Awesome video Paul! I signed up for patreon soley for the podcasts (currently listening to the ones you did in 2016), but I'm sold on the videos now! You'll still be the voice in my ear when I drive, but the videos add an extra element that's educational and entertaining. Keep making us smarter! We need it. Thanks for all the effort!
I think of the stable L points and that spot near a storm drain…. Most of the debris is being sucked down the down, but there is this little spot to the side that if a leaf gets stuck in it, it is just gonna stay there and won’t be sucked down
I had this thought experiment where 2 black holes traveling at relativistic speeds are on a near-miss collision course, such that their event horizons overlap. Would their combined inertia/momentum force the event horizons apart again? Further, if I were in these black holes' L1 points, what would I see when they passed each other?
I don't think event horizons are like atmospheres. It's simply the point gravitationally from the center where nothing will have a great enough escape velocity (it'll need to be faster than the speed of light) to escape. There is no "fog" after you pass the event horizon
Lagrange points are so cool, the geometric gravitational balancing points between every two body system in space. But if relativity is correct wouldn’t suggest that light traveling through these areas would be effected in a measurable way? Personally I think relativity is a crock and that Einstein actually measured the plasma limb of the sun, and theses ions are actually what bent the light.
Don't simply think of the plane of the sun and the earth's orbit. Think in three dimensions. When done that way, I'll bet that there are actually Lagrange *loops.*
How relevant is L3? If something is at the Earth-Sun's L3 point, the Earth is pretty far away. At this point it seems that the pull of Jupiter and the other planets will be as relevant as the pull of the Earth. I.e. would there really be something measurable at L3, or would it get lost in the noise?
I did the math. Jupiter's mass ≈ 318 × Earth's mass. Jupiter is 5.2 au from the sun. So Jupiter gets as close as 4.2 au to the Earth-sun L3 point. And Earth is always 2 au from the Earth-sun L3 point. Effect of Jupiter's gravity = 318 / 4.2² ≈ 18. Effect of Earth's gravity = 1 / 2² ≈ ¼. So Jupiter can pull on L3 over 72× hard as the Earth does, but in the opposite direction. Other times both planets will pull in the same direction. 𝐈 𝐜𝐚𝐥𝐥 𝐬𝐡𝐞𝐧𝐚𝐧𝐢𝐠𝐚𝐧𝐬! L3 might have some value in pure math, but in our actual solar system L3 is lost in the noise.
5:50 minutes in -- gravity doesn't cancel. Not even at L1. There are 3 players in the tug-of-war. The central body's gravity, the orbiting body's gravity and the so called centrifugal force. Technically centrifugal force isn't truly a force. Rather it's inertia in a rotating frame. So pedantic physics teachers avoid the term. But this leads to wildy inaccurate statements. Like the sun's gravity cancelling earth's gravity at L1. The sun's gravity is much, much greater than the earth's gravity at L1.
Awesome video Paul! I signed up for patreon soley for the podcasts (currently listening to the ones you did in 2016), but I'm sold on the videos now! You'll still be the voice in my ear when I drive, but the videos add an extra element that's educational and entertaining. Keep making us smarter! We need it.
Thanks for all the effort!
More Paul, less war. God bless the Ukrainian people!
I agree with your sentiment but do you really think there is a god that gives a shit about geopolitics ?
This was so clear and compelling that even I could understand it. Thanks man!
Great content. Keep it up.
Langrange and Euler involve fluid mechanics equations, i love how they can even be set to scale in the cosmos!
Thanks for this lesson Dr. Sutter!
Thanks for this. Passing along to high school educators.
Great explanation, thank you for sharing your knowledge.
Thanks for the shout-out 🇮🇹
I think of the stable L points and that spot near a storm drain…. Most of the debris is being sucked down the down, but there is this little spot to the side that if a leaf gets stuck in it, it is just gonna stay there and won’t be sucked down
Thank you Euler
My favourite podcast channel. I miss space radio, though. Maybe you could do a live event? With cheese.
I'm always up for cheese...and a live event...
Hi Paul,
How do Mercury and Venus affect the Earth-Sun Lagrange point (stability, location, ...)? Tks. Kurt
I had this thought experiment where 2 black holes traveling at relativistic speeds are on a near-miss collision course, such that their event horizons overlap. Would their combined inertia/momentum force the event horizons apart again?
Further, if I were in these black holes' L1 points, what would I see when they passed each other?
I don't think event horizons are like atmospheres. It's simply the point gravitationally from the center where nothing will have a great enough escape velocity (it'll need to be faster than the speed of light) to escape. There is no "fog" after you pass the event horizon
Hey, Paul. What is the total energy of the observable universe ?
Good explainer for us non-physicists.
Stereo A and B must be in the L4 and L5 Lagrange points
L2 can't be a point of equilibrium, since both force vectors of Earth and the Sun point in the same direction here.
Lagrange points are so cool, the geometric gravitational balancing points between every two body system in space. But if relativity is correct wouldn’t suggest that light traveling through these areas would be effected in a measurable way? Personally I think relativity is a crock and that Einstein actually measured the plasma limb of the sun, and theses ions are actually what bent the light.
Very well explained without using relativity theory. Any plans for a follow up?
Why and how would he brought up relativity?
Don't simply think of the plane of the sun and the earth's orbit. Think in three dimensions. When done that way, I'll bet that there are actually Lagrange *loops.*
How relevant is L3? If something is at the Earth-Sun's L3 point, the Earth is pretty far away. At this point it seems that the pull of Jupiter and the other planets will be as relevant as the pull of the Earth. I.e. would there really be something measurable at L3, or would it get lost in the noise?
I just want to know how big the error bars are.
Why does the James Webb have to obit L2?
I dont see why L3 is in equilibrium :P
Beard's gettin thick Doc
I did the math.
Jupiter's mass ≈ 318 × Earth's mass.
Jupiter is 5.2 au from the sun.
So Jupiter gets as close as 4.2 au to the Earth-sun L3 point.
And Earth is always 2 au from the Earth-sun L3 point.
Effect of Jupiter's gravity = 318 / 4.2² ≈ 18.
Effect of Earth's gravity = 1 / 2² ≈ ¼.
So Jupiter can pull on L3 over 72× hard as the Earth does, but in the opposite direction.
Other times both planets will pull in the same direction.
𝐈 𝐜𝐚𝐥𝐥 𝐬𝐡𝐞𝐧𝐚𝐧𝐢𝐠𝐚𝐧𝐬!
L3 might have some value in pure math, but in our actual solar system L3 is lost in the noise.
5:50 minutes in -- gravity doesn't cancel. Not even at L1. There are 3 players in the tug-of-war. The central body's gravity, the orbiting body's gravity and the so called centrifugal force.
Technically centrifugal force isn't truly a force. Rather it's inertia in a rotating frame. So pedantic physics teachers avoid the term.
But this leads to wildy inaccurate statements. Like the sun's gravity cancelling earth's gravity at L1. The sun's gravity is much, much greater than the earth's gravity at L1.
Wrong on toilets, jet position dictates direction.
That's why he said it's not really a thing
Nice job in explaining without getting too tied up in the complexities, even this uneducated boy was able to follow you.
I miss the cheese presentation.
Same here!
@@PaulMSutter Cheese and your high concept presentations -- Thursday nights life was perfect.
P.S. Any chance of doing an episode on Project Orion?
There exist no "space man".
and were not going to mention L$/L5 societies! smh