1. For more detail on these matters, see Hairer and Wanner [HW 96].
2. Admittedly, he did earn his Ph.D. in Europe (at Heidelberg under Max Noether (1844–1921)).
3. This manuscript can be found together with its translation in Newton [NW 68].
4. The libration of the moon is an irregularity of its motion that allows approximately 59% of the moon’s surface to be visible from the earth.
5. In astronomy, the word “anomaly” refers to the angle between the direction to an orbiting body and the direction to its last perihelion.