Abstract
UDC 532.62:532.592: 530.18: 534.1:541.24:621.319.7
Analytically it is found that the equilibrium form of a charged drop in a uniform electrostatic field, which in calculations of the first order of smallness for the size of stationary deformation, can be considered spheroidal, and its eccentricity depends on the charge size and on the intensity of an external electrostatic field. On the threshold of loosing stability in relation to the superposition of its own and of the polarizing charges, the square of the equilibrium eccentricity of a strongly charged drop in a weak field does not exceed 0.34, and the square equilibrium eccentricity of a weakly charged drop in a strong field does not exceed 0.78 (in view of an opportunity to realize instability).
Keywords: spheroidal drop, electrostatic field, charge, equilibrium form of a drop.