by BDanielMayfield » Sun Jan 13, 2013 11:10 am
George K wrote:George K wrote:You say, "The number of Sun-like stars with Earth-like planets in Earth-like orbits is surely much less..." but I don't see the logic in that statement. What is counted in this APOD are close-in orbits, which is a restricted set; "Earth-like orbits" (presumably in the "habitable zone") is a different restricted set. How do we know that the number in the first set is fewer than the number in the second? In the solar system at least, there is a lot less space in the first area than the second.
Sorry, I meat to say, How do we know the number in the first set is greater than the number in the second? The second set, planets with Earth-like orbits, are harder to detect with current techniques, so we count fewer of them, but that doesn't mean there are intrinsically fewer of these planets. It's the usual selection-effect issue.
That's very true George. Detecting solar systems like ours is still beyond our abilities, so it's too soon to say that systems like ours are rare, IMO.
ddale51 wrote:Earth is a "Goldilocks" planet. Everything is just right. Just right air. Just right sun. Just right gas giant neighbors. Just right size moon. Just right rotation rate, axial tilt, composition, weather patterns. Just right, well, everything needed to support advanced life. There are nearly countless factors that had to be just right for creatures like us to exist on this planet. Earth is truly a miracle. Who knows? it's conceivable it may be unique in all the cosmos. I believe it was created to be humanity's home. You may disagree of course; but you also have to concede that this beautiful blue marble is a wonder indeed.
I couldn't agree more. Well stated.
BDanielMayfield wrote:Stefan48 wrote:With the talk about other planets and their relative size to earth, my question is - (speaking of size only) on how large of a planet can a human live comfortably? Can we live comfortably, or maybe with minor adjustment needed, live on a planet twice as big as earth? On a planet twice the size of earth, would I weight twice as much, or might I weight 1.5 times as much? Or what would I weigh?
That’s a good question, for while these planets are far too hot, many others have been and will continue to be discovered that have orbits in the “habitable zone” of the stars they orbit. Ignoring cases of rapid rotation, the force that something would feel on the surface of a planet depends on only two factors; the planet’s mass and its radius. The more massive a planet is, the greater the G force would be, but this is somewhat counter-acted by the size of a planet, because this force drops with increasing distance. Therefore you cannot accurately say that we would be twice as heavy on a world that was twice the radius of Earth, nor can this be said if the world is twice the mass of Earth. Both planetary mass and size must be known for surface gravity to be calculated. I don’t remember the exact formula, I’m sure someone will post it soon if they haven’t already done so.
Since no one else supplied the answer I looked it up. The formula for the gravitational force at the surface of a planet is
F=GM/r^2 where G is the gravitation constant, M is the mass of the planet and r is the distance to the planet's center (radius). So the weight of an object on a planet is directly proportional to the planet's mass, but it's inversely proportional to the square of the radius. I hope that helps answer your question Stefan.
[quote="George K"][quote="George K"]You say, "The number of Sun-like stars with Earth-like planets in Earth-like orbits is surely much less..." but I don't see the logic in that statement. What is counted in this APOD are close-in orbits, which is a restricted set; "Earth-like orbits" (presumably in the "habitable zone") is a different restricted set. How do we know that the number in the first set is fewer than the number in the second? In the solar system at least, there is a lot less space in the first area than the second.[/quote]
Sorry, I meat to say, How do we know the number in the first set is greater than the number in the second? The second set, planets with Earth-like orbits, are harder to detect with current techniques, so we count fewer of them, but that doesn't mean there are intrinsically fewer of these planets. It's the usual selection-effect issue.[/quote]
That's very true George. Detecting solar systems like ours is still beyond our abilities, so it's too soon to say that systems like ours are rare, IMO.
[quote="ddale51"]Earth is a "Goldilocks" planet. Everything is just right. Just right air. Just right sun. Just right gas giant neighbors. Just right size moon. Just right rotation rate, axial tilt, composition, weather patterns. Just right, well, everything needed to support advanced life. There are nearly countless factors that had to be just right for creatures like us to exist on this planet. Earth is truly a miracle. Who knows? it's conceivable it may be unique in all the cosmos. I believe it was created to be humanity's home. You may disagree of course; but you also have to concede that this beautiful blue marble is a wonder indeed.[/quote]
I couldn't agree more. Well stated. :thumb_up:
[quote="BDanielMayfield"][quote="Stefan48"]With the talk about other planets and their relative size to earth, my question is - (speaking of size only) on how large of a planet can a human live comfortably? Can we live comfortably, or maybe with minor adjustment needed, live on a planet twice as big as earth? On a planet twice the size of earth, would I weight twice as much, or might I weight 1.5 times as much? Or what would I weigh?[/quote]
That’s a good question, for while these planets are far too hot, many others have been and will continue to be discovered that have orbits in the “habitable zone” of the stars they orbit. Ignoring cases of rapid rotation, the force that something would feel on the surface of a planet depends on only two factors; the planet’s mass and its radius. The more massive a planet is, the greater the G force would be, but this is somewhat counter-acted by the size of a planet, because this force drops with increasing distance. Therefore you cannot accurately say that we would be twice as heavy on a world that was twice the radius of Earth, nor can this be said if the world is twice the mass of Earth. Both planetary mass and size must be known for surface gravity to be calculated. I don’t remember the exact formula, I’m sure someone will post it soon if they haven’t already done so.[/quote]
Since no one else supplied the answer I looked it up. The formula for the gravitational force at the surface of a planet is [color=#BF0000]F=GM/r^2[/color] where G is the gravitation constant, M is the mass of the planet and r is the distance to the planet's center (radius). So the weight of an object on a planet is directly proportional to the planet's mass, but it's inversely proportional to the square of the radius. I hope that helps answer your question Stefan.