Axial piston machine having a conical piston

An axial piston machine, comprising:

• a housing;
• a drive shaft mounted in the housing in such a way so as to be rotatable with respect to a first axis of rotation;
• a cylinder drum mounted so as to be rotatable with respect to a second axis of rotation, the cylinder drum defining at least one circular-cylindrical cylinder bore;
• and
• an elongate piston accommodated in the at least one circular-cylindrical cylinder bore in a manner which allows linear motion, the piston having (i) a first end connected to the drive shaft by a ball joint, (ii) a section in the form of a circular cone which tapers toward the first end, and (iii) a spherical section at a second end situated opposite the first end,
• wherein the cone defined by the section in the form of a circular cone merges without offsets and kinks into the spherical section, and
• wherein the piston has a flat end face at the second end which forms a corner with the spherical section.