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1

Review of the works on the orbital evolution of solar system major planets

K. V. Kholshevnikov, E. D. Kuznetsov

Journal:

Solar System Research

Year:

2007

Language:

english

File:

PDF, 341 KB

english, 2007

2

Manifolds and Metrics in the Relative Spacecraft Motion Problem

Gurfil, Pini, Kholshevnikov, Konstantin V.

Journal:

Journal of Guidance Control and Dynamics

Year:

2006

Language:

english

File:

PDF, 454 KB

english, 2006

3

The Expansion of the Hamiltonian of the Planetary Problem into the Poisson Series in All Keplerian Elements (Theory)

K. V. Kholshevnikov, A. V. Greb, E. D. Kuznetsov

Journal:

Solar System Research

Year:

2001

Language:

english

File:

PDF, 61 KB

english, 2001

4

On the exactness of estimates for irregularly structured bodies of the general term of Laplace series

Kholshevnikov, Konstantin V., Shaidulin, Vakhit Sh.

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2017

Language:

english

File:

PDF, 796 KB

english, 2017

5

Norm of the Position Shift of a Celestial Body in a Dynamical Astronomy Problem

Kholshevnikov, K. V., Batmunkh, N., Oskina, K. I., Titov, V. B.

Journal:

Astronomy Reports

Year:

2020

File:

PDF, 382 KB

2020

6

The orbital dust torus as an enveloping surface of a family of trajectories of isotropically ejected particles

S. A. Orlov, K. V. Kholshevnikov

Journal:

Solar System Research

Year:

2008

Language:

english

File:

PDF, 624 KB

english, 2008

7

Solution of Kepler’s equation for rectilinear motion

V. A. Antonov, L. N. Sudov, K. V. Kholshevnikov

Journal:

Astronomy Reports

Year:

2011

Language:

english

File:

PDF, 475 KB

english, 2011

8

Laplace series for the level ellipsoid of revolution

Kholshevnikov, K. V., Milanov, D. V., Shaidulin, V. Sh.

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2018

Language:

english

File:

PDF, 468 KB

english, 2018

9

Existence of a class of irregular bodies with a higher convergence rate of Laplace series for the gravitational potential

Kholshevnikov, Konstantin V., Shaidulin, Vakhit Sh.

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2015

Language:

english

File:

PDF, 503 KB

english, 2015

10

Behaviour of a two-planetary system on a cosmogonic time-scale

Kholshevnikov, Konstantin V., Kuznetsov, Eduard D.

Journal:

Proceedings of the International Astronomical Union

Year:

2004

Language:

english

File:

PDF, 123 KB

english, 2004

11

Motion in a Central Field in the Presence of a Constant Perturbing Acceleration in a Coordinate System Comoving with the Velocity Vector

Batmunkh, N., Sannikova, T. N., Kholshevnikov, K. V.

Journal:

Astronomy Reports

Year:

2018

Language:

english

File:

PDF, 553 KB

english, 2018

12

On Distances between Orbits of Planets and Asteroids

Kholshevnikov, K. V., Shchepalova, A. S.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2018

Language:

english

File:

PDF, 554 KB

english, 2018

13

Recent developments in pedestrian flow theory and research in Russia

V.V. Kholshevnikov, T.J. Shields, K.E. Boyce, D.A. Samoshin

Journal:

Fire Safety Journal

Year:

2008

Language:

english

File:

PDF, 379 KB

english, 2008

14

The Hamiltonian in the planetary or satellite problem as a d’Alembertian function

K. V. Kholshevnikov

Journal:

Astronomy Reports

Year:

2001

Language:

english

File:

PDF, 51 KB

english, 2001

15

Metrics on the Relative Spacecraft Motion Invariant Manifold

P GURFIL, KONSTANTIN V. KHOLSHEVNIKOV

Journal:

Annals of the New York Academy of Sciences

Year:

2005

Language:

english

File:

PDF, 435 KB

english, 2005

16

Relaxed triangle inequality for the orbital similarity criterion by Southworth and Hawkins and its variants

Milanov, D. V., Milanova, Yu. V., Kholshevnikov, K. V.

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2019

File:

PDF, 669 KB

2019

17

On the Distance Function Between Two Keplerian Elliptic Orbits

Konstantin V. Kholshevnikov, Nikolay N. Vassiliev

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1999

Language:

english

File:

PDF, 59 KB

english, 1999

18

Stability of planetary systems with respect to masses

Konstantin V. Kholshevnikov, Eduard D. Kuznetsov

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2011

Language:

english

File:

PDF, 215 KB

english, 2011

19

Estimating the derivative of the Legendre polynomial

V. A. Antonov, K. V. Kholshevnikov, V. Sh. Shaidulin

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2010

Language:

english

File:

PDF, 199 KB

english, 2010

20

Expansion of the Hamiltonian of the Two-Planetary Problem into the Poisson Series in All Elements: Application of the Poisson Series Processor

E. D. Kuznetsov, K. V. Kholshevnikov

Journal:

Solar System Research

Year:

2004

Language:

english

File:

PDF, 80 KB

english, 2004

21

Dust torus produced by particles ejected in the apsidal points

S. A. Orlov, K. V. Kholshevnikov

Journal:

Solar System Research

Year:

2012

Language:

english

File:

PDF, 891 KB

english, 2012

22

Metrics in the space of orbits and their application to searching for celestial objects of common origin

Kholshevnikov, K. V., Kokhirova, G. I., Babadzhanov, P. B., Khamroev, U. H.

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

2016

Language:

english

File:

PDF, 470 KB

english, 2016

23

On the representation of the gravitational potential of several model bodies

Kuznetsov, E. D., Kholshevnikov, K. V., Shaidulin, V. Sh.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2016

Language:

english

File:

PDF, 281 KB

english, 2016

24

Distance Between Two Arbitrary Unperturbed Orbits

Roman V. Baluyev, Konstantin V. Kholshevnikov

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2005

Language:

english

File:

PDF, 275 KB

english, 2005

25

Asymptotics of the uniform norm of associated Legendre functionsPnk, whenk≪n

K. V. Kholshevnikov, V. Sh. Shaidulin

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2009

Language:

english

File:

PDF, 255 KB

english, 2009

26

Averaged equations of motion for a perturbing acceleration which is constant in various reference frames

Sannikova, T. N., Kholshevnikov, K. V.

Journal:

Astronomy Reports

Year:

2014

Language:

english

File:

PDF, 530 KB

english, 2014

27

Asymptotics behavior of integrals of the legendre polynomials and their sums

Kholshevnikov, K. V., Shaidulin, V. Sh.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2015

Language:

english

File:

PDF, 250 KB

english, 2015

28

On the Lyapunov theory of equilibrium figures of celestial bodies

K. V. Kholshevnikov

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2007

Language:

english

File:

PDF, 156 KB

english, 2007

29

Solution of the kinematic equation for near-parabolic keplerian motion: Convergence of the series

T. N. Sannikova, L. N. Sudov, K. V. Kholshevnikov

Journal:

Astronomy Reports

Year:

2012

Language:

english

File:

PDF, 725 KB

english, 2012

30

Geometry of the Huygens—Roche Figure

Kholshevnikov, K. V.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2019

Language:

english

File:

PDF, 178 KB

english, 2019

31

Multifactorial Method of Search for Small Bodies in Close Orbits

Sergienko, M. V., Sokolova, M. G., Kholshevnikov, K. V.

Journal:

Astronomy Reports

Year:

2020

File:

PDF, 460 KB

2020

32

On the gravitational potential of a spherical segment

Kholshevnikov, K. V., Shaidulin, V. Sh.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2015

Language:

english

File:

PDF, 271 KB

english, 2015

33

Velocity distribution of meteoroids in the vicinity of planets and satellites

K. V. Kholshevnikov, V. A. Shor

Journal:

Earth, Moon, and Planets

Year:

1996

Language:

english

File:

PDF, 286 KB

english, 1996

34

Relations between the norms of a function and its gradient in classes of surface and solid spherical harmonics on a finite-dimensional space

K. V. Kholshevnikov, V. Sh. Shaidulin

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2008

Language:

english

File:

PDF, 121 KB

english, 2008

35

The Possibility of Harmless Destruction of an Asteroid Threatening the Earth

Aleksandrova, A. G., Galushina, T. Yu., Prishchepenko, A. B., Kholshevnikov, K. V., Chechetkin, V. M.

Journal:

Astronomy Reports

Year:

2019

Language:

english

File:

PDF, 610 KB

english, 2019

36

On properties of integrals of the Legendre polynomial

Kholshevnikov, K. V., Shaidulin, V. Sh.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2014

Language:

english

File:

PDF, 231 KB

english, 2014

37

Estimates of sums of integrals of the Legendre Polynomial

Kholshevnikov, K. V., Shaidulin, V. Sh.

Journal:

Vestnik St. Petersburg University: Mathematics

Year:

2016

Language:

english

File:

PDF, 276 KB

english, 2016

38

Impact-generated dust clouds around planetary satellites: spherically symmetric case

Alexander V. Krivov, Miodrag Sremčević, Frank Spahn, Valeri V Dikarev, Konstantin V Kholshevnikov

Journal:

Planetary and Space Science

Year:

2003

Language:

english

File:

PDF, 619 KB

english, 2003

39

The Three-body Problem from Pythagoras to Hawking || Classical Problems

Valtonen, Mauri, Anosova, Joanna, Kholshevnikov, Konstantin, Mylläri, Aleksandr, Orlov, Victor, Tanikawa, Kiyotaka

Year:

2016

Language:

english

File:

PDF, 957 KB

english, 2016

40

Motion in a central field in the presence of a constant perturbing acceleration in a co-moving coordinate system

T. N. Sannikova,K. V. Kholshevnikov

Journal:

Astronomy Reports

Year:

2015

Language:

english

File:

PDF, 700 KB

english, 2015

41

Dust torus formed by particles ejected from a celestial body at an arbitrary point of its elliptic orbit

Orlov, Sergei A., Kholshevnikov, Konstantin V.

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2013

Language:

english

File:

PDF, 641 KB

english, 2013

42

Expansion of the principal functions of Keplerian motion using complex variables

Mikryukov, D. V., Kholshevnikov, K. V.

Journal:

Astronomy Letters

Year:

2016

Language:

english

File:

PDF, 697 KB

english, 2016

43

Dynamical evolution of weakly disturbed two-planetary system on cosmogonic time scales: The Sun-Jupiter-Saturn system

E. D. Kuznetsov, K. V. Kholshevnikov

Journal:

Solar System Research

Year:

2006

Language:

english

File:

PDF, 358 KB

english, 2006

44

On linking coefficient of two Keplerian orbits

Konstantin V. Kholshevnikov, Nikolay N. Vassiliev

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1999

Language:

english

File:

PDF, 63 KB

english, 1999

45

Selection Effect in Semimajor Axes of Orbits of Extrasolar Planets

K. V. Kholshevnikov, E. D. Kuznetsov

Journal:

Solar System Research

Year:

2002

Language:

english

File:

PDF, 133 KB

english, 2002

46

Central Field Motion with Perturbing Acceleration Varying According to the Inverse Square Law in the Reference Frame Associated with the Radius Vector

Sannikova, T. N., Kholshevnikov, K. V.

Journal:

Astronomy Reports

Year:

2020

File:

PDF, 449 KB

2020

47

Convergence of Liapunov Series for Maclaurin Ellipsoids

Konstantin V. Kholshevnikov, Andrei V. Elkin

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2002

Language:

english

File:

PDF, 97 KB

english, 2002

48

[American Institute of Aeronautics and Astronautics AIAA Guidance, Navigation, and Control Conference and Exhibit - San Francisco, California ()] AIAA Guidance, Navigation, and Control Conference and Exhibit - Distances on the Relative Spacecraft Motion Manifold

Gurfil, Pini, Kholshevnikov, Konstantin

Year:

2005

Language:

english

File:

PDF, 716 KB

english, 2005

49

Velocity distribution of meteoroids colliding with planets and satellites. II. Numerical results

Kholshevnikov, K. V., Shor, V. A.

Journal:

Astronomical & Astrophysical Transactions

Year:

1995

Language:

english

File:

PDF, 416 KB

english, 1995

50

The Dust Torus around Phobos Orbit

K.V. Kholshevnikov, A.V. Krivov, L.L. Sokolov, V.B. Titov

Journal:

Year:

1993

File:

PDF, 587 KB

1993

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