[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 572

 
Mischek2:

We need to increase the orbit _

That's understandable, but I thought you meant an orbit of 400-600km around the Earth.
 
As Donkey Eeyore used to say - a heartbreaking spectacle. When experts in one thing turn into dilettantes when discussing another.
I suggest those who wish to read the topic in a more specialist forum, tag "dreams of the mind" :))

http://balancer.ru/tools/search/result/?q=%D0%BB%D0%B8%D1%84%D1%82

By the way, this is a very interesting place - the Airbase Forums. One can find operational data on almost any near-military and technical issue. From parsing flights in the Korean War, to mercenary reviews of small arms models.
And space and weapons topics involve actual designers. For example, the Phobos-grunt epic was commented privately by the leading designer of the Lavochkin Science and Production Association.
 
TheXpert: And it would be better to take an integral on volume, because the earth is not a material point :)

By two volumes, i.e. six times.

In fact, it's simpler than that: two balls are attracted as material points. Newton proved this already - without any integrations, geometrically.

But the volume distribution of density must be a constant, it seems.

 
Mathemat:
Alexei, do you want to make $5,000? In a day. No initial investment.
 

Fredo to piss?

It's cheaper.

 
DmitriyN: Alexei, do you want to make $5,000? In a day. No initial investment.
I don't know about that.
 
Mathemat:
How about that.
Here's the link. Prove it and the money is yours. The bonus has already been increased to $10,000.
 
Mathemat:

It's actually simpler than that: two balls are attracted as material points. Newton proved that - without any integrations, geometrically.

OK, let's simplify the problem -- ball + material point.

Then we have to prove that

that point 1 is attracted by points 2 and 4 as two points 3 (with equal force. Masses 2 3 and 4 are equal)

 
TheXpert: Then we have to prove that

That point 1 is attracted by points 2 and 4 as two points 3 (with equal force. masses 2 3 and 4 are equal)

No, this is not enough. There may well be a skew between these points (e.g. if point 1 is close to 4, the attraction of 1 <-> 4 will be greater than 1 <-> 2).

And when integrating by volume, all skewness should cancel each other out.

P.S. Try if you are interested.

Points 2 and 4 can be equidistant from 1 and 1 is very far away. And your conclusion would be wrong.

 
DmitriyN:
Here's the link. ...

Oh, I know this guy...
I mean, I know a little bit about the history of science. He shouted that gravity is bullshit and offered the Russian government to give him money, or he will sell his great knowledge abroad.

That's probably still selling. Or he's trying to prove something out there.