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Dynamics of a triple asteroid and a massive point, subjected mutual attraction
P. 1–4.
Burov A. A., Nikonov V.
Dynamics of a triple asteroid and a massive point under the action of Newtonian attraction is considered. Existence and stability of steady motions are studied within an assumption on approximation of asteroid's equation by triangular bodies, in particular, with complexified masses and point distribution.
Sidorenkov N. S., Sidorenkov P. N., L. V. Zotov, Moscow University Physics Bulletin 2025 Vol. 80 P. S50–S52
It is shown that the 580-year eclipse cycle occurs due to the modulation of the cycle of Saros (18.03) with a cycle of precession of the plane of the lunar orbit (18.61). The addition of these two cycles gives rise to 580 cycles of eclipses of the moon and sun. A mathematical model of this ...
Added: February 2, 2026
Садовничий В. А., Панасюк М. И., Липунов В. М. et al., Вестник Самарского университета. Аэрокосмическая техника, технологии и машиностроение 2019 Т. 18 № 1 С. 94–108
he natural and “man-made” space environment generates serious risks for the implementation of space missions, both automatic and human. The main natural and technogenic risk factors that limit or pose a threat to the implementation of space-based automatic and manned space missions in the near-Earth space are cosmic radiation and space debris. In the upper ...
Added: October 15, 2021
Nim E., Шаги/Steps 2021 Т. 7 № 4 С. 221–237
The article is devoted to the study of media images of small celestial bodies – comets, asteroids and meteorites. Special attention is paid to the "impact" representation of these space objects, which reflects their probable or occurred collision with the Earth. The article answers a number of questions: since when, in what contexts and images ...
Added: June 22, 2021
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
Burov A. A., Kosenko I., Shalimova E. S., Doklady Physics 2017 Vol. 62 No. 7 P. 359–362
The motion of a massive point (a bead) over the surface of a uniformly rotating asteroid is considered. It is assumed that the force of dry friction acts between the point and the asteroid surface. The sets of nonisolated positions of relative equilibrium of the bead on the asteroid are described, and their dependence on ...
Added: September 1, 2017
Borisov A., Mamaev I., Bizyaev I. A., Regular and Chaotic Dynamics 2016 Vol. 21 No. 5 P. 556–580
In this paper, we consider in detail the 2-body problem in spaces of constant positive curvature. We perform a reduction (analogous to that in rigid body dynamics) after which the problem reduces to analysis of a two-degree-of-freedom system. In the general case, in canonical variables the Hamiltonian does not correspond to any natural mechanical system. ...
Added: April 5, 2017
Burov Alexander A., Guerman A., Kosenko I. et al., , in: 66th International Astronautical Congress 2015 (IAC 2015): Space - The Gateway for Mankind's Future. Proceedings of a meeting held 12-16 October 2015, Jerusalem, Israel.: International Astronautical Federation, 2016.
We consider dynamics of a space elevator on an asteroid, i. e., spacecraft attached to a rotating celestial body with a light inextensible tether. We study the domains attainable for the spacecraft depending on such problem parameters as the angular velocity of the asteroid, the tether length, the position of the anchor at the surface, ...
Added: December 20, 2016
Ledkov A., Eismont N. A., Nazirov R. et al., Письма в Астрономический журнал 2015 Т. 41 № 8 С. 482–489
At present, the capture of a suitable asteroid into an Earth satellite orbit is proposed as one
of the methods for investigating asteroids within the framework of manned missions. Once the asteroid
has been transferred to such an orbit, an expedition with the participation of astronauts is planned to the
asteroid surface, where research is carried out and ...
Added: December 7, 2015
Ledkov A., Eismont N. A., Boyarsky M. et al., Письма в Астрономический журнал 2015 Т. 41 № 1-2 С. 72–89
Amethod for preventing the collisions of hazardous celestial objects with the Earth by diverting
them from the trajectory of their encounter with the Earth is investigated. For this purpose, we propose to
use small near-Earth asteroids that are transferred to the trajectories of a gravity-assist maneuver near
the Earth by imparting a comparatively small velocity impulse to them. ...
Added: December 7, 2015
Ledkov A., Eismont N. A., Boyarsky M. et al., Астрономический вестник 2013 Т. 47 № 4 С. 352–360
In this paper, the method of changing the trajectories of hazardous asteroids with orbits known for
some years to be on a possible collision course with the Earth is considered. The method relies on the use of
small asteroids (asteroidprojectiles) directed at hazardous celestial bodies by giving the projectile a suffi
ciently small velocity impulse ensuring the Earth ...
Added: December 7, 2015
Kuznetsov Y. M., Kulagin V., В кн.: Проблемы автоматизации и управления в технических системахТ. 1.: Пенза: Издательство Пензенского государственного университета, 2015. С. 61–64.
Focuses on methods and practical tools for creating information-analytical system for monitoring hazardous celestial bodies and planning to counter the NEO hazard. The structure of the system and a description of its functional components that allow automated mode to provide a rapid assessment of potential threats and forecast the consequences of a collision dangerous space ...
Added: October 23, 2015
Springer, 2009.
Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics, and ...
Added: February 20, 2013
Dunham D. W., Chumachenko E., Nazirov R. et al., Вестник РАЕН 2012 Т. 14 № 4 С. 87–97
В работе обсуждаются методы планетарной защиты от космических угроз со стороны астероидов и комет, пролетающих в окрестностях Земли. Рассматриваются способы обнаружения таких небесных тел с помощью приборов, располагаемых на борту космических аппаратов, а также математический аппарат для наиболее точного прогноза движения этих тел. Обсуждаются технологии предотвращения их возможного столкновения с Землёй, включая миссии к астероидам ...
Added: January 18, 2013