i think my brain just melted out through my ears - I can't fathom how you guys' brains just work like this. I have a huge respect towards all scientists but especially the ones dealing with mathematics . It truly is a talent you have to be born with, to see numbers in such a complex way and understand immediately. It takes me a long time to GET IT. Thank you for this video, it did help a lot!!
Imagine those times no schools, libraries, printing presses etc.. All these discoveries were interdependent.. how they had access to each others discoveries..who documented it?
When you went through 5 lectures and 3 discussions and still have no clue what the three laws are exactly, and a RU-vid video can explain it clearly in less than 20 minutes. You really start questioning our country's education system...
I keep hearing different versions of this, the reason why you find RU-vid videos simpler is most likely because you're simply paying more attention or because you have the ability to pause a video. If you have actually gone through 5 lectures and still didn't understand it, you might just be a dumbass.
This is soo cool! I love the interactive way of learning. Thank you thank you! I have watched so many videos and only this one has really made sense to me.
Thank you so much! I had to study Johannes Kepler for a school project and all other videos and websites were really confusing. You did such a good job explaining and simplifying Kepler's three laws. I would love to hear more from you!
@@untitiled1092 well, I needed it sooo i can say that it's fine since you don't know who'll be watching this video. Some might find history useful and for some might not.
What's fascinating about Kepler is that his belief in a God that created a perfect and ordered universe is what spurred him on to create a more accurate model for revolutions. The math is quite something!
Fact: over a 15-year period (of 5495 days) Mars returns facing a given star in this curious sequence of time intervals: 707 + 707 + 707 +707 + 707 +707+ 707 + 546 days. As expounded and illustrated in Chapter 5 of my new TYCHOS book (2nd Edition / Dec 2023), this means that the geoheliocentric model devised by Tycho Brahe is the only possible configuration of our Solar System. This, because the 'odd behavior' of Mars - what with its "short Empiric Sidereal Interval" of only 546 days is - perfectly accounted for in Brahe's model. It is now high time to realize this undeniable fact - and to expose Kepler's fraudulent ways in his vain quest to validate heliocentrism (as already discovered and denounced by Prof. W.H. Donahue - the American translator of Kepler's "Astronomia Nova" - back in 1988).
Skipped over some of the explanation of the formulas in 3rd law proofing. If you are going to explain it, please do it completely, step by step, without holes. Thanks.
Great explanations. You are much better than my classroom teacher. But I suppose Kepler's law of period r^3/t^2=GM/4^2 would only work when the object revolving around a central mass in a circular motion. However, from the video, the eccentricity of mercury is 0.206, which should be large enough for its motion to be considered as elliptical. So my question is can you actually derive a equation that describe such an elliptical motion.
To derive what R^3/T^2 equal to, you applied v= 2pi/r which is a formula for circle, and you applied the formula for uniform circular motion F= mv^2/r. Well, then the left hand side of Kepler's third law is for an ellipse, but the right hand side is derived using properties of circles. At least to me, it should not work with ellipse.
Thank you for your beautiful explanations. How is it that Kepler was correct in his calculations despite his belief 18:39 that the earth is the centre of the planetary system when the sun is. Ramzi
Very well explained, BUT it would have given me more knowlege with no sacrifice to you if you had moved the earth in ONLY the correct direction but not back and forth! every little bit from you adds to my knowledge.
Isn’t it because of how the moon rotates as it revolves around the earth? Synchronous rotation? Where it takes just as long to rotate about its axis, as it does to make one revolution. I’m not sure why it’s like that though. I would assume it’s because of gravity. I’m sure billions of years ago it wasn’t like how it is now
Actually Kleplers‘s law is derived on ellipses where “r” is the semi major axis. A circle is simply and an ellipse where the semimajor axis and the semi minor axis are the same size.
Not sure what you are asking. A object in an elliptical orbit will have a variable speed, faster when it’s closer. Kepler describes this but could explain it. It took Newton to explain with Gravitation
wait.. does F= m.V^2 / R comes from the centripetal acceleration multiplied by the mass. but the centripetal forces only imply for an object that is orbiting CIRCULARLY in which explained on the FIRST KEPPLER'S law, planets orbit in an oval shape. shouldnt the equation be un usable if this was the case. Thankyou
You are right in that the orbits are elliptical. But they are very close to circular. Thus means that the centripetal formula is s good approximation although in theory needs to take account of the elliptical path.
Yes. Why would you ask? Keplers laws describe the motion of planets and the amount of data we have on planet positions is overwhelming that can easily verify keplers laws.
This needs a longer response but in essence Ptolemaic model was geocentric the others heliocentric. Copernican model was circular where as Kepler demonstrated it was elliptical.
Good question The actual Keller’s law refers to the half the semi major axis. With a circle it’s the radius with an ellipse it’s half the greater diameter. Since most orbits of planets have an eccentricity of very close to 1, the radius is fine to use.
2πr for circular path but here is elliptic path ....why newton takes elliptic path as circular . it is elliptic not circular . calculation may be wrong.
Your explaination is incomplete since when you speaks about orbital velocity you should mention that this velocity is average velocity over a closed path since orbits are elliptical not circular. Also it is important to mention that r^3 varies proportional to 1/ T^2 with respect to time , for other wise averaging won't work.
