This chapter reviews the phenomena Newton cites. It introduces Römer’s measurement of a finite speed of light obtained from eclipses of one of Jupiter’s moons. It reviews Newton’s Phenomenon 1 and the data he cites in support of the area rule and harmonic rule for Jupiter’s moons. It introduces Newton’s phenomenon 2 and the data he cites in support of the area and harmonic rules for satellites of Saturn. It reviews Newton’s phenomenon 3, that the orbits of the planets encompass the sun, his phenomenon 4, Kepler’s harmonic rule for the planets, and his phenomenon 5, Kepler’s area rule for the planets. Appendix 1 gives details of Römer’s calculation. Appendix 2 gives a more detailed assessment of the satellite data cited by Newton. Appendix 3 gives details of Kepler’s determinations of periods and mean distances, as well as Kepler’s equation for area rule motion in his elliptical orbits.
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