It was only after the publication of Kepler's Rudolphine Table (1626) that more exact results could be obtained.
From her universal accomplishments she was called the "Silesian Pallas," and the publication of her work, Urania propitia (Oels, 1650), a simplification of the Rudolphine Tables, gained her a European reputation.
This erroneous estimate was formed when he had seen the Descriptio but had not read it; and his opinion was very different when he became acquainted with the nature of logarithms. The dedication of his Ephemeris for 1620 consists of a letter to Napier dated the 28th of July 1619, and he there congratulates him warmly on his invention and on the benefit he has conferred upon astronomy generally and upon Kepler's own Rudolphine tables.
The pursuit of science needed a more tranquil shelter; and on the raising of the blockade, Kepler obtained permission to transfer his types to Ulm, where, in September 1627, the Rudolphine Tables were at length given to the world.
He now set himself to the revision of the Rudolphine Tables (published by Kepler in 1627), and in the progress of his task became convinced that a transit of Venus overlooked by Kepler would nevertheless occur on the 24th of November (O.S.) 1639.
Instead, However, Of Employing The Golden Numbers And Epacts For The Determination Of Easter And The Movable Feasts, It Was Resolved That The Equinox And The Paschal Moon Should Be Found By Astronomical Computation From The Rudolphine Tables.
The Rudolphine Tables (Ulm, 1627), computed by him from elliptic elements, retained authority for a century, and have in principle never been superseded.