AntarcticPilot
Well-known member
The maths is far from simple, because all simple approaches make unrealistic assumptions about how the line will stack on the drum. Even if the line stacked perfectly on the drum, with nice even layers, do the successive layers match the dips between rows on the preceding layer or not? It makes a big difference. As reefing drums don't include a feed mechanism to ensure the line is laid in a particular pattern, it will probably vary every time the line is wound in.
Realistic stacking problems are a research topic! I've seen stuff about the analogous problem of filling an arbitrary volume with as many uniform spheres as possible, and it isn't at all simple. There are simple solutions for unbounded spaces (e.g. atoms in crystals) but not for bounded spaces (like the drum of reefing gear, or a jar of marbles). This is even worse in that you're filling space with a cylindrical object of unbounded length.
As stated by @Refueler above, the only good answer is to use line of the diameter and length recommended by the manufacturer.
Realistic stacking problems are a research topic! I've seen stuff about the analogous problem of filling an arbitrary volume with as many uniform spheres as possible, and it isn't at all simple. There are simple solutions for unbounded spaces (e.g. atoms in crystals) but not for bounded spaces (like the drum of reefing gear, or a jar of marbles). This is even worse in that you're filling space with a cylindrical object of unbounded length.
As stated by @Refueler above, the only good answer is to use line of the diameter and length recommended by the manufacturer.