Papers relating to the Royal Astronomical Society, including notices of meetings; agendas; an abstract from Sir John Herschel's paper 'On the determination of the most probable orbit of a binary star from the assemblage of a great number of observed angles of position'; a lecture on Bell's calculating machine; an addendum on Lord Rosse's telescope; a lecture on instruments adapted to the measurement of small zenith distances; a lecture on American transits; a clock with conical pendulum and machinery for converting sidereal movement into mean, solar movement; abstracts of papers by Y. Villarceau on the orbits of double stars; communications relating to the new planet Hygeia; communications and correspondence relating to Lord Rosse and Mr Potter; reports on W. Lassell, Professor Powell and S.M. Drach's papers; letters on the printing of Fallows' observations; correspondence relating to Professor H.C. Schumacher; correspondence about Mr Jerwood, including a printed lecture on Neptune; and general correspondence from R. Sheepshanks, C.P. Smyth, A. de Morgan and others regarding the Royal Astronomical Society.