The conservation laws in the Euler problem about two attractive centers and the integration of the dynamic equations
The article establishes that Euler’s problem of two attractive centres contains another conservation law alongside with the energy conservation
one, which is also quadratic in velocities. These conservation laws and elliptic coordinates considerably simplify the procedure of trajectory equations generation.
1. Euler L. Probleme. Un corps ètant ...
The interaction of a pair a cyclone – an anticyclone near to a sea shore
А., Шабат Б.
Проблемы гидродинамики и их математические модели. М., 1973.
Zaitsev A. A., Ivanov S. N., Yudina A. V.
cyclone, anticyclone, interaction, trajectory, conservation laws, flows.