hence, in the equation given above, E may be set equal to 0.66. The value of T is then found to be 299° K; that is, 299°-273° = 26° C (or 79° F).
How do you measure the surface temperature of a star?
To get a stellar temperature:
- Measure the brightness of a star through two filters and compare the ratio of red to blue light.
- Compare to the spectra of computer models of stellar spectra of different temperature and develop an accurate color-temperature relation.
What is the surface temperature of sun as calculated by Stefan’s law?
2. The Sun: The temperature of the Sun’s photosphere is 5800 K and its radius is 7 x 1010 cm. So the Stefan-Boltzmann Law gives a luminosity L = 4 x 1033 erg s-1 = 4 x 1026 Watts.
How is the surface temperature of Venus calculated?
Let’s try this for Venus. Putting in the numbers (a=0.6, Tsun=5770K, Rsun=7×105 km, D=0.72 AU) we get the equilibrium temperature of Venus = 260 K. The surface temperature of Venus = 740 K. Whoa!
What influences the temperature of a planet’s surface?
On global scales, three things can affect this energy flow and therefore, the average global surface temperature. As shown in the figure below, they are the planet’s distance from the Sun, the planet’s surface reflectivity (albedo), and the planet’s atmosphere (through a process called the greenhouse effect).
How do you find the surface temperature of a star with a wavelength?
Find the peak wavelength of a solar spectrum. It’s approximately λmax = 501.7 nm (or 5.017 * 10⁻⁷ m in the scientific notation). Transform the Wien’s law formula to obtain the temperature: T = b / λmax = 2.8977719 mm * K / 501.7 nm = 5776 K .
How do we estimate the surface temperature of a star quizlet?
The way astronomers determine the surface temperature of a star which is determined by the spectral lines present in a stars spectrum.
What is the primary factor determining planet temperature?
Distance from the Sun — the average distance of a planet from the Sun (the semi-major axis of its orbit) is overwhelmingly the most important factor in determining its average temperature.
What are the four factors that affect the surface of planets?
Distance, gravity, atmospheric conditions (extremely low or extremely high atmospheric pressure) and unknown factors make exploration both costly and risky. This necessitates the space probes for early exploration of planetary surfaces.
How do you calculate the surface temperature of a rotating planet?
β = 150 days*gr*oC/rotation*cal – is the Rotating Planet Surface Solar Irradiation Absorbing-Emitting Universal Law constant. The Planet Without-Atmosphere Mean Surface Temperature Equation is also based on the radiative equilibrium and on the Stefan-Boltzmann Law.
How do you find the equilibrium temperature of a planet?
To find the equilibrium temperature of such a planet, it may be useful to approximate the host star’s radiation as a blackbody as well, such that: where the flux has been multiplied by the surface area of the star.
What is the planet without atmosphere mean surface temperature equation?
The Planet Without-Atmosphere Mean Surface Temperature Equation is also based on the radiative equilibrium and on the Stefan-Boltzmann Law. The Equation is being completed by adding to the incomplete Te equation the new parameters Φ, N, cp and the constant β.
What is the equilibrium surface temperature of an airless planet?
On airless bodies, the lack of any significant greenhouse effect allows equilibrium temperatures to approach mean surface temperatures, as on Mars, where the equilibrium temperature is 210 K and the mean surface temperature of emission is 215 K.