This formula was adopted by M. Chapront-Touze & J. Chapront in the shortened version of the ELP lunar theory in their “Lunar Tables and Programs. Title: Lunar tables and programs from B.C. to A.D. Authors: Chapront- TouzĂ©, M.; Chapront, J. Publication: Lunar tables and programs from B.C. Michelle Chapront-Touze is the author of Lunar Tables and Programs from B.C. to A.D. ( avg rating, 0 ratings, 0 reviews, published ).

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These programs are available only to purchasers of the book. 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.

The second set of tables provide expansions of the semimajor axis, eccentricity, sine of half the hables, longitude of perigee, longitude of node, and mean longitude, referred to the mean ecliptic and equinox date. You must use the order form located at the back of the tab,es and it must show the serial number for your book to purchase the program.


These programs display menus which allow easy computation of lunar coordinates in various reference frames and orbital elements. Lunar Tables and Programs from B. The first set provides time-dependent expansions of the tabpes, latitude, and radius vector of the Moon, referred to the mean ecliptic and equinox of date.

The programs and data files are protected under United States Copyright Law but are not copy protected. For better precision, formulae for computing the osculating orbital elements from the full tables of the first set are given. C to A. For historians and others who do not need this full precision, procedures are proframs 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.

It could be useful for those interested in the prediction of lunar occultations.

Lunar Tables and Programs from B.C. to A.D. by Michelle Chapront-Touze and Jean Chapront

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 B. These tables include a large number of terms in order to ensure a sufficient precision in the present period for most users.


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. See details to the left of this text. These tables are intended for the user who does not need high precision.

Activation requires a response to an email that we will send to this address. As well as the practical information given in the tables and protrams, 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.