Expansion theory for elliptic motion of arbitrary eccentricity and semi- major axis. IX. Elliptic expansions in terms of the sectorial variables for the thirteenth, fourteenth, fifteenth, and sixteenth categories (Q1090111)

[For the former parts see the reviews above (Zbl 0619.70011).] We arrive at the end of the second step of our regularization approach, in which elliptic expansions in terms of the sectorial variables \(\theta_ j^{(i)}\) are established analytically and computationally for the thirteenth, fourteenth, fifteenth, and sixteenth categories. Finally, the second and the last collection of completed elliptic expansion is given in Appendix B, such that, the materials of Appendix A of Paper VIII and those of Appendix B of the present paper provide the reader with the elliptic expansions in terms of \(\theta_ j^{(i)}\) so explored for the second step of our regularization approach.