Stability of Ships and Other Bodies

This book contains innovative ideas. In fact, the book creates a revolution in the understanding of ship stability. One of the chief problems in ship stability is the rolling (ship rotation) which was treated in the past as a simple pendulum with damping (or without) under external forces (or without such as waves, wind etc).  This common mistake in this approach is rooted in  the assumption that the location of the rotating point.  Mistakenly, it was assumed that the rotation point is at the metacenter, an imaginary point which measures the ship's stability.  In fact, all the books on stability, that were examined, believe in this mistake. This assumption is wrong! Even for stationary conditions!
Furthermore, the rotation point (line) is moving absolutely and relatively to the body (even for quasi--static stability). In other words, the rotation point is floating, depending on the geometry, a fact which was discovered by Bar-Meir.
Even with all other mistakes infecting the ship stability, this error can reach to 400\% (would you would like to be in
ship build with design of error of 400%?). For any pendulum, the rotation point move relatively to the body, creates two effects: the moment of inertia changes and the pendulum becomes a double pendulum. The double pendulum has two rotating arms attached to each other. The double pendulum has no regular period and exhibits chaotic behavior. Large sums of money were spent on the finding the natural frequency something that does not exist consequence of erroneous belief.  This book is the only book (currently) describing these phenomena. This book also describes the physical transfer mechanism from one rotation mode (like roll) to another (like pitch). The book also describes the transfer mechanism from a linear motion to a rotational motion and the reverse. To appreciate these points consider the status of knowledge of ship stability before this book. There was no physical transfer mechanism and it was supposed to be magic that results from wrong governing equations. This seminal work for the first time answer questions like how the energy and momentum are transferred from one mode to another and why (example roll to pitch or heave to roll). When you know why it something happened you more likely be able calculate it.

The reason that these developments, first depicted in this book, is because of the new direct examination method.
This innovative method also has a byproduct that shows a way to calculate the circular segment centroid.
Nevertheless, the new technique to calculate the centroid is extremity far from being the main and only advantage.
This technique examines the ship stability from physical point of view which is the core usefulness of the technique.
An example of the usefulness of this method is the stability dome. The metacenter technique (the old technique) was centered around the committee (IMO) without real understanding the physics of stability. In other words, the metacenter technique is only the beginning (realizing the movement of buoyancy centroid which was discovered by the French engineer Pierre Bouguer. The improvements to the metacenter technique which were added in this book like dimensional analysis are not sufficient enough to improve the metacenter technique to the point were it shows the physics clearly. These statements might look brazen yet, this undersign believe, they are not enough to show the advances have made in this book.