It is only necessary to mention these diameters in order to indicate how wide is the difference between the asteroids and such planets as the earth, Venus, or Mars.  The entire surface of the largest asteroid, Ceres, does not equal the republic of Mexico in area.  But Ceres itself is gigantic in comparison with the vast majority of the asteroids, many of which, it is believed, do not exceed twenty miles in diameter, while there may be hundreds or thousands of others still smaller—­ten miles, five miles, or perhaps only a few rods, in diameter!

Curiously enough, the asteroid which appears brightest, and which it would naturally be inferred is the largest, really stands third in the order of measured size.  This is Vesta, whose diameter, according to Barnard, is only 239 miles.  It is estimated that the surface of Vesta possesses about four times greater light-reflecting power than the surface of Ceres.  Some observations have also shown a variation in the intensity of the light from Vesta, a most interesting fact, which becomes still more significant when considered in connection with the great variability of another most extraordinary member of the asteroidal family, Eros, which is to be described presently.

The orbits of the asteroids are scattered over a zone about 200,000,000 miles broad.  The mean distance from the sun of the nearest asteroid, Eros, is 135,000,000 miles, and that of the most distant, Thule, 400,000,000 miles.  Wide gaps exist in the asteroidal zone where few or no members of the group are to be found, and Prof.  Daniel Kirkwood long ago demonstrated the influence of Jupiter in producing these gaps.  Almost no asteroids, as he showed, revolve at such a distance from the sun that their periods of revolution are exactly commensurable with that of Jupiter.  Originally there may have been many thus situated, but the attraction of the great planet has, in the course of time, swept those zones clean.

Many of the asteroids have very eccentric orbits, and their orbits are curiously intermixed, varying widely among themselves, both in ellipticity and in inclination to the common plane of the solar system.

Considered with reference to the shape and position of its orbit, the most unique of these little worlds is Eros, which was discovered in 1898 by De Witt, at Berlin, and which, on account of its occasional near approach to the earth, has lately been utilized in a fresh attempt to obtain a closer approximation to the true distance of the sun from the earth.  The mean distance of Eros from the sun is 135,000,000 miles, its greatest distance is 166,000,000 miles, and its least distance 105,000,000 miles.  It will thus be seen that, although all the other asteroids are situated beyond Mars, Eros, at its mean distance, is nearer to the sun than Mars is.  When in aphelion, or at its greatest distance, Eros is outside of the orbit of Mars, but when in perihelion it is so much inside of Mars’s orbit that it comes surprisingly near the earth.