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From: Albertito on 15 Sep 2009 11:21 Let's consider a classical newtonian gravitational potential, which is well-known it's a scalar quantity, \phi = -GM/|r| where |r| is the norm of the radial vector distance r, and GM is gravitational parameter The gradient of that \phi is the gravitational vector field, g, g = grad(\phi) = GM r /|r|^3 We can also define the gravitational potential as the divergence of a vector field, \psi, div(\psi) = \phi Does \psi have any physical meaning? What name should we give to \psi? Thanks in advance
From: Sue... on 15 Sep 2009 13:56 On Sep 15, 11:21 am, Albertito <albertito1...(a)gmail.com> wrote: > Let's consider a classical newtonian gravitational > potential, which is well-known it's a scalar quantity, > > \phi = -GM/|r| > > where |r| is the norm of the radial vector > distance r, and GM is gravitational parameter > > The gradient of that \phi is the gravitational > vector field, g, > > g = grad(\phi) = GM r /|r|^3 > > We can also define the gravitational potential > as the divergence of a vector field, \psi, > > div(\psi) = \phi > > Does \psi have any physical meaning? > What name should we give to \psi? > > Thanks in advance Do you have a list of century-long disputes that you compose your posts from? :-) http://en.wikipedia.org/wiki/Poynting_vector#Independent_E_and_B_fields How an antenna launches its input power into radiation: the pattern of the Poynting vector at and near an antenna -- J.D. Jackson http://repositories.cdlib.org/lbnl/LBNL-57623/ Sue...
From: "Juan R." González-Álvarez on 15 Sep 2009 14:07 Albertito wrote on Tue, 15 Sep 2009 08:21:07 -0700: You show again no idea. > Let's consider a classical newtonian gravitational potential, which is > well-known it's a scalar quantity, > > \phi = -GM/|r| > > where |r| is the norm of the radial vector distance r, and GM is > gravitational parameter > > The gradient of that \phi is the gravitational vector field, g, > > g = grad(\phi) = GM r /|r|^3 > > We can also define the gravitational potential as the divergence of a > vector field, \psi, > > div(\psi) = \phi > > Does \psi have any physical meaning? > What name should we give to \psi? > > Thanks in advance -- http://www.canonicalscience.org/ BLOG: http://www.canonicalscience.org/en/publicationzone/canonicalsciencetoday/canonicalsciencetoday.html
From: xxein on 15 Sep 2009 18:36 On Sep 15, 11:21 am, Albertito <albertito1...(a)gmail.com> wrote: > Let's consider a classical newtonian gravitational > potential, which is well-known it's a scalar quantity, > > \phi = -GM/|r| > > where |r| is the norm of the radial vector > distance r, and GM is gravitational parameter > > The gradient of that \phi is the gravitational > vector field, g, > > g = grad(\phi) = GM r /|r|^3 > > We can also define the gravitational potential > as the divergence of a vector field, \psi, > > div(\psi) = \phi > > Does \psi have any physical meaning? > What name should we give to \psi? > > Thanks in advance xxein: You have three choices. The cowardly lion, the tin man, and not to be a sexist, Dorothy. \psi is just \psi. Take it like a conversion factor if you like and can understand the math of what it represents. Or you could do a dimensional analysis and try to find out if it has any physical meaning. Other than that, I think you should use the 'kiss principle' to re- derive this form of math from basics and see where it leads you. Don't pre-suppose anything (Yeah. Like that's going to happen).
From: eric gisse on 16 Sep 2009 00:22 Albertito wrote: [...] > div(\psi) = \phi > > Does \psi have any physical meaning? > What name should we give to \psi? > > Thanks in advance For someone who has been posting so much about Newton and Maxwell's equations, the obvious seems to have eluded you.
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