Abstract:
The problems of dynamics of celestial bodies are considered which in the literature are explained by instability and randomness of movements. The dynamics of planets orbits on an interval 100 million years was investigated by new numerical method and its stability is established. The same method is used for computing movements of two asteroids Apophis and 1950DA. The evolution of their movement on an interval of 1000 is investigated. The moments of their closest passages at the Earth are defined. The different ways of transformation of asteroids trajectories into orbits of the Earth’s satellites are considered. The problems of interest are discussed from the different points of view.

Abstract:
To study climate evolution, we consider the rotational motion of the Earth. The law of angular momentum change is analyzed, based on which the differential equations of rotational motion are derived. Problems with initial conditions are discussed and the algorithm of the numerical solution is presented. The equations are numerically integrated for the action of each planet, the Sun and the Moon on the Earth separately over 10 kyr. Results are analyzed and compared to solutions of other authors and to observation data.

Abstract:
The
influence of light source on the receiver as electromagnetic interaction is
considered. The mechanical influence of the moving charged body on a motionless
one is defined in the experimental laws of electrodynamics. These laws
determine the changes of parameters of the light source that moves relatively
the receiver. The laws of change of light frequency and its direction of the
moving source are derived from the laws of electromagnetism. At small velocity
of source movement they coincide with classical results: the Doppler effect and
phenomenon of aberration. The interaction of the source and receiver depends
only on their velocity of movement relatively each other. There is no world
medium, the relative movement to which would influence the characteristics of
light source.

Abstract:
The Galactica System is intended for resolving N-body interaction problems. It is based on a high-precision method for solving differential equations of motion of bodies whose interaction forces are inversely proportional to the squared distance. The differential equations of motion and their solution method are given in paper. The structure of the input file, the files of initial conditions and output files are described. The examples of these files for different solved tasks are presented. The actions of executable files are explained. The paper describes all the theoretical and practical issues so that even a novice researcher could use Galactica System in his/her works.

Abstract:
Galactica software has been developed to clarify the astronomical theory of climate change. It is designed to provide the numerical solution of problems of the gravitational interaction of bodies. It tackles a whole range of problems: the evolution of the solar system for 100 million years, the evolution of Earth's rotation axis, the influence of the Sun on the Mercury’s perihelion, the motion of near-Earth asteroids, the optimal motion of the spacecraft and the destruction of a system of interacting bodies. The Galactica system is developed for the free access. It contains everything that is needed to solve problems, even a novice researcher..

Abstract:
Contemporary scientific view of micro- and
macro-world was built on a chain of successive hypotheses, each link of which
has no reliable evidence. The examples of scientific concepts “Big Bang” and “neutrino”
show the formation of erroneous hypotheses that lead to the emergence of these
concepts. In addition, the accepted hypotheses lead to the emergence of new
objects of scientific vision of the world, which in the real world are absent.
The paper proves the fallacy of hypotheses about the dependence of mass on velocity,
about particles of light, about light speed of gravity propagation, about “Black
holes”, about gravitational waves etc. This paper is the introduction to the
book^{1}, which, in turn, based on the book “The Electromagnetic and
Gravitational Actions (The Non-Relativistic Tractates)”. The last book was
published 20 years ago and aroused great interest among readers. However, the
developed methods in the book are not used in physics due to misconceptions
about essence of science. The paper states a brief review of the book. This paper, as well as the book, will
be useful to physicists, students, senior pupils and everyone who is interested in the scientific worldview.

Abstract:
Indeterministic
consideration of micro-world based on quantum mechanics has resulted in its
probabilistic understanding. At the same time the study of the micro-world
based on Coulomb interactions in some cases gives deterministic view of it.
However, at this way it is necessary to solve complex problems of many
particles interaction. The program Galactica have to be developed for the
numerical solution with high accuracy gravitational problems of many-bodies.
The paper considers a modification of the program algorithm for solution of
Coulomb interaction. For integrating differential equations of motion, the
initial conditions have to be given, which are deter- mined by the geometry of
the interacting particles. Since in contemporary physics the atoms geo- metry
is not specified, as an example, their axisymmetric models are studied. They
consist of positively charged nucleus and are symmetrically arranged on the
plane of the electrons. The neces- sary tasks were solved to determine
positions and velocities of particles at the initial time. Based on their
results, the program in environment MathCad for creation of a file of inital
conditions is developed. Using the modified program Galactica, the motion of
particles in an axisymmetric structure with eight peripheral electrons is
researched. It has appeared that they are unstable. For comparison, a similar
problem was studied with the gravitational interaction. It also proved to be
unstable. So more detailed studies of the problem of stability of axisymmetric
structures were made. They showed that the stability of the structure increases
with the decrease of the interac- tion parameters. Such stable structure with
eight peripheral bodies is considered for gravitational interaction. The paper
also considers an example of a helium atom at axisymmetric interaction with two
peripheral electrons. This structure is also unstable. At the same time
two-particle inte- raction on the example of the hydrogen atom, considered
using the Galactica, is stable and the re- sults of numerical solutions
coincide with the exact analytical solution. The studies showed that the
program Galactica can be used to research the Coulomb interactions. The paper
shows that axially symmetric structure of the atom can be used to create his
other geometries. The developed methods and programs may be used in these
studies. In the future, they will increase the degree of determinateness of
micro-world. This
paper, as well as the book, will be useful to physicists, students, senior pupils
and everything who are interested in the scientific worldview. The programs are the free access (http://www.ikz.ru/~smulski/GalactcW/) and can be used for student projects.

Abstract:
The problem of a rotating planar multilayer structure with Coulomb
interaction is formulated in the paper. The absence of solutions of the problem
is proven. Based on this problem the method of constructing planar structures
with differential rotation of the layers is developed. A number of structures
are received and their dynamics and stability are studied by numerical methods
with assistance of the system Galactica. The planar structures are unstable. Identified
ways are found to improve the stability of multilayer structures and construct
such structures, which could be models of atoms. The paper is of interest for
specialists in the field of mechanics of microcosm and can be used by students
when doing term papers and dissertations. The different mathematical methods
are developed to solve problems in the mechanics of the microworld. They are in
free access: http://www.ikz.ru/~smulski//Data/ClmRnStr/. In essence, the
paper offers a new physics without theory of relativity and quantum mechanics.
It aims for receiving a real knowledge of the microcosm. The paper is written
in Russian. It is recommended to translate it into English, Chinese, Hindi,
Persian and other national languages. This will allow the younger generation using
the paper to cognize the real macrocosm.

The paper considers the theory of the phenomena associated with the Sun’s passage in the sky when the parameters of the orbital and rotational motion of the Earth are changing. The author found that the obliquity changes from 14.8° to 32.1°. These results explain the variations of paleoclimate and are consistent with several testimonies of paleoastronomy. The program SunPhenomn.mcd developed in MathCad to calculate the duration of solar day, equation of time, daylight, azimuths of the daily movement of the Sun, sunrises and sunsets, the length and azimuth of the gnomon shadow, duration of the polar days and nights, of seasons and other phenomena. The phenomena of the Sun in the contemporary epoch and in 4 extreme epochs in the interval of 50 thousand years ago are calculated. The example of the funnel on Yamal shows the application of the program SunPhenomn.mcd in aerospace studies of the relief. The work is of interest to a wide range of experts in the field of Earth Sciences and can be used by students and post-graduate students to carry out theses and dissertations.

Abstract:
The velocity of perihelion rotation of Mercury's orbit relatively motionless space is computed. It is prove that it coincides with that calculated by the Newtonian interaction of the planets and of the compound model of the Sun’s rotation.