Geodesic
On the Newtonian forces having Mayer’s potential
Theoretical and applied mechanics, Tome 25 (1999) no. 1, p. 61 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

One proves that the Newtonian force acting on the particle, if it is derivable from the corresponding Mayer's potential, has, in the most general case, the form of the Lorentz force. The necessary and sufficient conditions providing the existence of the mentioned Mayer's potential, obtained in the case of the holonomie rheonomic dynamical system by the authors in [2], reduce, in the case of the system consisting of a free particle, which is considered in this paper, to the equations having the form of the Maxwell's equations. One further proves that the Coriolis force, which can be considered as the Newtonian force in the dynamics of relative motion, is derivable from the corresponding Mayer's potential, which one determines, only in the case of a constant angular velocity of the moving frame. F'inally, the obtained result is illustrated by an example. 
@article{TAM_1999_25_1_a3,
     author = {{\CYRM}. {\CYRM}. Luka\v{c}evi\'c and V. {\CYRM}. \v{C}ovi\'c},
     title = {On the {Newtonian} forces having {Mayer{\textquoteright}s} potential},
     journal = {Theoretical and applied mechanics},
     pages = {61 },
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a3/}
}
TY  - JOUR
AU  - М. М. Lukačević
AU  - V. М. Čović
TI  - On the Newtonian forces having Mayer’s potential
JO  - Theoretical and applied mechanics
PY  - 1999
SP  - 61 
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a3/
LA  - en
ID  - TAM_1999_25_1_a3
ER  - 
%0 Journal Article
%A М. М. Lukačević
%A V. М. Čović
%T On the Newtonian forces having Mayer’s potential
%J Theoretical and applied mechanics
%D 1999
%P 61 
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a3/
%G en
%F TAM_1999_25_1_a3
М. М. Lukačević; V. М. Čović. On the Newtonian forces having Mayer’s potential. Theoretical and applied mechanics, Tome 25 (1999) no. 1, p. 61 . http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a3/