Mercury's Precession and Relativity

The video discusses the precession of Mercury and how it was initially observed to be 5,600 arc seconds per century, but Newton's laws predicted 5,557 arc seconds. The discrepancy of 43 arc seconds was later explained by Einstein's theories of relativity, which account for time running slower due to Mercury's proximity to the Sun's gravitational force and its fast orbit. Historical measurements by Urbain Le Verrier and Simon Newcomb confirmed this discrepancy. Einstein's equation, derived from relativity, accurately calculates the precession, proving the theory of relativity through Mercury's orbit.

What was the observed precession of Mercury per century?

• 5,600 arc seconds

• 38 arc seconds

• 5,557 arc seconds

• 43 arc seconds

Why was there a discrepancy in Mercury's precession according to Newton's laws?

• Mercury's orbit is perfectly circular

• Mercury's speed is slower than calculated

• Newton's laws do not account for relativity

• The Sun's gravity is weaker than expected

How does general relativity explain the time discrepancy for Mercury?

• Time runs faster near strong gravitational fields

• Time runs slower near strong gravitational fields

• Mercury's orbit is slower

• Mercury is further from the Sun

Who first analyzed Mercury's transitions across the Sun's disk?

• Urbain Le Verrier

• Albert Einstein

• Isaac Newton

• Simon Newcomb

What was Simon Newcomb's contribution to understanding Mercury's precession?

• He refined the observed shift to 43 arc seconds

• He discovered the precession

• He calculated the speed of light

• He disproved Le Verrier's findings

What does the derived equation for Mercury's precession shift include?

• Only the speed of light

• The mass of Mercury

• The gravitational constant

• The semi-major axis and orbital period

How is the precession shift per revolution expressed?

• In meters

• In radians

• In degrees

• In kilometers

How many revolutions does Mercury complete in a century?

• 365

• 415

• 500

• 88

What is the significance of the 43 arc seconds per century discrepancy?

• It proves Newton's laws are complete

• It validates the theories of relativity

• It shows Mercury's orbit is circular

• It indicates a measurement error

What effect does special relativity have on Mercury's time?

• Time stops completely

• Time runs faster for Mercury

• Time runs slower for Mercury

• Time is unaffected