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JANm
Anmeldedatum: 08.10.2008 Beiträge: 322 Wohnort: Haarlem, Nederland
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Verfasst am: 17.03.2012, 02:47 Titel: Re: Virial theorem |
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Hello Barney
Thanks for the link on escape velocity...
Barney hat Folgendes geschrieben: |
I remember some stuff around the virial theorem and hope we cited the proper escape velocity as Sqrt(2) * satellite velocity
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In music sqrt(2) is half an oktave, with one possible accord BF or FB. if played in C. Familiar are 7/5 and 10/7, but also a very nice aprox. is 17/12, and so 24/17.
If we take earth velocitie around the sun 30 km/sec, the 7/5 is usable and so escape velocitie = 42. So an additional velocitie of 12 km/sec is needed to escape from the Sun.
On the other hand escape from earth gravity needs 11,2 km/sec. Also here is 7/5 very usefull to find that satelite velocity at the earth surface =11,2*5/7=56/7=8km/sec... Knowing that 1km/sec=3 mach, that becomes 24 mach... A plane at that velocity needs no wings...
I don't know how these escape velocities 11,2 an 12 need to be added.
Is that where the virial theorem comes in?
greetings Janm _________________ Weiss nicht viel aber was ich weiss benutze ich. |
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Barney
Anmeldedatum: 19.10.2008 Beiträge: 1538
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Verfasst am: 17.03.2012, 09:37 Titel: |
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Hi Jan,
Zitat: | Is that where the virial theorem comes in? |
do you really want to relaunch this very old topic? If so, could you please search for links. With a short search I couldn't find something.
If I remember the story correctly, the insertion of the virial theorem was only a pretty wild and unconsidered idea .
Greetings |
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JANm
Anmeldedatum: 08.10.2008 Beiträge: 322 Wohnort: Haarlem, Nederland
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Verfasst am: 17.03.2012, 16:06 Titel: Clausius R J E |
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Hello Barney
The term viriaal is introduced bij Clausius R.J.E. (1822-1888) in thermodynamics.
Principle of Clausius: transision of heat from a cold - to a hot body is only possible if work is applied. So much for the little devil of Maxwell...
I find things about second law of thermodynamics and already the kinetic energy is half the potential energy.
I met the Virialtheorem in astronomy as the stationary assumption in models of galaxies.
If you look statistically to our solar system you expect that the mean kinetic energy of the planets is half of their potential energy...
That was the context of our previous discussion. About this Principle of Clausius I could start an interesting new thread.
greetings Janm _________________ Weiss nicht viel aber was ich weiss benutze ich. |
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