Surpassing Einstein in Determining Mercury’s Perihelion Precession |

To accurately determine Mercury’s perihelion precession, the most effective approach is to evaluate the definite integral (4) in Enhancing the Understanding of Einstein’s Explanation for Mercury’s Perihelion Precession numerically:

For those who are unaware of Vieta’s Theorem, there is an alternative:

Solving for and before evaluating .

Notice that

.

See also A Mathematical Allegory