1798. Phil.  Trans., vol. lxxxviii.—­On the Discovery of Four additional Satellites of the Georgium Sidus.  The retrograde Motion of its old Satellites announced; and the Cause of their Disappearance at certain Distances from the Planet explained.

     1799. Phil.  Trans., vol. lxxxix.—­A Fourth Catalogue of the
     comparative Brightness of the Stars.

1800. Phil.  Trans., vol. xc.—­On the Power of penetrating into Space by Telescopes, with a comparative Determination of the Extent of that Power in Natural Vision, and in Telescopes of various Sizes and Constructions; illustrated by select Observations.—­Investigation of the Powers of the Prismatic Colours to heat and illuminate Objects; with Remarks that prove the different Refrangibility of radiant Heat; to which is added an Inquiry into the Method of viewing the Sun advantageously with Telescopes of large Apertures and high magnifying Powers.—­Experiments on the Refrangibility of the Invisible Rays of the Sun.—­Experiments on the Solar and on the Terrestrial Rays that occasion Heat; with a comparative View of the Laws to which Light and Heat, or rather the Rays which occasion them, are subject, in order to determine whether they are the same or different.

1801. Phil.  Trans., vol. xci.—­Observations tending to investigate the Nature of the Sun, in order to find the Causes or Symptoms of its variable Emission of Light and Heat; with Remarks on the Use that may possibly be drawn from Solar Observations.—­Additional Observations tending to investigate the Symptoms of the variable Emission of the Light and Heat of the Sun; with Trials to set aside darkening Glasses, by transmitting the Solar Rays through Liquids, and a few Remarks to remove Objections that might be made against some of the Arguments contained in the former paper.

1802. Phil.  Trans., vol. xcii.—­Observations on the two lately discovered celestial Bodies (Ceres and Pallas).—­Catalogue of 500 new Nebulae and Clusters of Stars, with Remarks on the Construction of the Heavens.

1803. Phil.  Trans., vol. xciii.—­Observations of the Transit of Mercury over the Disk of the Sun; to which is added an Investigation of the Causes which often prevent the proper Action of Mirrors.—­Account of the Changes that have happened during the last Twenty-five Years in the relative Situation of Double Stars; with an Investigation of the Cause to which they are owing.

     1804. Phil.  Trans., vol. xciv.—­Continuation of an Account of the
     Changes that have happened in the relative Situation of Double
     Stars.