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The first experiment that proved Einstein's theory of general relativity was the bending of light around our sun. So if the sun can effect our measurement, in this case the light from a star behind the sun, a black hole sure can. Secondly, gravitational lensing is observed by galaxy clusters where multiple images of a background galaxy are formed around the ...


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The Schwarzschild black hole is the simplest, being just an isolated, nonrotated, uncharged black hole. If $\tau$ is the proper time measured by a clock moving along an arbitrary path in this spacetime, then in Schwarzschild coordinates $$-\mathrm{d}\tau^2 = -\left(1-\frac{R}{r}\right)\mathrm{d}t^2 + \left(1-\frac{R}{r}\right)^{-1}\mathrm{d}r^2 + ...


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Normal case: The effect would not be very noticeable unless the large planet was extremely large / high gravity (e.g. it would look "almost" normal) looking at one another. If the planet was that large, it would probably not be able to support life, but to see what would happen, lets assume it can support life. Relativistic case, from the large planet, ...


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Technically, the distance between Sun and Earth changes throughout the year. The Earth moves around the Sun on an elliptical orbit. It's distance from the Sun changes between 152m km (aphelion) and 147m km (perihelion), a difference of 5 million kilometres, twice per year.


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While the Sun and Earth attract each other, they cannot fall into each other because of angular momentum conservation. In a central field (where the force is acts in the direction of the distance vector and depends on distance only), the specific angular momentum vector $\boldsymbol{L}=\boldsymbol{r}\times\boldsymbol{v}$ is conserved ($\boldsymbol{r}$ is ...


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METHOD 3 Predicting Periastron Times and Cycle Durations from Orbital Phase ($\Phi$) In the answer by Stan Liou he uses a Taylor Series approximation of the Mean Anomaly to derive a nice formula which determines the CPTS (Cumulative Perihelion Time Shift) value as a function of $t^2$. This formula produces results very close to those graphed by Weisberg ...



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