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by Chapront-Touz and Chapront,
8.50" by 11.00", 164 pages,

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Lunar Tables and Programs from 4000 B.C. to A.D. 8000 contains two sets of tables for the computation of the geocentric motion of the Moon.

The first set provides time-dependent expansions of the longitude, latitude, and radius vector of the Moon, referred to the mean ecliptic and equinox of date. These tables include a large number of terms in order to ensure a sufficient precision in the present period for most users. For historians and others who do not need this full precision, procedures are given for computing middle- and low-precision coordinates that use a much smaller number of terms of the tables (with low-precision, 72 terms for the three coordinates inclusively). Included are formulae for computing coordinates referred to other reference frames, in particular the true equator and equinox of date, and for corrections of aberration.

The second set of tables provide expansions of the semimajor axis, eccentricity, sine of half the inclination, longitude of perigee, longitude of node, and mean longitude, referred to the mean ecliptic and equinox date. These tables are intended for the user who does not need high precision. For better precision, formulae for computing the osculating orbital elements from the full tables of the first set are given.

Microcomputer program listings in FORTRAN, BASIC and PASCAL are provided to implement the tables and formulae presented in the book. These programs display menus which allow easy computation of lunar coordinates in various reference frames and orbital elements.

The accuracy of the longitude in degrees, for each kind of precision, for a date in ephemeris time for various time spans for Lunar Tables and Programs from 4000 B.C. to A.D. 8000
Period Full Middle Low
1900 A.D. to 2100 A.D. 0.0004 0.005 0.03
1500 A.D. to 1900 A.D. } 0.0054 0.010 0.04
2100 A.D. to 2500 A.D.
500 A.D. to 1500 A.D. } 0.0474 0.052 0.16
2500 A.D. to 3500 A.D.
500 B.C to 500 A.D. } 0.136 0.16
3500 A.D. to 4500 A.D.
2000 B.C. to 500 B.C. } 0.37
4500 A.D. to 6000 A.D.
4000 B.C. to 2000 B.C. } 0.80
6000 A.D. to 8000 A.D.

Various programs based upon Lunar Programs and Tables From 4000 B.C. to A.D. 2800 are available from Willmann-Bell, Inc. These programs are available only to purchasers of the book. The programs and data files are protected under United States Copyright Law but are not copy protected. You must use the order form located at the back of the book and it must show the serial number for your book to purchase the program. See details to the left of this text.

From the Reviewers:

…Overall Lunar Tables and Programs from 4000 B.C. to A.D. 8000 , is a complete guide to lunar motion for the advanced astronomer. It could be useful for those interested in the prediction of lunar occultations. As well as the practical information given in the tables and programs, a considerable amount of lunar orbital theory is given that may be of use to those who have an interest in the details of celestial mechanics.

Southern Stars

…The production of this book must have been a formidable task for the publishers and printers as well as for the authors. I cannot suppose that anyone will seek to better the book for a generation or more. It is a work of great value and utility and I am more than pleased at being allowed to keep the review copy.

Journal of the British Astronomical Association