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Вращение равногранного тетраэдра в центральном ньютоновском поле сил: конус Штауде
Вестник Московского университета. Серия 1: Математика. Механика. 2021. № 5. С. 40-46.
Burov A. A., Nikonova E.
The Staude cone is considered in the problem of motion of a homogeneous equilateral tetrahedron in a central force field. The character of the degeneracy of the Staude cone is studied in the case when an equilateral tetrahedron is close to a regular one. It is shown how the equation of the Staude cone can be obtained in the framework of Routh theory.
Language:
Russian
Burov A. A., Nikonova E., Известия РАН. Механика твердого тела 2021 № 5 С. 152-164
The existence and stability of equilibria in the problem of motion around a fixed point of a rigid body in the form of an isosceles tetrahedron in the central Newtonian field of forces are studied. The connection of these equilibria with the previously studied equilibria of a regular tetrahedron, which are a special case of ...
Added: October 23, 2021
Menshikov I., Orlov K., Berestov V. et al., Proceedings of the IEEE 2023 Article 42
in print ...
Added: April 26, 2023
Зайцев В. И., Щавелин В. М., М. : ВИНИТИ РАН, 1985
Added: November 30, 2020
Burov A. A., Герман А. Д., Косенко И. И. et al., Нелинейная динамика 2017 Т. 2013 № 2 С. 243-256
The problem of the motion of a particle in the gravity field of a homogeneous dumbbell-like
body composed of a pair of intersecting balls, whose radii are, in general, different, is studied.
Approximation for the Newtonian potential of attraction is obtained. Relative equilibria and
their properties are studied under the assumption of uniform rotation of the dumbbells. ...
Added: October 3, 2018
A. A. Burov, Guerman A. D., V. I. Nikonov, Acta Astronautica 2023 Vol. 203 P. 291-295
We study here the local minima, maxima, and saddle points of the augmented potential on the surface of a small celestial body with application to comet (67P) Churyumov-Gerasimenko. The isolines of the augmented potential on this surface are determined, in particular, those corresponding to the saddle points. The results are applied to reveal the correlation ...
Added: November 30, 2022
Burov A. A., Герман А. Д., Распопова Е. А. et al., Нелинейная динамика 2018 Т. 14 № 1 С. 45-52
It is well known that several small celestial objects are of irregular shape. In particular, there exist asteroids of the so-called “dog-bone” shape. It turns out that approximation of these bodies by dumb-bells, as proposed by V.V. Beletsky, provides an effective tool for analytical investigation of dynamics in vicinities of such bodies. There remains the ...
Added: September 10, 2018
Буров А.А., Герман А. Д., Косенко И. И., Космические исследования 2014 Т. 52 № 4 С. 307-312
The problem of planar oscillations of a pendulum with variable length suspended on the Moon’s surface is considered. It is assumed that the Earth and Moon (or, in the general case, a planet and its satellite, or an asteroid and a spacecraft) revolve around the common center of mass in unperturbed elliptical Keplerian orbits. We ...
Added: November 8, 2014
М. : МИЭМ НИУ ВШЭ, 2013
The materials of The Second International Scientific – Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 4 parts. It is interesting for a wide range of researchers, teachers, graduate ...
Added: April 18, 2013
Burov A.A., Guerman A. D., Kosenko I. I., Celestial Mechanics and Dynamical Astronomy 2014 Vol. 120 No. 3 P. 337-347
This study focuses on spatial motion of the lunar elevator which is studied in the framework of elliptical restricted three-body problem. Analysis of dynamics of a spacecraft anchored to the Moon by a tether is done assuming that the tether’s length can be changed according to a prescribed law. The goal is to find the ...
Added: November 8, 2014
Burov A.A., German A. D., Kosenko I. I., Cosmic Research (USA) 2014 Vol. 52 No. 4 P. 289-294
The problem of planar oscillations of a pendulum with variable length suspended on the Moon’s surface is considered. It is assumed that the Earth and Moon (or, in the general case, a planet and its satellite, or an asteroid and a spacecraft) revolve around the common center of mass in unperturbed elliptical Keplerian orbits. We ...
Added: November 21, 2014
Каз. : СМУиС, 2013
Вторая Всероссийская молодежная научная Интернет-конференция «Грани науки» проводится Казанским (Приволжским) федеральным университетом, Советом молодых ученых и специалистов города Казани (http://kznscience.ru) и Комитетом по делам детей и молодежи Исполкома Казани. ...
Added: July 7, 2016
A.A. Burov, Kosenko I. I., Journal of Applied Mathematics and Mechanics 2014 Vol. 78 No. 6 P. 587-598
The Lagrange equations are considered in the case when the Lagrangen function is independent of some of the velocities, and the properties of the differential-algebraic equations arising are studied. It is proved that, when non-degeneracy conditions are satisfied, the equations arising reduce to differential Lagrange equations of lower dimension. The problem of the planar oscillations ...
Added: September 11, 2015
Издательство Казанского (Приволжского) федерального университета, 2016
Полные тексты докладов XI Всероссийского съезда по фундаментальным проблемам теоретической и прикладной механики опубликованы в электронном виде на диске и сайте съезда. ...
Added: December 11, 2016
Воронеж : ООО Фирма "Элист", 2015
В трудах нашли отражение вопросы технологической механики и механики деформируемого твердого тела, аэродинамики, тепломассообмена, математического моделирования, управления полетом летательных аппаратов, автоматизированного проэктирования и управления процессами разработки и производства летательных аппаратов и двигательных установок авиационной и космической техники.Опубликованные материалы соответствуют перечню Критических технологий Российской Федерации, утвержденному президентом РФ (технологии создания и управления новыми видами транспортных систем; ...
Added: October 20, 2015
Aksenov S. A., Bober S. A., Guskova M., Advances in Space Research 2021 Vol. 68 No. 6 P. 2501-2514
In the framework of circular restricted three-body problem the libration point orbits form the families of periodic and quasi-periodic solutions. In the paper, the mapping of initial conditions is utilized to describe and study the structure and properties of these families. A new numerical method for orbit generation, which is applicable both for the periodic ...
Added: January 10, 2020
Пенза : ПГУ, 2015
В сборник трудов включены доклады юбилейного ХХ-го Международного симпозиума «Надежность и качество», проходившего с 25 по 31 мая 2015 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и ...
Added: May 31, 2015
Пенза : ПГУ, 2016
В сборник трудов включены доклады ХХI-го Международного симпозиума «Надежность и качество», проходившего с 23 по 29 мая 2016 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и средств ...
Added: May 27, 2016
Зайцев В. И., Щавелин В. М., / Московский инженерно-физический институт. Серия 001-86 "Препринт МИФИ". 1986. № 001-86.
Added: November 30, 2020
M. : Association of graduates and employees of AFEA named after prof. Zhukovsky, 2018
The materials of The International Scientific – Practical Conference is presented below.
The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
It is interesting for a wide range of researchers, teachers, graduate students and professionals in the field of innovation and information technologies. ...
Added: May 24, 2018
Burov A. A., Kosenko I. I., Mechanics of Solids 2014 Vol. 49 No. 5 P. 506-517
In the usual everyday life, it is well known that the inverted pendulum is unstable and is ready to fall to “all four sides,” to the left and to the right, forward and backward. The theoretical studies and the lunar experience of moon robots and astronauts also confirms this property. The question arises: Is this ...
Added: November 27, 2014
М. : Энциклопедия, Инфра-М, 2018
The New Russian Encyclopedia is a fundamental reference publication in 18 volumes that characterizes nature, population, economy, history, science, art, technology and other important aspects. Contains about 60,000 articles, about 30,000 biographies, about 15,000 color illustrations, maps, charts, diagrams, tables. Leaves since 2003. ...
Added: October 28, 2018
Воронеж : Элит, 2012
В трудах XIII Всероссийской научно-технической конференции и школы молодых ученых, аспирантов и студентов отражены вопросы управления космическими аппаратами, технологической механики и механики деформируемого твердого тела, тепломассообмена, математического моделирования, автоматизированного проектирования и управления процессами разработки и производства летательных аппаратов и двигательных установок авиационной и космической техники. Опубликованные материалы соответствуют научному направлению "Наукоемкие технологии в машиностроении, авиастроении, ...
Added: February 9, 2013
Burov A. A., Yakushev I. A., Journal of Applied Mathematics and Mechanics 2014 Vol. 78 No. 5 P. 460-467
The sliding of a heavy bead, threaded on a thin circular hoop, rotating with a constant angular velocity around a vertical axis, situated in its plane and, in the general case, not passing through its vertical diameter, is considered. It is assumed that dry friction acts between the bead and the hoop. A set of ...
Added: October 14, 2015
Долгопрудный : МФТИ, 2021
Труды 63-й Всероссийской научной конференции МФТИ. Включены результаты оригинальных исследований студентов, аспирантов, преподавателей и научных сотрудников МФТИ и дружественных учебных и научных организаций. Статьи представляют интерес для специалистов, работающих в области радиотехники и компьютерных технологий ...
Added: October 29, 2021