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sci.gravitational-lensing-deflection Calculator
Calculates gravitational lensing deflection angle: α = 4GM/(c²b), exactly twice the Newtonian prediction. The 1919 Eddington solar eclipse expedition measured 1.75 arcseconds deflection at the solar limb, confirming general relativity over Newtonian gravity.
Inputs
Mass Solar Masses
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Impact Parameter Kpc
Reference formula or conversion factor shown for context.
Results
deflection angle (arcsec)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
deflection angle (rad)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
Einstein ring radius
The computed radius -- half the diameter.
α = 4GM/(c²b)
Reference formula or conversion factor shown for context.