Quantitative behavior of non-integrable systems. II

Here we finish the proof of the Main Theorem on the L-surface, i.e., Theorem 2.1.4 in part (I) of this paper [1], to which the reader is also referred for basic notation. In Sections 3–5 we develop the basic form of the shortline method. In the subsequent papers this basic form will be be extended and modified in many different ways.