How is metacentric height calculated for catamarans, trimarans, and other multihull ships?
Short answerThe same center-of-gravity and center-of-buoyancy relationships still apply, though several hulls make the geometry and mathematics more complicated.
NotesA multihull still displaces a combined volume of water with one overall center of buoyancy. It also has a center of gravity determined by the total distribution of mass across the structure. Those reference points still support a metacentric assessment when the ship heels. Multiple hulls change how the displaced volume shifts, so the calculation becomes more involved than for a monohull. The underlying stability concepts remain the same even when the geometry does not. This explanation stays conceptual and does not work through the mathematics.