Kirchhoff equations
In fluid dynamics, the Kirchhoff equations, named after Gustav Kirchhoff, describe the motion of a rigid body in an ideal fluid.
where and
are the angular and linear velocity vectors at the point
, respectively;
is the moment of inertia tensor,
is the body's mass;
is
a unit normal to the surface of the body at the point
;
is a pressure at this point;
and
are the hydrodynamic
torque and force acting on the body, respectively;
and
likewise denote all other torques and forces acting on the
body. The integration is performed over the fluid-exposed portion of the
body's surface.