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The successiveThe successive oppositions of Mars occur too near to the same points of his orbit; and the proportions of a revolution described by Jupiter, Saturn, and Uranus, are too small to allow of the observations being yet employed for amending their elements. In making use of the final results, the weightMr. Airy's Results of the Cambridge Observationsto have been omitted; but it scarcely affects the deductions in this paper.' In making the calculations for Pallas, 1835, a systematic error in the Meridian Ephemeris for that planet was discovered. A corrected MBT copy was furnished to me by the kindness of the Superintendant of the MBT Trainers Nautical Almanac; and the following errors of tables, &c. are deduced from it, which the reader is requested to substitute for those given for the same days in the Cambridge Observations for 1835, page 133.The following are the authorities for the geocentric longitudes and latitudes used in the computation of the heliocentric errors:Those of Venus, Mars, Jupiter, and Saturn, are extracted from Schumacher's Ephemerides.Those of Mercury and Uranus, for 1833, are extracted from Schumacher's Ephemeris; those for 1834, and those of Uranus, for 1835, are interpolated from the Connaissance des Temps. Those of Mercury, for 1835, were furnished by Lieut. Stratford, from a MS. computed I believe by Mr. Schumacher.Those of Vesta and Juno, for 1833, are computed from the right ascension and declination in the Berliner Jahrbuch for 1833 ; and those of Vesta, Juno, Pallas, and Ceres, for 1834 and 1835, from the right ascension and declination of the Nautical Almanac.The heliocentric longitudes and MBT Shoes latitudes are taken from the Berliner Jahrbuch for 1833, MBT Shoes Sale and the Nautical Almanac for 1834 and 1835. Those of Vesta and Juno, for 1833 which are not given in the Berliner Jahrbuch, are computed from the geocentric longitude, latitude, and log. distance, given in that work.The weight of each result, as to the error of heliocentric longitude, hasbeen computed by the following formula:These expressions, it is presumed, are abundantly accurate for the investigations which may be founded on these
