Classical Physics

    

A New Theory on the Derivation of Metacentric Radius Governing the Stability of Ships

Authors: Tsutomu Hori, Manami Hori

In this paper, we develop a new theory on the derivation of the transverse metacentric radius which governs the stability of ships. As a new development in its derivation process, it was shown that the direction of movement of the center of buoyancy due to lateral inclination of ship is the direction of the half angle of the heel angle. By finding it, we were able to derive a metacentric radius worthy of its name by showing that the metacentric radius correctly represents the radius centered on the metacenter, which is the center of inclination.

Comments: 17 Pages, 3 Figures, 39 Equations, 39 References, 3 Appendices.
Published in the Bulletin of Nagasaki Institute of Applied Science in Japan, 2022 (June), Vol.62, No.1, Research Notes in Mathematical and Physical Science, pp.51~67.

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Submission history

[v1] 2021-11-03 02:30:58
[v2] 2021-11-15 01:25:19
[v3] 2022-07-21 00:44:49
[v4] 2023-05-09 01:07:59

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