$sigma=5.67*10^-8fracWm^2K^4$ (Stefan-Boltzmann constant)
$S = 1367fracWm^2$ (solar constant)
$D = 1.496*10^11 m$ (Earth-Sun median distance)
$R = 6.963*10^8 m$ (radius the the Sun)
$T = (fracPsigma A)^frac14 = (fracS4 pi D^2sigma 4pi R^2)^frac14=(fracSD^2sigma R^2)^frac14 = 5775.8 K$
(Wikipedia provides 5777K because the radius to be rounded come $6.96*10^8m$)
This calculate is perfectly clear.
You are watching: How do you measure the temperature of the sun
But in Gerthsen Kneser Vogel there is an exercise wherein Sherlock Holmes estimated the temperature of the sun only knowing the root of the portion of D and also R. Allows say, he estimated this portion to 225, so the square source is about 15, exactly how does he involved 6000 K ? The value $(fracSsigma)^frac14$ has around the worth 400. It cannot be the approximate mean temperature on earth, i m sorry is about 300K. What perform I miss ?
astrodearteassociazione.org temperature blackbody order-of-magnitude estimate
improve this question
edited Nov 14 "14 in ~ 14:10
2,85222 gold badges1919 silver- badges3737 bronze badges
asked might 29 "14 at 22:20
33522 yellow badges33 silver badges1111 bronze badges
add a comment |
2 answers 2
active earliest Votes
The partnership of temperature in between a planet and also a star based on a radiative power balance is provided by the adhering to equation (from Wikipedia):
$T_p = temperature of the planet$ $T_s = temperature of the star$ $R_s = radius of the star$ $alpha = albedo of the planet$ $epsilon = average emissivity of the planet$ $D = distance between star and planet$
Therefore if Sherlock to know $sqrtfracR_sD = 0.06818$ and can estimate the Earth"s temperature $T_p$ as well as $alpha$ and also $epsilon$ climate he have the right to calculate the temperature top top the surface of the sun which is the unknown variable $T_s$.
Both $alpha$ and $epsilon$ have true values between zero and one. Speak Sherlock assumed $alpha = 0.5$ and $epsilon = 1$ (perfect blackbody). Estimating the temperature of the planet $T_p$ to it is in 270 K and also plugging in every the numbers us have:
Which is really near the true typical temperature that the surface ar of the sun, 5870 K. Case closed!
improve this answer
edited Jul 14 "15 at 14:15
answered Nov 14 "14 at 6:10
2,85222 yellow badges1919 silver- badges3737 bronze badges
add a comment |
A stormy estimate of a body"s temperature in the solar mechanism is $$T=frac280KsqrtD_AU$$if us calculate the AU fraction from the Sun"s "edge" come its center, R end D = $4.65x10^-3$, and also substitute this right into the formula, the Sun"s temperature would be around 4100K.Not an extremely close to her 5776 K, however utilizes the square source of the R D fraction.
The formula reflects efficient temperatures. Yet peak, so called sub-solar temperatures, room $sqrt2$ times effective temperatures, which would certainly yield about 5800K.Clever Sherlock!
boost this answer
edited might 30 "14 in ~ 10:32
answered may 29 "14 in ~ 23:39
Michael LuciukMichael Luciuk
5,64633 yellow badges2525 silver badges3838 bronze badges
| present 1 much more comment
Thanks because that contributing an answer to dearteassociazione.org stack Exchange!Please be certain to answer the question. Administer details and also share her research!
But avoid …Asking for help, clarification, or responding to various other answers.Making statements based on opinion; back them up with referrals or an individual experience.
Use MathJax to layout equations. MathJax reference.
To find out more, view our advice on writing great answers.
See more: Once In A Lifetime Poem By Danielle Steel, Love: Poems
Sign increase or log in in
sign up using Google
authorize up making use of Facebook
sign up using Email and Password
Post as a guest
email Required, but never shown
Post as a guest
Required, however never shown
post Your answer Discard
Not the price you're looking for? Browse various other questions tagged astrodearteassociazione.org temperature blackbody order-of-magnitude estimation or questioning your very own question.
The Overflow Blog
Featured ~ above Meta
Temperature that the sun via Stefan-Boltzmann law
Why have the right to the surface ar temperature of a star it is in calculated using the Stefan–Boltzmann law?
Calculating the surface ar Temperature that the sun with a Metallic piece from the surface ar of Earth
Simplified formula for temperature in between the star and background temperature
Calculating the surface ar Temperature the the sunlight with a Metallic piece from the surface ar of earth
Temperature that a round heating up in the sunlight (average emissivity that the ball unknown)
What identify the surface temperature the the sun?
Shouldn't $CO_2$ forcing count on the surface temperature?
Why does this straightforward equation predict the Venus surface ar temperature therefore accurately?
The temperature of the surface of the sunlight
Why have the right to the surface ar temperature of a star it is in calculated making use of the Stefan–Boltzmann law?
warm Network questions more hot questions
subscribe to RSS
inquiry feed To subscribe to this RSS feed, copy and paste this URL into your RSS reader.
ridge Exchange Network
site style / logo © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.27.40585