1805. Phil.  Trans., vol. xcv.—­Experiments for ascertaining how far Telescopes will enable us to determine very small Angles, and to distinguish the real from the spurious Diameters of Celestial and Terrestrial Objects:  with an Application of the Result of these Experiments to a Series of Observations on the Nature and Magnitude of Mr. Harding’s lately discovered Star.—­On the Direction and Velocity of the Motion of the Sun and Solar System.—­Observation on the singular Figure of the Planet Saturn.

     1806. Phil.  Trans., vol. xcvi.—­On the Quantity and Velocity of
     the Solar Motion.—­Observations on the Figure, the Climate, and the
     Atmosphere of Saturn and its Ring.

1807. Phil.  Trans., vol. xcvii.—­Experiments for investigating the Cause of the Coloured Concentric Rings, discovered by Sir Isaac Newton between two Object-glasses laid one upon another.—­Observations on the Nature of the new celestial Body discovered by Dr. Olbers, and of the Comet which was expected to appear last January in its Return from the Sun.

1808. Phil.  Trans., vol. xcviii.—­Observations of a Comet, made with a view to investigate its Magnitude, and the Nature of its Illumination.  To which is added, an Account of a new Irregularity lately perceived in the Apparent Figure of the Planet Saturn.

     1809. Phil.  Trans., vol. xcix.—­Continuation of Experiments for
     investigating the Cause of Coloured Concentric Rings, and other
     Appearances of a similar Nature.

1810. Phil.  Trans., vol. c.—­Supplement to the First and Second Part of the Paper of Experiments for investigating the Cause of Coloured Concentric Rings between Object-glasses, and other Appearances of a similar Nature.

1811. Phil.  Trans., vol. ci.—­Astronomical Observations relating to the Construction of the Heavens, arranged for the Purpose of a critical Examination, the Result of which appears to throw some new Light upon the Organization of the Celestial Bodies.

     1812. Phil.  Trans., vol. cii.—­Observations of a Comet, with
     Remarks on the Construction of its different Parts.—­Observations
     of a Second Comet, with Remarks on its Construction.

     1814. Phil.  Trans., vol. civ.—­Astronomical Observations relating
     to the Sidereal Part of the Heavens, and its Connection with the
     Nebulous Part; arranged for the Purpose of a critical Examination.