Deflection angle of a ray grazing the sun

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SUMMARY

The deflection angle of a ray grazing the sun is calculated using the formula α = 4GM/c²r, where G is the gravitational constant, M is the mass of the sun, c is the speed of light, and r is the distance from the sun's center. The expected value of this deflection angle is 1.74 arc seconds. A common error occurs when users mistakenly convert the result into arc seconds without proper context, leading to confusion. Bernard Schutz's "A First Course in General Relativity" provides a comprehensive explanation of this phenomenon and related solar system tests.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with gravitational constant (G) and speed of light (c)
  • Basic knowledge of angular measurement in arc seconds
  • Ability to perform unit conversions in physics
NEXT STEPS
  • Study the derivation of the deflection angle in general relativity
  • Learn about the gravitational constant (G) and its significance in astrophysics
  • Explore the implications of light deflection in gravitational lensing
  • Read "A First Course in General Relativity" by Bernard Schutz for deeper insights
USEFUL FOR

Astronomy students, physicists, and anyone interested in the applications of general relativity and gravitational effects on light.

spidey
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I saw in a website that Einstein found the deflection angle of a ray grazing the sun through this relation
alpha=4GM/c2r=1.74 arc sec
but when i used this relation by giving values i didnt get this value 1.74...wats wrong..can anyone solve this ...
 
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I got the answer 1.74...i multipled the answer by 206264 to convert it into arcsecs..
can anyone tell me how to derive this alpha...alpha=4GM/c2r
 

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