CONTENTS.

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PART I. PAGE
Planetary Discoveries before the Asteroids were known 9
Discovery of the First Asteroids 11
Table I.—Asteroids in the Order of their Discovery 17
Numbers found by the Respective Discoverers 23
Numbers discovered in the Different Months 25
Mode of Discovery 25
Names and Symbols 25
Magnitudes of the Asteroids 26
Orbits of the Asteroids 28
Table II.—Elements of the Asteroids 29
PART II.
Extent of the Zone 37
Theory of Olbers 38
Small Mass of the Asteroids 38
Limits of Perihelion Distance 39
Distribution of the Asteroids in Space 40
Law of Gap Formation 42
Commensurability of Periods with that of Jupiter 43
Orders of Commensurability 44
Elimination of very Eccentric Orbits 46
Relations between certain Adjacent Orbits 47
The Eccentricities 48
The Inclinations 49
Longitudes of the Perihelia and of the Ascending Nodes 50
The Periods 51
Origin of the Asteroids 52
Variability of Certain Asteroids 53
The Average Asteroid Orbit 54
The Relation of Short-Period Comets to the Zone of Asteroids 55
Appendix 59

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