Maruo’s Theorem

Added resistance due to ship motion in regular waves, , is calculated by

Maruo's theorem¹⁾ as follows:

where:

: fluid density, : gravitational acceleration, : ship speed,

: circular frequency of incident regular waves,

: angle between ship course and regular waves

(angle 0(deg.) is defined as the heading wave direction),

is a function to be determined by the distribution of singularities

which represents periodical disturbance by the ship.

Reference:

1) H. Maruo: Resistance in Waves, Research on Seakeeping Qualities of Ships in Japan,
The Society of Naval Architects of Japan, Vol.8, 1963, pp.67-102.

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