On a certain doubt L. Euler had with respect to determining the rotation of the earth and of celestial bodies
Identifieur interne : 002C90 ( Main/Curation ); précédent : 002C89; suivant : 002C91On a certain doubt L. Euler had with respect to determining the rotation of the earth and of celestial bodies
Auteurs : I. Yurkina [Russie]Source :
- Studia Geophysica et Geodaetica [ 0039-3169 ] ; 1995-01-01.
Abstract
Summary: The application of Euler's postulate $$\dot H = L$$ , which determines rotation (here $$\dot H$$ denotes the derivative of the angular momentum with respect to time, L the resultant torque of exterior forces relative to the centre of inertia), to a celestial body, which is not spherically symmetric, had aroused doubts in Euler himself because of the displacement of the resultant attractive force of other celestial bodies from the said centre. As Minding had noted, it is more logical to compute the resultant torque relative to a point at which the torque has a minimum. This point should be named the attrahentis centrum after Euler. Newton was aware of this displacement of the resultant force and had mentioned it in the “Principia”. A review of Euler's works connected with this subject is given.
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DOI: 10.1007/BF02296630
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