Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 74-80
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E. A. Grebenikov. The existence of the exact symmetric solutions in the plane Newton problem of many bodies. Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 74-80. http://geodesic.mathdoc.fr/item/MM_1998_10_8_a6/
@article{MM_1998_10_8_a6,
author = {E. A. Grebenikov},
title = {The existence of the exact symmetric solutions in the plane {Newton} problem of many bodies},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {74--80},
year = {1998},
volume = {10},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1998_10_8_a6/}
}
TY - JOUR
AU - E. A. Grebenikov
TI - The existence of the exact symmetric solutions in the plane Newton problem of many bodies
JO - Matematičeskoe modelirovanie
PY - 1998
SP - 74
EP - 80
VL - 10
IS - 8
UR - http://geodesic.mathdoc.fr/item/MM_1998_10_8_a6/
LA - ru
ID - MM_1998_10_8_a6
ER -
%0 Journal Article
%A E. A. Grebenikov
%T The existence of the exact symmetric solutions in the plane Newton problem of many bodies
%J Matematičeskoe modelirovanie
%D 1998
%P 74-80
%V 10
%N 8
%U http://geodesic.mathdoc.fr/item/MM_1998_10_8_a6/
%G ru
%F MM_1998_10_8_a6
The existence of a new class of the exact symmetric solutions is proved for differential equations of movement in the plane Newton problem of $n+1$ bodies, vectorially represented by correct, scale-similarly to self varied polygon, rotated with variable angular speed around the centre $P_0$.
