Arbuthnot was an amiable individual, and Swift said that the only fault an enemy could lay upon him was a slight waddle in his walk. His conviviality and his royal connections made him an important figure in the Royal Society. In 1705, Arbuthnot became physician extraordinary to Queen Anne, and at the same time was put on the board trying to publish the "Historia coelestius." Newton and Edmund Halley wanted it published immediately, to support their work on orbits, while John Flamsteed, the Royal Astronomer whose observations they were, wanted to keep the data secret until he had perfected it. The result was that Arbuthnot used his leverage as friend and physician to Prince George, whose money was paying for the publication, to force Flamsteed to allow it out, albeit with serious errors, in 1712. Also as a scholar, Arbuthnot took up an interest in antiquities and published "Tables of Grecian, Roman, and Jewish measures, weights and coins; reduced to the English standard" in 1705, 1707, 1709, and, expanded with a preface (which indicated that his second son, Charles, was born in 1705), in 1727 and 1747.