Astronomy & Astrophysics Olympiad Question | IOAA 2019 Question 3

Another beautiful Astrophysics & Astronomy Olympiad Question! Did you manage to solve it?
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For those of you that are new here, hi there 🌞 my name is Ellie and I'm a Part III Mathematics Graduate from the University of Cambridge and current Astrodynamics Software Engineer! This channel is where I nerd out about maths, physics, space and coding so if that sounds like something you're interested in, click the subscribe button to follow along ☺️

[@blakecunningham5389]

I like the idea of videos on the history of the equations. Or at least concepts like wavelengths and how they operate in astrophysics. It's interesting to see how these ideas are scaled to astronomical sizes.

[@gabrielbergens4806]

Very helpful video in preparing for the olympiad. I hope you do more of these! There isn't much content of IOAA solves on youtube!

[@armanavagyan1876]

Thanks PROF UR just superb.

[@aceofspadesrosie]

Good work Sleightholm.

[@zindagiismuskilzindagiismuskil]

Well your efforts are brilliant god bless you ❤❤

[@JustineNakamatte]

That is so nice

[@armanavagyan1876]

🙏 for continuation)

[@dhbro6493]

Please do a CCD camera question

[@Cqdita]

Make a video solving an IPhO problem, please

[@imeprezime1285]

Yup, Schwarzschild's radius can be easily derived from Newtonian mechanics

[@user-pp2mv1xi7j]

Hello,can you please told me some tricks for applied math 😢😢

[@rafazieba9982]

The escape velocity in Newtonian physics is easy to calculate but here we need to apply the General Theory of Relativity. It so happens that when you are calculating the radius of an even horizon you'll get the same result with Newtonian and relativistic equations but it's a pure coincidence.

[@POKEVOLTAGE]

For a scwarschild black hole, the radius is simply R_s = 2gm/c²

[@rafazieba9982]

@@POKEVOLTAGE Yes, but you can't use Newtonian physics to calculate it.

[@POKEVOLTAGE]

@@rafazieba9982 yes because action at a force is incorrect, which is the foundation of Newtonion physics. But in general relativity, we talk about it as a disrupted symmetry of space-time caused by objects with a mass

[@POKEVOLTAGE]

@@rafazieba9982 actually there are more coincidences with Newtonion and general relativity because both are just measurements. For example in Gravitational Lensing, I remember the angle of deflection or deviation to be 2gm/c or something Idk I forgot it but in G.R it was 4gm not 2gm. Literal coincidences sometimes probably as because in relativistic velocities sometimes Newtonion measurements tends to match with G.R but at higher astronomical levels or conditions like beyond the EVENT horizon. NEWTONIAN mechanics fails. Also I think at relativistic velocities I think on equations with lorentz factors there shouldn't be any coincidence which I think even though I have not seen them together at equal to sign till now anyways

[@jaimeduncan6167]

Yes, for a non-rotating spherically symmetric black hole. Rotating black holes are a nightmage 🤣

[@gabor6259]

10:27 Schwarzschild is pronounced "shvarts-shield".

[@EllieSleightholm]

I blame my professors for pronouncing it wrong 😭

[@Etothe2iPi]

Viva la resolution!

[@swedish_art]

I think you need help from William Shakespeare, and Einstein used the sofa as an example when explaining the theory of relativity. Astronomy is so complex and requires too much mathematics. The universe never lacks beauty, it just lacks ways to express its beauty, just like M87.

[@sosagejon364]

Not a math story, but this girl is so beautiful, blonde hair and blue eyes

[@phoenixxam5812]

Uhm

[@user-ym6lj6mf6f]

I wish i can become like you .u are my true inspiration.🤌❤😊