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Not Newton but Gauss



 
 
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  #1  
Old February 8th 18, 04:42 AM posted to sci.astro
Peter Riedt
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Default Not Newton but Gauss

Not Newton but Gauss

Newton only had a vague idea of gravity. The first scientist to derive the universal gravitational law Fg = G*(M*m/sma^2) was Gauss. He derived it from Kepler's planetary laws. First Gauss established the value of G (6.674E-11) with G = sma*v^2/M where sma = semi major axis in m of any planet, v = periodical velocity in m of the same planet and M = the mass of the sun. The gravitational constant G was found in 1798 by Cavendish in the laboratory but Gauss calculated it with his own formula.

Gauss then used two laws to formulate Fg = G*(M*m/sma^2):
The area swept by a line joining a body and the Sun divided by the time in which it is swept gives a constant quotient. This is Kepler's second law of planetary motion.
The square of this quotient is proportional to the parameter p (that is, the latus rectum) of the orbit and the sum of the mass of the Sun and the orbiting body. This is a modified form of Kepler's third law.
  #2  
Old February 8th 18, 09:13 AM posted to sci.astro
Libor 'Poutnik' Stříž
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Default Not Newton but Gauss

Dne 08/02/2018 v 04:42 Peter Riedt napsal(a):
Not Newton but Gauss

Newton only had a vague idea of gravity.

Therefore fact he was the first
to be able to calculate possible trajectories
with usage of the infinitesimal calculus he developed*
had to be a famous success.

It was used routinely by many astronomers
( often months of manual calculations ) before Gauss.

* in parallel with Leibnitz

--
Poutnik ( The Pilgrim, Der Wanderer )

A wise man guards words he says,
as they say about him more,
than he says about the subject.
  #3  
Old February 9th 18, 01:46 AM posted to sci.astro
Peter Riedt
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Posts: 83
Default Not Newton but Gauss

On Thursday, February 8, 2018 at 4:13:47 PM UTC+8, Libor 'Poutnik' StÅ™Ã*ž wrote:
Dne 08/02/2018 v 04:42 Peter Riedt napsal(a):
Not Newton but Gauss

Newton only had a vague idea of gravity.

Therefore fact he was the first
to be able to calculate possible trajectories
with usage of the infinitesimal calculus he developed*
had to be a famous success.

It was used routinely by many astronomers
( often months of manual calculations ) before Gauss.

* in parallel with Leibnitz

--
Poutnik ( The Pilgrim, Der Wanderer )

A wise man guards words he says,
as they say about him more,
than he says about the subject.


I agree.
 




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