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Table of Contents
Preface; Acknowledgments; Contents; About the Author; 1 A Disturbing Inclination; Bernoulli and the First Orbital Properties of Ceres in 1681; The End of Heavenly Harmony: The Perturbations of Pallas; The Temple of Natural Philosophy; The Orbit of Pallas and the Geometrical Structure of Space; The Mass of Jupiter; Laplace and the Grand Inequality; References; 2 The Great Probability Debate; The Legacy of Leibniz; The Most Delicate of Mathematical Theories; The Historical Development of Probability; Equipossibility; Analogy and Probability.
The Origin of the Asteroids and the Twilight of ProbabilityThe Invention of Least Squares; Gauss and Laplace: The Mathematical Link; References; 3 The Gold Medal; Astronomy and the Republic of Letters; Rivalry; Reason and the Axiom of Solvability; The Berlin Academy Prize; The Paris Academy Prize; The Pallas Prize; The Prize Is Doubled; The Prize and the Perturbation Calculations: A Timeline; Lalande and the Asteroids; The Lack of Theoretical Work in England; Scottish Common Sense Realism: Brougham, Stewart, and Reid; Contemporary Views on the State of Astronomy in Great Britain; References.
4 The Gauss AnagramThe Origin of the Anagram; Concinnity; The Solution of the Gauss Anagram; Gauss and the Royal Society; Gauss gives up; The Royal Patrons; References; 5 Hypothetical Planets; Ludwig's Star; Vidal's Planet; Olbers' Giant Planet; Huth's Moving Star; Cassini's Planet of 1668; Cacciatore's Planet; References; 6 New Planets: The Transition from 1745 to 1804; The Planetary Gap; A Wild and Romantic Idea; Olbers' Asteroid Lectures; The First Lecture (October 25, 1802); The Second Lecture (Late 1803); Hypothesis and Theory; Lalande's Planetary Nomenclature; Pallas: Chemistry in 1803.
12 Gauss: The Great Asteroid TreatisesReferences; Appendix A; Outline placeholder; Papers Relating to the Gauss Anagram; Appendix B; Outline placeholder; The Historical Development of the Orbital Elements of Pallas; References; Index.
The Origin of the Asteroids and the Twilight of ProbabilityThe Invention of Least Squares; Gauss and Laplace: The Mathematical Link; References; 3 The Gold Medal; Astronomy and the Republic of Letters; Rivalry; Reason and the Axiom of Solvability; The Berlin Academy Prize; The Paris Academy Prize; The Pallas Prize; The Prize Is Doubled; The Prize and the Perturbation Calculations: A Timeline; Lalande and the Asteroids; The Lack of Theoretical Work in England; Scottish Common Sense Realism: Brougham, Stewart, and Reid; Contemporary Views on the State of Astronomy in Great Britain; References.
4 The Gauss AnagramThe Origin of the Anagram; Concinnity; The Solution of the Gauss Anagram; Gauss and the Royal Society; Gauss gives up; The Royal Patrons; References; 5 Hypothetical Planets; Ludwig's Star; Vidal's Planet; Olbers' Giant Planet; Huth's Moving Star; Cassini's Planet of 1668; Cacciatore's Planet; References; 6 New Planets: The Transition from 1745 to 1804; The Planetary Gap; A Wild and Romantic Idea; Olbers' Asteroid Lectures; The First Lecture (October 25, 1802); The Second Lecture (Late 1803); Hypothesis and Theory; Lalande's Planetary Nomenclature; Pallas: Chemistry in 1803.
12 Gauss: The Great Asteroid TreatisesReferences; Appendix A; Outline placeholder; Papers Relating to the Gauss Anagram; Appendix B; Outline placeholder; The Historical Development of the Orbital Elements of Pallas; References; Index.