Astronomical Prediction Based on Patterns

=Ancient Astronomy=

Ancient Babylonians
Astronomy for Physical Science - Cal State Long Beach

=Modern Astronomy=

Perturbations
Gravitation Vs. Relativity by Charles Lane Poor, PhD Full Text Link

Motion of the Planets p.132

Motion of the Planets p.138

From the Wikipedia section on Special Perturbations:

Perturbation methods are, in fact, prevalent in many areas of science. From Perturbations in Complex Molecular Systems we read the following:

Quotes
R. J. Morrison, F.A.S.L., R.N., in his "New Principia," says:

Sir Richard Phillips in his Million Factssays:

Eclipses
Sir Robert Ball, in his work The Story of the Heavens, on page 58, informs us: