[PREFACE.]

The rapid progress of discovery in the zone of minor planets, the anomalous forms and positions of their orbits, the small size as well as the great number of these telescopic bodies, and their peculiar relations to Jupiter, the massive planet next exterior,—all entitle this part of the system to more particular consideration than it has hitherto received. The following essay is designed, therefore, to supply an obvious want. Its results are given in some detail up to the date of publication. Part I. presents in a popular form the leading historical facts as to the discovery of Ceres, Pallas, Juno, Vesta, and Astræa; a tabular statement of the dates and places of discovery for the entire group; a list of the names of discoverers, with the number of minor planets detected by each; and a table of the principal elements so far as computed.

In Part II. this descriptive summary is followed by questions relating to the origin of the cluster; the elimination of members from particular parts; the eccentricities and inclinations of the orbits; and the relation of the zone to comets of short period. The elements are those given in the Paris Annuaire for 1887, or in recent numbers of the Circular zum Berliner Astronomischen Jahrbuch.

DANIEL KIRKWOOD.

Bloomington, Indiana, November, 1887.


[CONTENTS.]

[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