The Scientific Papers of John Couch Adams volume 1

Cover The Scientific Papers of John Couch Adams volume 1
The Scientific Papers of John Couch Adams volume 1
John Couch Adams
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30 234 NOTE ON THE INEQUALITY IN THE MOON'S LATITUDE [29 Moon's orbit with it, so that the inclination of the Moon's orbit to the variable ecliptic is not liable to any secular variation.
In the same place he finds an analytical expression for the perturbation of latitude in reference to the variable ecliptic which is caused by the secular change in that plane.
Now the point to be noticed is that this analytical expression given by Laplace requires only the very slightest possible development t
...o furnish for the inequality in question a result which is identical with the value given by the formula of Hansen, in which displacements of the ecliptic varying not only as the first but also as the second power of the time are taken into account. It is true that Laplace imagined that this in- equality would turn out to be insensible, but this was only because he had not attempted to turn his formula into numbers.
Analysis.
I. Investigation of the inequality in the Moon's latitude which is due to the secular motion of the plane of the ecliptic, making the same sup- positions and employing the same data as the Astronomer Royal.


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