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

Our Socratica Astronomy series is back! Bookmark the playlist here: ✷ https://socratica.link/Astro_Playlist We also ask you join our STELLAR email list so we can notify you when new videos go live: ✷ https://snu.socratica.com/astronomy (Don’t rely on the YT algorithm to show you what you’re really interested in!) ✵✵✵✵✵ 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: http://bit.ly/1XCVRSQ Kepler's 2nd Law:http://bit.ly/1lzhLVQ Kepler's 3rd Law: http://bit.ly/1MZ35bR ✵✵✵✵✵ CONNECT WITH US We hope you will share our videos on social media—that really helps us grow. Be sure to tag Socratica so we can come say hi! ✷ Facebook: https://www.facebook.com/SocraticaStudios/ ✷ Instagram: https://www.instagram.com/SocraticaStudios/ ✷ Twitter: https://twitter.com/Socratica ✵✵✵✵✵ SUPPORT SOCRATICA You can support our channel by making purchases using our affiliate links. These are books and other resources we have used ourselves, and can personally recommend. A small percent of your purchase (usually 1-2%) will be shared with Socratica by the vendor. We highly recommend the Astronomy textbook “Universe” by Roger Freedman et al: ✷ 9th Edition http://amzn.to/2so6Ums ✷ 10th Edition http://amzn.to/2tfBjUe ✷ 11th Edition https://amzn.to/3mhxqvv Carl Sagan's COSMOS ✷ Video series https://amzn.to/3EtoysH ✷ Book https://amzn.to/3CrfsfJ Moon Globe with explorations ✷ https://amzn.to/3me3kZM Celestron 6-inch computerized telescope ✷ https://amzn.to/3mhdysk Our STUDY TIPS BOOK is now available! How To Be a Great Student ✷ e-book: https://amzn.to/2Lh3XSP ✷ Paperback: https://amzn.to/3t5jeH3 Or read for free when you sign up for Kindle Unlimited: ✷ https://amzn.to/3atr8TJ Shop Amazon Used Textbooks - Save up to 90% ✷ http://amzn.to/2pllk4B ✵✵✵✵✵ MORE WAYS TO SUPPORT SOCRATICA JOIN this channel for cute owl badges: ✷ https://bit.ly/SocraticaBadges SUBSCRIBE to Socratica: ✷ http://bit.ly/SocraticaSubscribe SUPPORT Socratica on Patreon: ✷ https://www.patreon.com/socratica DONATE with Paypal: ✷ https://www.paypal.me/socratica GIFT CRYPTO with Bitcoin: ✷ Our address is bc1qda47tgfyk67lxa7yqn8y5m02hjcglghsd5c58n ✵✵✵✵✵ CREDITS Presented by Liliana De Castro Written by Meg Rosenburg and Kimberly Hatch Harrison Produced by Kimberly Hatch Harrison & Michael Harrison #Astronomy #Kepler #KeplersSecondLaw