B1 衛星制御技術から見たゆで卵の回転運動

概要

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In this paper, attitude behavior of boiled eggs rotating on the table is concerned. After introducing a new paper concerning this item, the author tries different approach which admit inclination of the total angular momentum vector from the zenith. Rising of the egg or elevation of the mass center is explained from the standpoint of attitude dynamics/control technology. A very simple approximate second order equation of attitude motion of spinning tops with small inclination angles is derived. It is pointed out that (1) positional relation between contact points and angular velocity vectors is especially important, (2) the angular momentum vectors change their direction from zenith to several ten degrees down which decrease nutation angles or stand up the spinning axes and so mass centers, (3) a condition to curvature of the spinning axis for sleeping top is derived.
社団法人日本機械学会の論文
2003-01-23