DERIVING the Orbit of Our Home Planet from Newton's Law of Gravity: Physics Mini Lesson
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- Опубліковано 7 жов 2021
- In one of the most remarkable discoveries of all time, Newton showed how to derive the orbit of our planet around the Sun. I'll walk you through how step by step. Get the notes for free here: courses.physicswithelliot.com...
Get the PROBLEM SHEET, the SOLUTIONS, and the ANIMATIONS: www.physicswithelliot.com/orb...
Understanding the orbits from the effective potential: • The Trick that Makes U...
Learn the shortcut to deriving the orbits: • The Shortcut that Lets...
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About physics mini lessons:
In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video---that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own.
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at www.physicswithelliot.com.
I’m a freshman physics major and this channel gives great insight into things I may be learning in the next few years. Love it!
I'm a maths and stats major, haven't done any physics courses, but for a C++ computing course I took I created C++ programs for modelling the trajectory of the Moon and Earth. I derived my equations of motion using the Euler-Lagrange equations, which I taught myself in high school. Back then the great resource of your videos didn't exist, the best available were MIT open courses and Susskind's lectures at Stanford.
The clarity with which you explain these concepts is outstanding. Your videos are awesome, hope more people appreciates the quality of your content. Keep it up!
Twice you said hyperbolic orbits were like a comet going by the sun. This is generally not true: comets are generally in elliptical orbits, but often in extremely eccentric orbits, where the part of the path we can measure (when it's close enough to the inner solar system to be observed from earth) may be indistinguishable from a parabola (the borderline case between a closed elliptical orbit and an open hyperbolic trajectory). But still these are thought to generally be on elliptical orbits, ie, still bound to the sun, in a closed orbit. Only very recently did we finally spot an object "'Oumuamua" that was clearly an extrasolar object on an open hyperbolic trajectory, veering by the sun on its way through the solar system. And then we found a second, but that's been it, so far.
Why is there no solution where object falls into the sun?
It would be better if the explanation done here is either done entirely on a paper and just record that paper work or use a neat font for computer explanation and just don't use digital pens for illustration , use pre-sets like LINE CURVE SHAPES SURFACES VOLUMES etc ,
Great video, just an addition/clarification to what you said about the perihelion precession of Mercury: the precession itself can be derived from Newtonian gravity if you take into account there are other planets that influence Mercury's orbit, plus other smaller perturbations. You will need General Relativity to get the right amount of arcseconds of precession, though (575"/century instead of the 531"/century predicted by Newtonian perturbation calculus, the famous missing 43")
I never knew physics could be so "grounded". Keep up the good work!
Your value for the eccentricity is >1, which (according to you) is hyperbolic if E>0. I assume that one can prove that E<0?
How would you know the mass of the sun, the earth, or the ratio between them?
The work you put into these is amazing. That you add notes and problems makes it even more so. I hope you can keep it up! Thank you!
These videos are fantastic. Explanations are very clear and understandable, but without the loose of generality. I wish that I had youtube and this channel when I take a physics course in university! Keep going, great job!
Wow! Just found this now, I love how you explain everything clearly whilst also forcing me to do some work as I watch
Awesome channel bro, glad i found it!
Really really helpful!
Great video, man, so much quality :)
Brilliant. Have been looking for such mathematical explanation!
I really thank you very much, i was looking forward this concept mathematically for so long🙏
Thank You! Today I learnt how a topic can presented in its simplest but rigorous form.
As a first year physics major, this is hugely inspiring. Your channel is fantastic! Please keep it up! Love from Guatemala.