Referee report by G. B. Airy on 'On the Secular Variation of the Moon's Mean Motion' by J. C. Adams

View transcription
                                of excentricity will have corrected them-
=selves; & so in successive semirevolutions.
([beta]) the equations in page 8, & the assump-
=tion in p.9 are sufficiently clear. But 
in the substitution made in p.9. there is 
an obscurity which I have not had leisure 
to make clear to myself - In converting 
v-v’ into terms of t, it would seem 
that mv and successive terms are 
used for v’, as if the relation of periodic 
times were unaltered - Any error 
here would (I imagine) produce error of 
the order m3. The change in the relation 
of periodic times is recognized in p.15
but it seems to me doubtful if this is early enough.
The change which Mr Adams has made 
in the coefficient is one sixth of the whole,
an exceedingly important alteration,
in reference to ancient eclipses. In noting 
this, it is also proper to note that the 2nd term 
of the expression (depending on the square 
of the disturbing force), is numerically equal 
                            
Please login to transcribe

Manuscript details

Author
John Couch Adams
Reference
RR/2/1
Series
RR
Date
1853
IIIF
Open IIIF manifest
(What's this?)
This is a link to the IIIF web URL for this item. You can drag and drop the IIIF image link into other compatible viewers

Cite as

Referee report by G. B. Airy on 'On the Secular Variation of the Moon's Mean Motion' by J. C. Adams, 1853. From The Royal Society, RR/2/1

Copy

Comments

Please login to comment