Faculty of Physics
M.V.Lomonosov Moscow State University
Theoretical and mathematical physics

## Generalized dynamical equations of plane curvilinear motion of a material body on a trench with account of a friction forces (their numerical analysis in some special cases)

Memoirs of the Faculty of Physics 2017. N 1.

In this paper we have derived the general dynamic equations of a plane curvilinear motion, taking into account the forces as a viscous as and dry friction. It’s founded a closed system of four nonlinear differential equations. Its analyzes of the solution in some special cases illustrated by the graphical in the view of different trajectories which charactering of the plane motion.

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Physics of Earth, atmosphere, and hydrosphere

## Construction of a method for statistical definition of the slips level of total electron content by using GPS observations.

### V. I. Zakharov$^{1,2}$, Yu. V. Yasyukevich$^2$, V. E. Pronin$^1$

Memoirs of the Faculty of Physics 2017. N 1.

The paper proposes a method for determining the level above which can be considered a slips in determining the time rate of total electron content (TEC). The method is based on a statistical estimation of the properties of the distribution for the studied parameter. The aim of the method is the experimental determination of the threshold values of TEC jumps, associated with the "tails" of the studied distributions for a given physically adequate level of significance defined by latitudinal properties of geo- and heliophysical conditions. It was found that the threshold value (from which the measured values can be considered as statistical noise) depends on the latitude of the observation region. The maximum of threshold is for the Arctic region, minimum - to the middle lattitude band stations. The method application performed for different sets of 400 IGS network stations located in the high (200 plants), middle (over 100) and equatorial latitudes (over 100 stations) respectively. The test methodics is conducted for the 2010 and 2014 in a variety of geo- and heliophysical conditions and phases of the solar cycle 24. As the level of significance we selected range "two dispersions".

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