Boat with two cambered planing surfaces

A planing boat or any other vehicle employing similar mode of motion, which boat or vehicle is provided at its bottom part with at least one pair of substantially dihedral planing surfaces featuring cambered hydrodynamic profiles, which planing surfaces are successively arranged lengthwise of the boat or vehicle, have their leading and trailing edges coinciding with leading and trailing edges of their cambered profiles, a common vertical longitudinal center plane coinciding with keel lines of their dihedrals, and coinciding or being parallel to the center plane of the boat or vehicle, and half-planes protruding transversely both sides from said keel lines and common center plane,

• while vertical longitudinal sections of said planing surfaces have base lines coinciding with the base lines of the cambered profiles of these sections, said base lines define the angular positions of cambered profiles of said sections at some non-negative angles of incidence relatively the water surface, and the vertical and longitudinal positions of cambered planing surfaces of said sections are defined by the leading edge points of said cambered profiles,
• whereas said cambered planing surfaces skim in operational high-speed mode of motion along the surface of water and generate hydrodynamic lift to support at least partially said boat or vehicle by means of only positive hydrodynamic pressure on their facing downward profiled wetted surfaces,
• which said pair of cambered planing surfaces comprises:
• a forward planing surface having in the plan view half-planes being swept back relatively the keel line of its dihedral and the common vertical longitudinal center plane, and base lines of vertical longitudinal sections positioned at some non-negative angles of incidence relatively the undisturbed level of water surface, while operation of the forward planing surface causes the water surface to deflect downward and form a wave trough downstream of the trailing edges of said forward planing surface,
• and an aft planing surface located at some distance downstream, in the wake of the forward planing surface and within said wave trough, while the base lines of vertical longitudinal sections of said aft planing surface are positioned at some non-negative angles of incidence relatively the local level of water surface corresponding to the surface of said wave trough,
• wherein:
• each section by vertical longitudinal plane of said aft cambered planing surface is displaced vertically relatively the base line of section of the forward cambered planing surface in the same vertical longitudinal plane by the distance being equal to the vertical distance from said base line of the section of the forward planing surface to the surface of the wave trough at the location of the section of the aft planing surface, and the base line of each of said vertical longitudinal sections of aft cambered planing surface is inclined relatively the base line of vertical longitudinal section of the forward cambered planing surface in the same vertical longitudinal plane by the angle being equal to the sum of the angle of the slope of the surface of the wave trough in said vertical longitudinal section at the location of said section of aft planing surface and the difference between the non-negative angle of incidence of the base line of said section of the aft planing surface relatively the local surface of water corresponding to the surface of the wave trough and the non-negative angle of incidence of the base line of the section of the forward planing surfaces relatively the level of the undisturbed water surface.