E418 -- Theoria motuum lunae

(Theory of lunar motion)

Originally published with the full title: Theoria motuum lunae, nova methodo pertractata una cum tabulis astronomicis, unde ad quodvis tempus loca lunae expedite computari possunt incredibili studio atque indefesso labore trium academicorum: Johannis Alberti Euler, Wolffgangi Ludovici Krafft, Johannis Andreae Lexell. Opus dirigente Leonhardo Eulero acad. scient. Borussicae directore vicennali et socio acad. Petrop. Parisin. et Lond. Petropoli, typis academiae imperialis scientiarum. 1772.

Summary:

In addition to the “praefatio,” it also contains two “libri.” The first book (continens ipsam lunae theoriam) contains three “partes”:

Investigatio aequationum differentialium, motum lunae continentium.
Evolutio numerica aequationum pro binis coordinatis x et y, in praecedente parte constitutarum.
Evolutio numerica tertiae aequationis pro coordinata z.

Then comes a “continuatio partis secundae”: Evolutio numerica aequationum pro iis membris coordinatarum x et y, quorum characteres involvunt inclinationem orbitae lunaris ad eclipticam.

The second book (continens adplicationem theoriae lunae ad calculum astronomicum) contains two “partes”:

Comparatio formularum inventarum cum tabulis celeberrimi de Clairault.
Constructio tabularum astronomicarum ex formulis supra inventis.

According to the records, it was presented to the St. Petersburg Academy on October 20, 1768.

Publication:

Originally published as a book in 1772
Opera Omnia: Series 2, Volume 22

Documents Available:

The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E418 include:
- Fuller AT., “Maxwell, James, Clerk Cambridge manuscripts - extracts relating to control and stability .2..” International Journal of Control, 36 (4), pp. 547-574 (1982).
- Seymour PAH., “Navigational stimuli in the development of mathematical science.” Journal of Navigation, 51 (1), pp. 106-116 (Jan 1998).

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