Recent content by Clive Redwood
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Undergrad Deriving Φ of Light Around a Massive Body: Exploring Einstein's Equation
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...- Clive Redwood
- Post #7
- Forum: Special and General Relativity
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Undergrad Deriving Φ of Light Around a Massive Body: Exploring Einstein's Equation
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.- Clive Redwood
- Post #5
- Forum: Special and General Relativity
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Undergrad Deriving Φ of Light Around a Massive Body: Exploring Einstein's Equation
Foundation of the General Theory of Relativity, Einstein- Clive Redwood
- Post #3
- Forum: Special and General Relativity
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Undergrad Deriving Φ of Light Around a Massive Body: Exploring Einstein's Equation
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?- Clive Redwood
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- Body Deflection Light
- Replies: 8
- Forum: Special and General Relativity
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Undergrad Physical Significance of Eccentricity & Semi-Latus Rectum of Orbital Ellipse
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...- Clive Redwood
- Post #4
- Forum: Astronomy and Astrophysics
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Undergrad Physical Significance of Eccentricity & Semi-Latus Rectum of Orbital Ellipse
What are the physical significances of the eccentricity and of the semi-latus rectum of the orbital ellipse?- Clive Redwood
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- Eccentricity Ellipse Orbital Physical Significance
- Replies: 3
- Forum: Astronomy and Astrophysics
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Exploring the Physical Significances of Orbital Ellipse Characteristics
What are the physical significances of the eccentricity and of the semi-latus rectum of the orbital ellipse?- Clive Redwood
- Thread
- Replies: 1
- Forum: New Member Introductions