I. On the secular changes in the elements of the orbit of a satellite revolving about a tidally distorted planet

This memoir is a continuation of four previous papers on similar subjects. As the investigation is entirely analytical, and is rather long and complicated, it seems useless to attempt a detailed abstract, and I shall therefore confine myself to giving an outline of the results, and a few remarks on the method employed. I also here partially replace the analytical treatment of the paper itself by general reasoning, so as to give some idea of the physical causes which underlie the definite results of analysis. These general considerations are not, however, strictly appropriate to an abstract, since they do not occur in the paper, and merely serve as a rough substitute for analysis.