var map = L.map('id_div').setView([51.505, -0.09], 13);
map.on('popupopen', function(e) {
var px = map.project(e.popup._latlng); // find the pixel location on the map where the popup anchor is
px.y -= e.popup._container.clientHeight/2 // find the height of the popup container, divide by 2, subtract from the Y axis of marker location
map.panTo(map.unproject(px),{animate: true}); // pan to new center
});