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Message started by eau de sauvage on 07/22/18 at 03:46:02

Title: Inverse square law and elliptical orbits
Post by eau de sauvage on 07/22/18 at 03:46:02

Here is a wonderful geometric explanation, if you have ever wondered how is it that the fact that gravity falls off inversely with the square of the distance, inevitably leads to elliptical orbits.

https://www.youtube.com/watch?v=xdIjYBtnvZU

Title: Re: Inverse square law and elliptical orbits
Post by Dave on 07/22/18 at 17:21:52

OK....I was able to follow along to the 10 minute mark - then I needed a concentration break! :-?

Title: Re: Inverse square law and elliptical orbits
Post by Serowbot on 07/23/18 at 08:10:02

If Dave only made 10 minutes,.. I'm not even gonna' try... ;D

Title: Re: Inverse square law and elliptical orbits
Post by IslandRoad on 07/23/18 at 19:22:55

That was like watching 'contemporary dance' ... I had only a very little idea of what was going on, but I still enjoyed it! ;D

Title: Re: Inverse square law and elliptical orbits
Post by Trippah on 07/24/18 at 06:01:28

OMG - my eyes were rolling like those ellipses at 7:58 so I stopped at 8:13. I am always amazed that humans can think in such abstract ways, at time humans can be truly interesting. :o

Title: Re: Inverse square law and elliptical orbits
Post by Trippah on 07/24/18 at 06:08:59

OMG - my eyes were rolling like those ellipses at 7:58 so I stopped at 8:13. I am always amazed that humans can think in such abstract ways, at time humans can be truly interesting. :o

As an aside, I watched a brief tv show on the latest new Hubble-like telescope scheduled to be sent out in a few years. In some ways it is most interesting to me that as the farther away they compute a star to be, it is farther away in distance and, in time (further back in history.)
Its kinda odd, as we always think of what we are seeing as being here and now, which is almost true for our local viewing but apparently not for galactic distances. ::)

Title: Re: Inverse square law and elliptical orbits
Post by Eegore on 07/24/18 at 06:51:02

Talking with one of my friends that works for Atlas Pacific who builds satellite projects, he doesn't think we are looking back in time when the Hubble and such does those deep images.

There's a handful of newer theories out there about how that works but I haven't had time to look into them.

Title: Re: Inverse square law and elliptical orbits
Post by Serowbot on 07/24/18 at 09:13:48

The thing I never could get,.. is... if you look in any direction, you look back in time, and further you look the further back in time you see...
If we all came from a single point,.. how is that point in every direction we look?...
Somebody is playing a trick on us... :-?

Title: Re: Inverse square law and elliptical orbits
Post by Dave on 07/24/18 at 09:36:58

2533243921343922560 wrote:

If we all came from a single point,.. how is that point in every direction we look?...

We are not at the center - but the light took so long to get to us over the vast expanse....that any direction you look you see something that is no longer in the place where it was when the light began the journey!

Title: Re: Inverse square law and elliptical orbits
Post by T And T Garage on 07/24/18 at 10:01:05

Very cool video - I love Feynman.

Speaking of time/distance, etc. - if you really wanna blow your mind, look into Planck time.

Title: Re: Inverse square law and elliptical orbits
Post by Serowbot on 07/24/18 at 11:55:16

I Googled "Center of the Universe", just for fun,.. and it told me it's in Tulsa... ;D

http://https://assets.atlasobscura.com/media/W1siZiIsInVwbG9hZHMvcGxhY2VfaW1hZ2VzLzcxMWIzYTU1MzJiOWYyMGZlMV8yMjIxNDQ1NzI4XzgyYTFiMDNmZTVfYi5qcGciXSxbInAiLCJ0aHVtYiIsIngzOTA-Il0sWyJwIiwiY29udmVydCIsIi1xdWFsaXR5IDgxIC1hdXRvLW9yaWVudCJdXQ/2221445728_82a1b03fe5_b.jpg

Title: Re: Inverse square law and elliptical orbits
Post by Dave on 07/24/18 at 13:06:33

I thought the Center of the Universe was closer to me....in Rabbit Hash Kentucky.

https://www.youtube.com/watch?v=33CACmJDdbg

[media]http://www.youtube.com/watch?v=33CACmJDdbg[/media]

Title: Re: Inverse square law and elliptical orbits
Post by Serowbot on 07/24/18 at 15:15:37

;D ;D ;D

Title: Re: Inverse square law and elliptical orbits
Post by Dave on 07/24/18 at 19:24:27

Rabbit Hash is reportedly the only town in the US that has Euthanized a Mayor!

Title: Re: Inverse square law and elliptical orbits
Post by eau de sauvage on 07/24/18 at 23:13:15

1C272A3D2C203B3D262E233C4F0 wrote:

OK....I was able to follow along to the 10 minute mark - then I needed a concentration break! :-?

Oh don't get me wrong, I've watched it about half a dozen times and I'm only about 3/4 of the way though getting it. However as it avoids any calculus or advance math I know I can do this.

But as @IslandRoad has said it's still very enjoyable.

Title: Re: Inverse square law and elliptical orbits
Post by eau de sauvage on 07/24/18 at 23:18:23

4B5D4A574F5A574C380 wrote:

I Googled "Center of the Universe", just for fun,.. and it told me it's in Tulsa... ;D

It is in fact true to say that you are standing at the centre of the universe. and if there are other people in other galaxies each one of them can also truly say that they are in the centre of the universe. This is the peculiar nature of 4 dimensional spacetime.

This is why when we look around all the galaxies are moving away from our Galaxy, and the further they are the faster they are receding, meaning if we run time backwards they will all come to coalesce right where we are. But this is how it looks from any galaxy in the universe, every other galaxy including ours will appear to be receding from them and the further they are the faster they are receding.

In principle this would come down to each individual person.

Title: Re: Inverse square law and elliptical orbits
Post by eau de sauvage on 07/24/18 at 23:24:54

1B3D263F3F2E274F0 wrote:

OMG - my eyes were rolling like those ellipses at 7:58 so I stopped at 8:13. I am always amazed that humans can think in such abstract ways, at time humans can be truly interesting.

But that's the beauty of this, it's not really abstract. Abstract would be how he gets to the same answer using differential calculus, which I do not understand and cannot see into. However this is just simple Euclidean geometry that's all, what the Greeks invented 2000 years ago and what we leanned in high school, however it's just a lot of simple steps put together in a complex way but each individual step is easy to follow.

Title: Re: Inverse square law and elliptical orbits
Post by IslandRoad on 07/26/18 at 21:15:00

382E39243C29243F4B0 wrote:

If you draw a number of dots on a deflated balloon then blow it up, all of the dots are moving away from any given dot. When looking through space we are seeing light that is traveling a curved path through curved space. But it looks straight to us because we're in it! 8-)

Title: Re: Inverse square law and elliptical orbits
Post by eau de sauvage on 07/26/18 at 23:29:37

That's because that 'point' where everything came from was not a point that appeared in an already existing space. That point itself was the beginning of space and time, 4 dimensional spacetime.

In fact everything you see is in the past. When you are talking to someone you are not seeing them as they are now, but as they were a few billionths of a second ago. when you see the moon you see it as it was 1.3 seconds ago, and so on.

2E382F322A3F32295D0 wrote: