Helium balon sonda

[Miroslav Šinko]

Mozno to vidim zjednodusene, ale nejako nasledovne si to pamatam z
fyziky: ak uvazujeme teleso v gravitacnom poli ineho telesa povezme
Zeme, na to nase teleso posobia parcialne sily kazdeho hmotneho bodu
Zeme. Ich vektorovy sucet ma silu a smer, akoby cela hmota Zeme bola
sustredena v jej tazisku. Sumu mozes nahradit integralom, ako si
pisal.
Ale to som sa uz snazil naznacit :-)

miro

2012/4/18 Daniel Valuch <daniel.valuch na orange.fr>:
> hmmm bolo by zaujimave vidiet matematicky dokaz (pokial by som ho vedel
> pochopit).
> b.
>
>
>
> On 4/18/2012 12:14, Snail Instruments wrote:
>>
>>
>>> Je to typicky pripad kedy treba presne pocitat blizke pole a nesmie sa
>>> aproximovat bodovym zdrojom.
>>
>>
>> http://en.wikipedia.org/wiki/Gravity_of_Earth
>>
>> Veticka v druhe tretine clanku:
>> "Note that this formula only works because of the mathematical fact that
>> the gravity of a uniform spherical body, as measured on or above its
>> surface, is the same as if all its mass were concentrated at a point at
>> its centre. This is what allows us to use the Earth's radius for r."
>>
>> Rekneme, ze z matematickeho hlediska jsme meli vic stesti nez rozumu :-)
>>
>> J. Hanzal
>>