528 
[480 
480. 
ON THE EXPRESSION OF DELAUNAY’S l, g, h, IN TERMS OF 
HIS FINALLY ADOPTED CONSTANTS. 
[From the Monthly Notices of the Royal Astronomical Society, vol. xxxn. (1871—72), 
pp. 8—16.] 
We have in Delaunay’s lunar theory, 
l, the mean anomaly of the Moon, 
g, the mean distance of perigee from ascending node, 
h, the mean longitude of ascending node, 
dl dg dh 
quantities which vary directly as the time, the coefficients of t, or values of 
dt’ dt ’ dt ’ 
being given in his Theorie du Mouvement de la Lune, vol. II. pp. 237, 238. But 
these values are not expressed in terms of his constants a (or n), e, 7, finally adopted 
as explained p. 800, and it seems very desirable to obtain the expressions of l, g, li, 
in terms of these finally adopted constants: I have accordingly effected this trans 
formation (which I found less laborious than I had anticipated). It will be convenient 
to imagine the a, n, e, 7 of pp. 237, 238 replaced by A, N, E, T respectively. This 
IX 
being so, and writing to for the — of p. 800 we have, p. 800,