My binary terrestrial planets are roughly the size of earth and they are tidally locked with one another. They are 12,000 miles (19,312 km) apart. That distance is based off of this article, http://phys.org/news/2014-12-binary-terrestrial-planets.html, which suggests a likely distance of only three planet radii.
No axial tilt. The atmosphere is similar to Earth. I know the gravitational pull would cause these planets to bulge toward one another. My question is: how much, if any, water on these planets would remain at the poles?