RELATIONSHIPS FOR MOTION DESCRIBED IN ANY TWO ROTATION ALREFE RENCEF RAMES

摘要

In thispaperthe definitions ofthe relative derivatives ofa vector w ith respectto tim e in any reference fram e by using the notation ofvectrix are proposed. It is further show n that w ith the help of vectrix one can treat the relative derivatives m ore clearly and m ore rigorously w hen m ultiple reference fram es are concerned. Very usefulrelationships betw een the first order relative derivatives described in any tw o reference fram es are derived. Relationshipsfor the second order relative deriva- tivesare also presented in detail. A new conceptcalled “rotation induced acceleration”w hich iscaused by the rotation of tw o reference fram es w hen m otion is necessarily described in them is presented. The resultobtained in thispaper isthe generalization ofthe acceleration theorem given in convention- altheoreticalm echanics.