[Letters to Editor]

Details [Letters to Editor] [Letters to Editor]

Apr 1921

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1921natur.107..170e&link_type=abstract

Nature, Volume 107, Issue 2684, pp. 170 (1921).

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I AM indebted to the Editor's courtesy for the opportunity to comment on the foregoing letter. In deciding whether an approximation is allowable, regard must be had to the problem to which it is to be applied. It is true that equation (3) neglects a term of importance in the motion of the apse, and is therefore not valid for the problem of the perihelion of Mercury; but there may be other problems for which the approximation can be justified. One of these is the calculation of the Gμν for continuous matter on p. 59 of my ``Report''. My proof starts with the approximate calculation of the line-element in a sphere which is ultimately made infinitely small; I think that the justification of the neglect of m21 given in § 36 is correct, though the argument is intricate, and I would welcome detailed criticism. But, for example, my formulæ are not sufficiently accurate to give the rotation of the apse-line of a particle moving freely through a diffuse spherical nebula.

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