Orbital simulation from JPL (Java)/Horizons Ephemeris.

Orbital simulations by Varadi, Ghil and Runnegar (2003) provide another, slightly different series for Earth orbit eccentricity, and also a series for orbital inclination.

Orbital simulation from JPL (Java)

Orbital simulation from JPL at Nasa(Java)

Orbital simulations of twenty clones of Chariklo suggest that Chariklo will not start to regularly come within 3AU (450Gm) of Uranus for about thirty thousand years.

Orbital simulations are used to determine what orbital parameters (including orbital distance) produce the observations seen by astronomers.