An excerpt from the beginning of the second chapter: II. ON THE CONSTRUCTION OF THE TABLES OF MELPOMENE. BEFORE entering into the details of the construction of the tables, I would take the liberty of making some general remarks on the treatment of asteroids at the present time. After two oppositions it is possible to determine the elements of an asteroid near enough the truth for computing the perturbations, and I think those by Jupiter are sufficient for our present purposes. Three oppositions, then, admit the more ...
Read More
An excerpt from the beginning of the second chapter: II. ON THE CONSTRUCTION OF THE TABLES OF MELPOMENE. BEFORE entering into the details of the construction of the tables, I would take the liberty of making some general remarks on the treatment of asteroids at the present time. After two oppositions it is possible to determine the elements of an asteroid near enough the truth for computing the perturbations, and I think those by Jupiter are sufficient for our present purposes. Three oppositions, then, admit the more accurate determination of the elements, and after about eight oppositions they can be finally corrected for the computation of the general perturbations of the first order by Jupiter. Preliminary tables constructed upon them will give, for the next fifty years, the ephemeris near enough to find the planet, and for forming normal places. After that, a computer can do something definite; then he may compute the perturbations of the second order by using those known of the first order, or he may find it necessary to recompute the first order with the elements upon which the preliminary tables are based. And only then it will be necessary to calculate the perturbations by Saturn also. Our duty in our time with respect to the asteroids is, to avoid all superfluous work on them, and to get out as soon as possible such preliminary tables. Those asteroids which are of special interest, as, for instance, Leucothea and Euphrosyne for the determination of the mass of Jupiter, must of course be treated in a different manner. For those it will be best to carry on the special perturbations by Saturn, Jupiter, Mars, Earth, and Venus for a number of years. A number of small terms and equations have been omitted, since six decimal places were found to be sufficient in the tables. If we denote the Arguments in the following manner, ....
Read Less
Add this copy of Tables of Melpomene to cart. $14.90, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2016 by Hansebooks.
Add this copy of Tables of Melpomene to cart. $38.35, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Hansebooks.
Add this copy of Tables of Melpomene to cart. $53.62, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
