How to calculate the angle of loll

How to calculate the angle of loll

The angle of loll for a given vessel under given conditions can be determined mathematically by the values of GM, the metacentric height, and BM, the metacentric radius[1][2]. The formula for the angle of loll is tan θ = √2GM/BM, where θ is the angle of loll[2]. The formula for calculating GM at the angle of loll is GM = 2(Initial negative GM) x Sec θ[2]. The angle of loll occurs at the inflection point when the GZ or the righting lever becomes zero while transforming from a negative value to a positive value[1]. The other points on the curve where the GZ is zero are when the ship is in a natural upright state that is not disturbed by external forces[1].

Citations:

[1] What is Angle Of Loll in Ships? https://www.marineinsight.com/naval-architecture/angle-of-loll/

[2] Angle Of Loll- A Thorough Explanation https://sailorinsight.com/angle-of-loll-a-thorough-explanation/

By Perplexity at https://www.perplexity.ai/search/6fc9fc45-d008-418a-b331-0aca6f5b9b02?s=m