Calculate the precession of the perihelion of Mercury, following the approach

described in this section.

Investigate how the precession of the perihelion of a planet's orbit due to general

relativity varies as a function of the eccentricity of the orbit. Study the precession

of different elliptical orbits with different eccentricities, but with the same value

of the perihelion. Let the perihelion have the same value as for Mercury, so that

you can compare it with the results shown in this section.