Kepler's Third Law of Motion - Law of Periods (Astronomy)

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✵✵✵✵✵ Kepler's Third Law of Motion
LAW OF PERIODS (Astronomy)
Kepler’s 3rd Law is sometimes called The Law of Periods: The square of the period of any planet is proportional to the cube of the semimajor axis of its orbit.
In this video, we derive Kepler’s Third Law from Newton’s Law of Gravitation.
We also show you how to use this law to determine the orbit of Mars around the Sun.
Finally, we apply Kepler’s Third law to the Moon’s orbit around the Earth, using it to calculate the mass of the Earth.
✵✵✵✵✵ CHAPTERS
You can jump to chapters in the video here:
0:00 Introduction - Kepler first two laws "Astronomia Nova"
0:42 "Harmonices Mundi" published
1:34 examples of the Law of Periods
2:25 Derivation from Newton's Law of Gravitation
4:46 Using Kepler's Third Law to determine the Mass of the Earth
We have videos for all 3 laws!
Kepler's 1st Law: bit.ly/1XCVRSQ
Kepler's 2nd Law:bit.ly/1lzhLVQ
Kepler's 3rd Law: bit.ly/1MZ35bR
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✵✵✵✵✵ CREDITS
Presented by Liliana De Castro
Written by Meg Rosenburg and Kimberly Hatch Harrison
Produced by Kimberly Hatch Harrison & Michael Harrison
#Astronomy #Kepler #KeplersSecondLaw

[@NotsewTheGreat]

"Can't....Work... Properly...." Famous last words of my brain 2020 Sep.

[@hollylash2197]

gotta study for that astronomy test thooo ahhhh

[@noahlackey3571]

I love the music playing when it shows the galaxy.

[@alphalunamare]

So Kepler, sitting at his desk weighed the whole planet! Let alone that shiny thing ...Awesome Dude! :-)

[@pranavgupta9354]

these are the best series of videos I have come across on Kepler's laws. ... thank you so much..

[@1979badiola]

You are speaking the truth

[@project77977]

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[@AlexandeRSciswoR]

Same

[@nathanielkang667]

amen

[@sanatansah5085]

Oh Indian

[@internetuser2845]

third law is confusing for me but it was nice video😃😞😞

[@heisaidmisuchiang2307]

Me 2

[@SanjayKumar-ko6kq]

hey♥️♥️

[@expl1citken582]

Ironically its easier than the 2nd one

[@mikethespike056]

Just p^2 = a^3

[@musaritrashid1977]

Watch again

[@amomynousdasit7142]

God bless this lady!!!! The one video I understood! All hail Socratica! Thank you. Sincerely, someone freaking out about her GCSE astronomy exam

[@Socratica]

Hang in there! We're rooting for you!! 💜🦉

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[@Socratica]

☆。★。☆。★ ANNOUNCING - SOCRATICA ASTRONOMY REBOOT! We're writing, filming, & editing new videos now. Add your name to our stellar email list so we can notify you when they go live: snu.socratica.com/astronomy ☆。★。☆。★

[@bhavikkalita8627]

You guys do a great job i love learning things from Socratica

[@jl_woodworks]

I loved you ecclesiastical latin pronunciation for Harmonices mundi. :)

[@samielhellhound]

You guys are killin' it, great video. This one's going straight to favorites. :)

[@Socratica]

+Brutal Brewer Thanks so much!! Always great to hear from you, we really appreciate it!!

[@Socratica]

Welcome to Socratica! We make beautiful educational videos to help you learn MORE. We encourage you to visit our website for extra goodies: www.socratica.com Special hello to teachers and students during the covid pandemic. Hang in there! 💜🦉 PS Teachers, please do not film yourself playing this video and then upload that to KZbin. That's a copyright violation. We encourage you to SHARE our video with your students using the SHARE link. Bonus - that keeps us in business so we can keep making videos for you. Thank you.

[@isaiahyanez5806]

An amazing presentation it was extremely informative. : )

[@sshum00]

Is it weird that I listen to these videos to sleep? They're so soothing.

[@Socratica]

+2501 If you keep this up you'll earn a degree in your sleep! :)

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im also doing it lol

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Maybe it's just your mind shutting itself off because it doesn't want to study. XD

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[@mattorr2256]

I could listen to her vast knowledge of the cosmos all day, every single day.

[@alfredosolari7597]

Most interesting.Very clearly explained. The teacher's enthusiasm for her subject certainly helps.

[@illbet4589]

I love this Channel’s videos! I learn more here than from boring lectures.

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My brian hurts .( ̵˃﹏˂̵ )

[@smit_1449]

And i see why it does

[@noahmnm8119]

no one replied till 2 years later

[@bettasplendens713]

Hope Brian feels better

[@owlgriffin3781]

Thank you so much! This video was so clear and easy to follow, and was the easiest to understand.

[@rusabbaig6851]

Great Explanation of each law . Thank you Socratica

[@sulfo4229]

Exactly what I needed, fantastically explained! Thank you.

[@gargigupta472]

I loved the video!! Best explanation and visuals

[@Dad_tales]

Your explanations were so clear. Please keep it up

[@nicolasurrutiaburgos7290]

such a beautiful law, thanks for the video!

[@elliediprima610]

Thank goodness for these videos

[@Roberto-REME]

You're great. Thank you for the great knowledge your very inspired way of relating the information.

[@julesmoore7114]

omg thank you so much I have an astronomy test tomorrow, and I needed a breakdown of Kepler's third law

[@Socratica]

We're so glad we could help! Good luck on your test!! :)

[@freejackprepper1739]

Your videos are truly amazing as I stated once before. My nephew is currently learning of Kepler's Laws, so I have directed him to your videos and channel. :) The narrator/personality is terrific :)

[@Socratica]

+Freejack Prepper That's wonderful to hear, thank you so much! Good luck to your nephew! :)

[@CD1254]

I am studying for a midterm and this has helped a lot. Thanks a lot for the help! I still don't understand the 3rd law as great as a should, but I think this video gave me what I needed.

[@Socratica]

We're so glad you found our video helpful!! We hope your midterm goes well. What class is it for?

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12th

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@@Socratica for me 11-finals

[@akihiko35677]

wow thx a lot it was amazing

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Brilliant!

[@shauryachaturvedi7174]

Thank u mam the best explanation for this topic I have seen we hope to see more from u mam and in addition u have a great voice mam

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Great information video. Thanks

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Oh really !😇😇😇😇 Thank you with all my heart💓💓💓💓 ... I have always been looking for a simple explanation🧐🧐🧐🧐 of all the three laws of Kepler and here you have helped me to understand those laws and to understand the proofs of the full laws ... Thanks again❣️💓💖👍👍👍

[@FranFerioli]

Great video as usual. As Feynman explained, to weight the earth (and everything else) you need to estimate the gravitational constant first. This had to be done with an experiment in the lab. This is advertisement for the Feynman lectures that are one of the very few videos on youtube that are even better than Socratica (if you can imagine such a thing).

[@udomatthiasdrums5322]

love it!!

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Nice video, excellently explained

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nice :) it helped

[@shusrushadicholkar7217]

Thank you !!! Socratica ....ur videos are the one which I understood..... I was searching for such videos only for my exam study for the 10 th std......very cordial and wonderfully designed....explained and animated videos 📹

[@misswatson8464]

you have helped me a lot to understand kepler's laws. thanks a lot..

[@govi77777]

Very beautifully explained!!!

[@Monya17.30]

Thank you ❤

[@creationforall8522]

Thanks a lot for your efforts 🤓

[@hasininissanka1287]

Very good explanation on Kepler's 3rd law...it's really helpful....got some new Idea about it...thank you again and again...hope these types of valuable explanations in future🙏

[@RayWalker-pythonic]

Fantastic explanation.

[@kunslipper]

Thank you so much.

[@matend8125]

That was super cool

[@niraj_raut]

Thank you a lot .

[@600237002]

very good.

[@shahedm.3718]

Kepler’s 3rd law is basically explaining how to figure out the orbital period of a comet and it’s distance to the sun, 3:27 and using an equation we can find out the mass of a planet by figuring the distance and orbital period of another planet!

[@dhruvkumar2718]

It's really helpful

[@seshus.v.6956]

Simple and precise explanation

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i like the animation and the effort that has been put into this video.

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the editing is mind blowing

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Good video

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Amazing

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amazing explantation... 😍😍

[@Socratica]

Thank you for your kind comment - and thank you for watching!! :)

[@5eurosenelsuelo]

This is ffff great! I just missed how to derive it for elliptical orbits. It looked like magic when you changed the radius for the semi major axis

[@russellteejaymolina6736]

Yeah that was a little bit confusing, did she mean that the earth was orbiting the sun in an elliptical but the sun is exactly at the middle, right on the spot where the major axis and minor axis crossed and not located at one of the foci. Kind weird derivation but it still resulted in the right equation?

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Thanks mam ,it'really very useful for me.

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Thanks

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This is the best video about Kepler law

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Excellent!!

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Best xplanation ever seen Not good not better it was the BEST

[@_Amit13]

great animation as well as explanations. love from INDIA

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Sister excellent

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Best kepler's law video ever!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@actualt]

Hello, :)) I really appreciate how these channel is very educative + subscribed and also what's the intro's music?

[@Socratica]

We're so glad you've found our channel! For the music for our videos, we usually go directly to the artists and pay them for their work - so for the most part you won't hear these pieces elsewhere, unless we are using Classical music. We thought this music captured that feeling you get when you think about the enormous Cosmos! Thanks for watching!

[@simanchalmohanty332]

thanks

[@jonconer2052]

Nice

[@narasimhadripilla8088]

The bgm took the video another level... ❤️❤️

[@bidisha_roy]

I'm in year 10 (Aus) and didn' have a clue what the law meant before this. Thankyou!!!

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Super

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enlightenment of human brain absolutely amazing!

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Yes Indeed.

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Weighing planets! I feel like such a caveman! Really polished video guys!

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It is a very useful viedio

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How big is your team, Socratica? Who is behind the KZbin channel? The presenters must have learned a lot of great stuff preparing these videos.

[@Primogênito_V]

Ótimo vídeo, sua didática é maravilhosa. Peço que fação a versão em português, ajuda muito compreender o material. Desde já agradeço!

[@xyz_124]

Yesss 😄

[@itsAuffy]

so to sum up the first part if we want to find out how long it takes Saturn to make a full rotation then we do Psaturn^2 = (au)^3 --> square it and that = how many earth years relative to saturn's orbit?

[@saimounikavase2509]

Thanks madam

[@rajatmeena7341]

What an explanation

[@kareembrooks178]

You just confirmed that math is simple if you follow the formulas. but in all honesty I had trouble keeping up with apply the right numbers to the variables.

[@elieshilema739]

The simple language used to explain the laws is excellent for learners

[@candiceford88]

I need to watch this about 10 more times, then I'll have it down. Lol

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Hey ,I am from India but I use to watch your video's . You teaches very best.

[@sanfinity_]

super really awesome explanation. I have a doubt How scientist find the mass of a milky way???

[@sireli2100]

Im still lost a little bit, I mean Im a 16 years old trying to understand this but is so hard when it comes to semi major axis and periods, idk how to find those, I have a work where I need to determine the distance between the center of the earth and the center of the moon with the third kepler law and Idk how to

[@filipve73]

Does Kepler’s 3rd Law only applies for planetary motion? Can same law by used on a molecular or even atomic level? Let assume you could make an abstract comparison between the Solar System and the 5 States of Matter? (example: H²O) 1) Surface Sun: (Center of Solar System) = Plasma (5000 Kelvin) 2) Venus: (Inner HZ boundary) gas phase -> liquid phase (condensation) 3) Earth: (HZ) liquid phase (radius = 1AU) 4) Mars: (outer HZ boundary) liquid phase -> solid phase (freezing) 5) Pluto: (Solar System Boundary) BEC phase (~0 Kelvin) (just a idea ...)

[@trevonildo]

amazing!!!

[@MS_PrithwirajMaity]

which softwere you use to vizulisation and animateddd

[@owenmartin3307]

Best science video, what do you use for the animation

[@bigbangideas386]

Probably After Effects Or Blender Or Adobe Animator

[@rajanip2273]

gud explanation

[@njeunguenjionwou2210]

Hello to all. Please can anyhow direct me on how Kepla derived his third law? I know that we can do it using Newton's law of gravitation but I want to understand how Kepla derived it since he did not know Newton's laws and also to see how the Mplanet + Msun appears in that denominator

[@josdevos8746]

so what is the third law used for specifically?

[@wavvy5574]

okay, so I think I finally understand

[@robertinventor]

Nicely presented :). But the animation at 1 minute 20 seconds in the book is incorrect - all the planets shown orbiting with the same orbital period.

[@juglansregia1433]

i have a question... why make measurements of all these natural phenomena?

[@manw3bttcks]

One complaint here, the solar system diagram at 1:00 shows the planets moving in the opposite speed to radius relationship they really have. The diagram shows Mercury moving very slowly and the outer planets moving very fast. It should be the other way around, planets move with v ~ 1/(r)^1/2 so the inner planets move faster

[@hassankamal]

thank you from egypt =D

[@Socratica]

+Hassan Kamal Hello Egypt! Wonderful to hear from you! Thank you so much for watching! :)

[@hassankamal]

Im not just watching Im shared this video and keplir veido in my group of foculty of engineering and every body like your videos very much ...and I'm sorry beacuse my bad accent 😊...we pleased you if you make more video taking about propertis of matter and heat beacouse we take it in our foculty 😀+Socratica

[@Socratica]

Hassan Kamal That is so nice of you to say! (And your English is excellent. :) Definitely more videos on the way. Hello to everyone in your Engineering department!

[@imaginaryvenus5]

I'm from Egypt too, looks like your videos are easily searchable here. And I swear to god you explained it infinite times better than our lecturer. I don't think the lecturer even understood it herself. Don't know where people get their PhD's from nowadays.

[@rayxr]

Correct me if I'm wrong, but I thought Kepler's 3rd Law of Planetary Motion says the P^2 = "C"a^3; not P^2=a^3. He knew there was some constant "C" that needed to be multiplied, but that wasn't discovered until Newton's Law of Universal Gravitation.