I assume you're referring to a boat with a large gyradius in roll being resistant to capsize by a sudden, brief gust and/or wave action. Does Marchaj address this?
Stephen
Yes he does, In detail. he also draws on 2 good papers on sailing yacht capsize and dynamic stability:
Kirkman Nagle Salsish SNAME 1983
Stephens, Kirkman, Peterson SNAME 1981
I am also aware of two other detailed studies One Japanese one Australian that all corroborate.
This means reducing weight aloft is a mixed bag. It lowers VCG and thus increases LPS, but it also decreases gyradius in roll. Do I have that right, Mike?
Yes
Surprisingly to most people the rig is the main contributor to the roll moment of inertia (Ir). For the benefit of clarity to others Ir=m.k^2 that is the inertia is equal to the mass centre of gravity times the distance from the rotational centre to the COG squared. K is called the radius of gyration.
There are three ways of increasing this;
A long strut and a big ballast bulb .
Weight in the rig.
Forcing entrained water to rotate along with the hull (to some extent).
In a dynamic environment Ir is a very important element in resisting capsize due to breaking waves.
In layman’s terms “the mass does not have time to react to the force of the wave”. Also our concepts of static stability are no more than a rough guide in the “open system” that a boat is, when in a seaway where dynamic forces tend to predominate considerations of stability.
As an analogy of dynamic boat stability Crag talked before of motorbikes being inherently unstable and like a bicycle that knife edge stability requires a support (a foot) when stopped but when moving it is all dynamics.
Cats are a different paradigm altogether, the work required to invert one (area under the RM curve) is huge compared with a mono-hull and given their absolute form stability you want as light a rig as possible or we have the immovable object (Inertia) fighting the irresistible force (RM) and the consequent forces are not conducive to structural reliability. A float on the mast is a good idea in a smaller cat since it significantly aids recovery. Large cats are so stable as to be virtually un-capsizable and are a arguably a safer hullform than many of the monohulls that some of us have been lambasting.
Power boats are different again (but that will really confuse the issue) suffice it for the moment to leave the powerboat to the lottery of being engineless in heavy weather ………………
Cheers