By combining a recent precise measurement of the ionization energy of 87 Rb with previous measurements of the ground-state hyperfine structure and ionization energy of 85 Rb, an accurate value for the 85 Rb-87 Rb isotope shift of the 5 2 S 1/2 ground state can be determined. In turn, comparison with additional spectroscopic data makes it possible to evaluate isotope shifts for the low-lying excited states, which are accurate in most cases to about 1 MHz. For the 5 2 S 1/2 and 5 2 P 3/2 states, the specific mass-shift contribution can be determined in addition to the total shift. This information is particularly useful for spectroscopic analysis of transitions to Rydberg states and for tests of atomic theory.