- #1
writtenword
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Okay, reeling from a defeat in the stellar ring with a self gravitating mass of gas that imploded at a massive temperature when all I wanted it to do was hang around nice and calmly while I put gravitating bodies in it...now I move on to a slightly more conventional model. I do plan to do most of this work myself but I am having a hard time finding the luminosity for various *cough* gas giants *cough*
You know, after a high school career of endless numbers, mindless numbers, numbers that stood for other numbers and finally a more refined and urbane set of numbers in college that still insisted on being truck loads of related figures surrounding everything mathematical and cosmological, I try to find the luminosity of Saturn and OOOohhh no it's not that simple son. No, no we need to talk to you a while about it. Let's talk about internal process resulting in heat and the break down of helium. Where are all my numbers now when I need them? Traitors, I say! ...ahem...anyway.
For instance Sol has a luminosity of 3.846×10^26 W
I read that Saturn radiates 2.5 times what it receives from the sun
I read that the sun radiates to Saturn about 16.7 – 13.4 W/m^2
Lets call it 15 W/m^2
So it (Saturn) radiates 37.5 W/m^2
I read that the habitable zone of a given star is roughly the square root of its luminosity. Now I understand that this equation is the sort of desperate calculation that one might expect to find hanging out in grimy alleys after a stiff rain , its clothes dark with sweat and accumulated math. But I am going to put it forth anyway. Assume all other factors skew in favor of any mass in that zone. And at any rate, I just want to have an idea of where that zone might be given the output of a gas giant. Saturn here is my unwilling co-conspirator in this fantastical ruse so don't hold anything against it.
Is the radiant product of Saturn the same as its luminosity for purposes of calculating a habitable zone?
That's my question. My thanks in advance.
You know, after a high school career of endless numbers, mindless numbers, numbers that stood for other numbers and finally a more refined and urbane set of numbers in college that still insisted on being truck loads of related figures surrounding everything mathematical and cosmological, I try to find the luminosity of Saturn and OOOohhh no it's not that simple son. No, no we need to talk to you a while about it. Let's talk about internal process resulting in heat and the break down of helium. Where are all my numbers now when I need them? Traitors, I say! ...ahem...anyway.
For instance Sol has a luminosity of 3.846×10^26 W
I read that Saturn radiates 2.5 times what it receives from the sun
I read that the sun radiates to Saturn about 16.7 – 13.4 W/m^2
Lets call it 15 W/m^2
So it (Saturn) radiates 37.5 W/m^2
I read that the habitable zone of a given star is roughly the square root of its luminosity. Now I understand that this equation is the sort of desperate calculation that one might expect to find hanging out in grimy alleys after a stiff rain , its clothes dark with sweat and accumulated math. But I am going to put it forth anyway. Assume all other factors skew in favor of any mass in that zone. And at any rate, I just want to have an idea of where that zone might be given the output of a gas giant. Saturn here is my unwilling co-conspirator in this fantastical ruse so don't hold anything against it.
Is the radiant product of Saturn the same as its luminosity for purposes of calculating a habitable zone?
That's my question. My thanks in advance.
