Uploaded March 2019 | Updated September 2026, 3 weeks ago
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If we want a space probe to be stationary relative to the Earth, then we need a Lagrange point! They’re five points of gravitational stability, but how do we know they’re there?
________________________________
VIDEO ANNOTATIONS/CARDS
Black Hole Playlist:
youtube.com/playlist?list=PLOVL_fPox2K-zpTeryROTkmzzsMssSMWp
Solar System To-Scale:
youtu.be/iGV4y2W2SOE
Merry-Go-Round Physics:
youtu.be/EwX4iaPBEes
What is Energy?
youtu.be/snj1wBtn6I8
________________________________
RELATED YOUTUBE VIDEOS
Sixty Symbols on Lagrange Points:
youtu.be/mxpVbU5FH0s
Fraser Cain on Lagrange Points:
youtu.be/foyJzvpeaBE
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Einsteinium Crazies:
Albert B. Cannon, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Rick Finn
Plutonium Crazies:
Anamnesia, JKLMN Anderson, Timothy Blahout, Kevin MacLean
Platinum Crazies:
Vittorio Monaco, Neil.L.Steven, Al Davis, Stephen Blinn, Mikayla Eckel Cifrese, Evgeny Ivanov
________________________________
OTHER SOURCES
http://hyperphysics.phy-astr.gsu.edu/hbase/Mechanics/lagpt.html
wmap.gsfc.nasa.gov/mission/observatory_l2.html
https://www.math.arizona.edu/~gabitov/teaching/141/math_485/Final_Report/Lagrange_Final_Report.pdf
demonstrations.wolfram.com/LagrangePoints
demonstrations.wolfram.com/OrbitsAroundTheLagrangePointL4
https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-07-dynamics-fall-2009/lecture-notes/MIT16_07F09_Lec18.pdf
exploremars.org/trojan-asteroids-around-jupiter-explained
en.wikipedia.org/wiki/List_of_lists_of_lists
________________________________
LINKS TO COMMENTS
Lagrange Points:
youtube.com/watch?v=fU0RN_dC2PY&lc=UgzSqzWNh3bxVHrkZ1N4AaABAg
youtube.com/watch?v=fU0RN_dC2PY&lc=Ugxhm-OiGVyq8xq7sdR4AaABAg
youtube.com/watch?v=fU0RN_dC2PY&lc=UgxQQDCdcoKjrt3MPaN4AaABAg
Featured Comment:
youtube.com/watch?v=1gf4yejFNe4&lc=UgziEebUqfYNpKoFt_14AaABAg
Science Asylum is a proud partner of Dollar Shave Club. dollarshaveclub.com/scienceasylum
If we want a space probe to be stationary relative to the Earth, then we need a Lagrange point! They’re five points of gravitational stability, but how do we know they’re there?
________________________________
VIDEO ANNOTATIONS/CARDS
Black Hole Playlist:
youtube.com/playlist?list=PLOVL_fPox2K-zpTeryROTkmzzsMssSMWp
Solar System To-Scale:
youtu.be/iGV4y2W2SOE
Merry-Go-Round Physics:
youtu.be/EwX4iaPBEes
What is Energy?
youtu.be/snj1wBtn6I8
________________________________
RELATED YOUTUBE VIDEOS
Sixty Symbols on Lagrange Points:
youtu.be/mxpVbU5FH0s
Fraser Cain on Lagrange Points:
youtu.be/foyJzvpeaBE
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Einsteinium Crazies:
Albert B. Cannon, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Rick Finn
Plutonium Crazies:
Anamnesia, JKLMN Anderson, Timothy Blahout, Kevin MacLean
Platinum Crazies:
Vittorio Monaco, Neil.L.Steven, Al Davis, Stephen Blinn, Mikayla Eckel Cifrese, Evgeny Ivanov
________________________________
OTHER SOURCES
http://hyperphysics.phy-astr.gsu.edu/hbase/Mechanics/lagpt.html
wmap.gsfc.nasa.gov/mission/observatory_l2.html
https://www.math.arizona.edu/~gabitov/teaching/141/math_485/Final_Report/Lagrange_Final_Report.pdf
demonstrations.wolfram.com/LagrangePoints
demonstrations.wolfram.com/OrbitsAroundTheLagrangePointL4
https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-07-dynamics-fall-2009/lecture-notes/MIT16_07F09_Lec18.pdf
exploremars.org/trojan-asteroids-around-jupiter-explained
en.wikipedia.org/wiki/List_of_lists_of_lists
________________________________
LINKS TO COMMENTS
Lagrange Points:
youtube.com/watch?v=fU0RN_dC2PY&lc=UgzSqzWNh3bxVHrkZ1N4AaABAg
youtube.com/watch?v=fU0RN_dC2PY&lc=Ugxhm-OiGVyq8xq7sdR4AaABAg
youtube.com/watch?v=fU0RN_dC2PY&lc=UgxQQDCdcoKjrt3MPaN4AaABAg
Featured Comment:
youtube.com/watch?v=1gf4yejFNe4&lc=UgziEebUqfYNpKoFt_14AaABAg






![Could Flatland Be CURVED?!
Measuring the curvature of a space takes parallel transport and the Riemann curvature tensor (General Relativity). Lets explore this using Flatland and Lineland, an old tool involving lower-dimensional spaces. Brilliant for 20% off: http://brilliant.org/ScienceAsylum
VIDEO ANNOTATIONS/CARDS
The Ultimate Guide to Relativity:
https://youtu.be/FdWMM6aXpYE
What the HECK is a Tensor?!?
https://youtu.be/bpG3gqDM80w
How Elastic is the Fabric of the Universe?
https://youtu.be/DDwlDZidLSg
RELATED YOUTUBE VIDEOS
PBS Space Time on Space Curvature:
https://youtu.be/D3GVVkPb3OI
Flatland by Carl Sagan:
https://youtu.be/N0WjV6MmCyM
Flatland by What The Bleep?
https://youtu.be/sEVEKL1Fbx0
SUPPORT THE SCIENCE ASYLUM
Patreon:
http://www.patreon.com/ScienceAsylum
Advanced Theoretical Physics (Paperback):
http://www.lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html
Advanced Theoretical Physics (eBook):
https://gumroad.com/l/ubSc
Merchandise:
https://www.scienceasylum.com
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
[Available]
Asylum Counselors:
Matthew OConnor, Nikolaos Vasiloglou II
Asylum Orderlies:
William Morton, Fabio Manzini
Einsteinium Crazies:
Wacky, Eoin OSullivan, Ken Davis, LT Marshall, Ilya Yashin
Plutonium Crazies:
Al Davis, Compuart, Ellis Hall, Kevin MacLean, Randall Sylvia
Platinum Crazies:
Olga Cooperman, Kyle Bowles, Zein Kassim, Rick Dinning, Eugene Boone, Jon Adams, Mr. Orn Jonasar, Vittorio Monaco, Stephen Blinn, Mikayla Eckel Cifrese, Jonathan Reel
OTHER SOURCES
http://www.physics.ucc.ie/apeer/PY4112/Curvature.pdf
https://web.stanford.edu/~oas/SI/SRGR/notes/SRGRLect8_2012.pdf
https://www.asc.ohio-state.edu/mathur.16/grsolprob3.pdf
http://www.physics.usu.edu/Wheeler/GenRel/Lectures/2Sphere.pdf
https://www.preposterousuniverse.com/grnotes/
LINKS TO COMMENTS
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgxQxbcX2bKf48i60oR4AaABAg
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgxYGriPCFHfKBa37OF4AaABAg
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgyakYv7jNKAaujfrWd4AaABAg
IMAGE CREDITS
Earth by GOES-16:
https://www.nesdis.noaa.gov/content/goes-16-color-composite-images Could Flatland Be CURVED?!](https://i.ytimg.com/vi/WcCsELqZnE0/mqdefault.jpg)



