Recent content by Clive Redwood

  1. Clive Redwood

    Undergrad How is Einstein's light deflection equation dΦ/dx₂ = dγ/dx₁ derived?

    Einstein actually arrives at his stellar game changing prediction by solving the null geodesic equation (eq. 73) gμνxμxν = 0 under the conditions of Huygens' principle expressed as dB = (∂ϒ/∂x1)dx2 Both equations are expressed in tensors. So I don't think a special coordinate system was...
  2. Clive Redwood

    Undergrad How is Einstein's light deflection equation dΦ/dx₂ = dγ/dx₁ derived?

    The equation is: B = ∫(∂γ/∂x1)dx2 where B is the deflection, γ is the speed of light in units of c, and the subscript notation is used to index tensors. This is found on page 163 in Section 22 of The Principle of Relativity, Dover Publications, 1952.
  3. Clive Redwood

    Undergrad How is Einstein's light deflection equation dΦ/dx₂ = dγ/dx₁ derived?

    Foundation of the General Theory of Relativity, Einstein
  4. Clive Redwood

    Undergrad How is Einstein's light deflection equation dΦ/dx₂ = dγ/dx₁ derived?

    In deriving the expression for the deflection Φ of light around a massive body, invoking Huygens' principle, Einstein arrived at the equation: dΦ/dx2 = dγ/dx1 where γ is the speed of light in units of c, and the xμ are space coordinates. How is this equation arrived at?
  5. Clive Redwood

    Undergrad What are the physical significances of eccentricity and semi-latus rectum?

    Please consider the following: Assuming a simple harmonic oscillation of the gravitational potential centered at -GM/l, and with extrema labeled 1 and 2, then: a. the shifts in the potential are equal and opposite: -(GM/l - GM/r1) = -(-(GM/l - GM/r2)) Dividing by GM reveals l as the...
  6. Clive Redwood

    Undergrad What are the physical significances of eccentricity and semi-latus rectum?

    What are the physical significances of the eccentricity and of the semi-latus rectum of the orbital ellipse?
  7. Clive Redwood

    Physical significance of eccentricity and semi-latus rectum in orbits

    What are the physical significances of the eccentricity and of the semi-latus rectum of the orbital ellipse?