Re: Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS

[EMAIL PROTECTED] (Aleksandr Timofeev) wrote in message news:<[EMAIL PROTECTED]>...
> [EMAIL PROTECTED] (Sergey Karavashkin) wrote in message news:<[EMAIL PROTECTED]>...
 
 [snip]

> Part 2
> -------------------------------------------------
> 
> http://groups.google.com/groups?selm=e16a4a22.0207300059.6a6fa66f%40posting.google.com
> 
> The Fermat's least action principle has mystical properties similar 
> to remote action of Newton's(?) gravitational force between two
> bodies:

" Newton's(?) gravitational force "

Robert Hooke

Born: 18 July 1635 in Freshwater, Isle of Wight, England
Died: 3 March 1703 in London, England

http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Hooke.html

" When Newton produced his theory of light and colour in 1672, 
Hooke claimed that what was correct in Newton's theory was stolen 
from his own ideas about light of 1665 and what was original was 
wrong. This marked the beginning of severe arguments between the two. 
In 1672 Hooke attempted to prove that the Earth moves in an ellipse 
round the Sun and six years later proposed that inverse square law of 
gravitation to explain planetary motions. Hooke wrote to Newton in 
1679 asking for his opinion:- 

... of compounding the celestiall motions of the planetts of a direct 
motion by the tangent (inertial motion) and an attractive motion 
towards the centrall body ... my supposition is that the Attraction 
always is in a duplicate proportion to the Distance from the Center 
Reciprocall ... 

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Hooke claimed priority over the inverse square 
law and this led to a bitter dispute with Newton who, as a consequence, 
removed all references to Hooke from the Principia. 
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Frequent bitter disputes with fellow scientists occurred throughout 
Hooke's life. On the other hand, we should note that he was on very 
good terms with some colleagues, particularly Boyle and Wren. 
Historians have described Hooke as a difficult and unreasonable man 
but in many ways this is a harsh judgement. There is no doubt that 
Hooke genuinely felt that others had stolen ideas which he had been 
first to put forward. "

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http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Newton.html

Newton 

The mechanics of the Copernican astronomy of Galileo attracted him and 
he also studied Kepler's Optics. 

>From his law of centrifugal force and Kepler's third law of planetary 
motion, Newton deduced the inverse-square law. 

After his 1679 correspondence with Hooke, Newton, by his own account, 
found a proof that Kepler's areal law was a consequence of centripetal 
forces, and he also showed that if the orbital curve is an ellipse 
under the action of central forces then the radial dependence of the 
force is inverse square with the distance from the centre. 

This discovery showed the physical significance of Kepler's second law. 
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Kind regards,
  Aleksandr Timofeev
http://www.friends-partners.org/~russeds/unknown/astrochem/oldeng.htm