tsolkas Posted November 5, 2007 Share Posted November 5, 2007 According to the Newton's Mechanics, always: As it is known, the astronomic observations on the advance of the perihelion of planet Mercury produce a value of D = 574"./century. According to the study of L. Verierr (1835), the sum of the perturbative forces of all other planets (Venus, Earth, Mars,.. Pluto) on planet Mercury produce a value of D' = 531"./century. Thus, there is a difference of: δ = D - D' = 574''/century - 531''/century = 43''/century. L. Verierr, in his study, considered that the center of mass of the Sun and the center of mass of the Solar System coincide (namely they are in the same position). But this is wrong because these two mass canters do not coincide, see: http://astro.berkeley.edu/~eliot/Astro7A/Gravity.pdf Also, as it is known, the Sun and the planets rotate around the center of mass of our solar system and not around the center of mass of the Sun . Consequently, if, in our calculations, we take into account the Sun's and the planets' rotation around the center of mass of the Solar System and not around the center of mass of the Sun (as it has been happening until today) then we once again have the same difference: δ = D - D' = 574.''/century - 531''/century = 43''/century as it is claimed by L. Verierr in his study? This was my question. Also,As appears on: http://astro.berkeley.edu/~eliot/Astro7A/Gravity.pdf pict.3 The average distance (radius) R of the Sun's rotation around the center of mass of the solar system is: R = 2.4 Rs Where Rs is the radius of the Sun. Consequently, the center of mass of the Solar system is located outside of the mass of the Sun!!! Following the above, I would like to ask from the physicists of this forum to let me know the relevant bibliography where it is mentioned whether, from the age of Le Verrier (1835) to nowadays (2007), it has been taken into consideration the rotation of the Sun around the center of mass of the solar system for the calculation of the perihelion advance δ = 43"/century of planet Mercury. Thanks, Christos A. Tsolkas Link to comment Share on other sites More sharing options...
bji Posted January 28, 2008 Share Posted January 28, 2008 According to the study of L. Verierr (1835), the sum of the perturbative forces of all other planets (Venus, Earth, Mars,.. Pluto) on planet Mercury produce a value of D' = 531"./century. Following the above' date=' I would like to ask from the physicists of this forum to let me know the relevant bibliography where it is mentioned whether,[u'] from the age of Le Verrier (1835) to nowadays (2007), it has been taken into consideration the rotation of the Sun around the center of mass of the solar system for the calculation of the perihelion advance [/u]δ = 43"/century of planet Mercury. Doesn't 'the sum of the perturbative forces of all other planets' part cancel out the 'center of mass of the universe' part, such that you only need to use one or the other? In other words, doesn't taking into consideration those perturbative forces eliminate the need to add them into the equation calculating the center of mass of the galaxy? Thus the only body left in calculating the center of mass of the galaxy would be the sun, leaving the center of mass of the sun being the correct center of mass to use in the calculation of the precession of Mercury. I don't have enough of an educational background in either mathematics or physics to describe what I am saying with formulae; but perhaps my comments give you a starting point for deducing the correct answer yourself? I hope so Link to comment Share on other sites More sharing options...
swansont Posted January 28, 2008 Share Posted January 28, 2008 http://astro.berkeley.edu/~eliot/Astro7A/Gravity.pdf Page not found error The average distance (radius) R of the Sun's rotation around the center of mass of the solar system is: R = 2.4 Rs Where Rs is the radius of the Sun. Consequently, the center of mass of the Solar system is located outside of the mass of the Sun!!! How can this be, though, when the planets orbit? The center of mass of the earth is the axis of rotation, when averaged over the entire orbit. As with all of the other planets. For the COM to be outside the sun, the planets would have to be distributed asymmetrically — this will be true some of the time, but not all of the time. The Sun's relation to the COM is a time-dependent variable, not a constant. http://www.surf2000.de/user/f-heeke/figure1.html Link to comment Share on other sites More sharing options...
tsolkas Posted March 6, 2008 Author Share Posted March 6, 2008 Strong equivalence principle is wrong!!! http://www.tsolkas.gr/forums/777.jpg The above (fig. 7.1) according to "THE FUNDAMENTAL N - BODY LAW" are 100% wrong !!! see, http://www.tsolkas.gr/english/document1/principle-equivalence/principle-equivalence.html tsolkas Link to comment Share on other sites More sharing options...
fredrik Posted March 6, 2008 Share Posted March 6, 2008 Let me pose a question. Is that a piece of toast stuck on page 138? I can't help it but I just got this vision of someone having breakfast at the the xerox machine and I can't get it off my mind. /Fredrik Link to comment Share on other sites More sharing options...
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