Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Konstantin V. Kholshevnikov"'
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 54:289-299
The comparative effect of two factors on the translatory motion of the centers of mass of the Pluto–Charon system is investigated. The first important factor is the non-sphericity of the shape and gravitational field of the bodies in the system. Th
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 8:359-369
The distance functions on the set of Keplerian orbits play an important role in solving the problems of searching for the parent bodies of meteoroid streams. A special kind of function is the distances in the quotient spaces of orbits. Three metrics
Autor:
Konstantin V. Kholshevnikov
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 8:179-184
C. Jacobi found that in the general N-body problem (including N = 3), the negativity of the total energy of the system was necessary for the Lagrangian stability of any solution. For the restricted three-body problem, this statement is trivial, since
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 8:533-546
The comparative effect of two factors on the translatory motion of the centres of mass of the Pluto-Charon system is investigated. The first important factor is the non-sphericity of the shape and gravitational field of the bodies in the system. The
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 8:138-149
The development of scientific areas of mechanics as a result of the research of the Honorary Professor of St.Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, Doctor of Physics and Mathematics Viktor Ser
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 53:473-479
In a restricted circular three-body problem, the concept of the minimum velocity surface $$\mathscr{S}$$ is introduced, which is a modification of the zero-velocity surface (Hill surface). The existence of the Hill surface requires the occurrence of
Publikováno v:
Astronomy Reports. 64:778-784
The motion of a point with zero mass under the action of attraction to the central body $$\mathcal{S}$$ and perturbing acceleration $${\mathbf{P}}{\kern 1pt} ' = {\mathbf{P}}{\text{/}}{{r}^{2}}$$ , inversely proportional to the square of the distance
Publikováno v:
Astronomy Reports. 64:458-465
The results of the search for Apollo, Amor, and Aten asteroids with the orbits close to those of meteoroids of the δ-Cancrids meteor complex (code DCA), which consists of the northern (code NCC) and southern (code SCC) branches, are presented. The s
Publikováno v:
Astronomy Reports. 64:369-373
The averaging method is widely used in celestial mechanics, in which a mean orbit is introduced and slightly deviates from an osculating one, as long as disturbing forces are small. The difference $$\delta {\mathbf{r}}$$ in the celestial body positio
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 65:734-742
In the framework of the restricted circular Three-Body-Problem, the concept of the minimum velocity surface S is introduced, which is a modification of the zero-velocity surface (Hill surface). The existence of Hill surface requires occurrence of the