Theories and observations of the Moon and planets, including correspondence with J.F.W. Herschel on correction of lunar nodes; a letter from U.J.J. Le Verrier on the movement of solar perigee; letters on the printing of J.F. Encke's new method of calculating the perturbations of the minor planets, with the original written in German; a letter titled 'Encke's Comet'; letters from J.C. Adams on the secular equations of the Moon's mean longitude; a printed sheet of the diameters of the Sun, Jupiter and Saturn's Ring, as observed at Durham; letters and list of the errors in the tables of Saturn; and other correspondence concerning solar and lunar theories and tables, including printed pages from the supplement of the 'Philosophical Magazine' on the theory of the Moon's motion by J. Challis.