Mathematic modeling of a new inlay buoyancy artefact

The novel buoyancy artefact concept for the use in mass metrology enables the determination and correction of systematic air buoyancy effects caused by measurements outside a vacuum. In contrast to other buoyancy artefacts with a nominal mass of 1 kg, the new artefact, called inlay artefact, has a smaller volume resulting from an enclosed tungsten core. The theoretical design of the new artefact consists of dismountable discs with spherical distance pieces and a cylinder. This work focuses on the design and mathematical model considering limiting factors caused by the handling and the geometry of the comparators used.