Asymptotic velocity for four celestial bodies.

Asymptotic velocity is defined as the Cesàro limit of velocity. As such, its existence has been proved for bounded interaction potentials. This is known to be wrong in celestial mechanics with four or more bodies.

Laparoscopic anterior hemifundoplication and hiatoplasty for the treatment of upside-down stomach: mid- and long-term results after 40 patients.

Background: Treatment of type 4 hiatal hernia using a minimally invasive approach is challenging and requires good familiarity with this technique.

Methods: From October 1992 to August 2010, 40 patients with a median age of 68 years underwent laparoscopic anterior hemifundoplication surgery for upside-down stomach and were included in our prospective study. The median symptoms duration was 5 years.