Results 41 to 50 of about 3,814,279 (400)
Lie-series for orbital elements -- I. The planar case [PDF]
, 2014 Lie-integration is one of the most efficient algorithms for numerical integration of ordinary differential equations if high precision is needed for longer terms.
Pál, András
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Methods for estimating the impact probability of asteroid Apophis were implemented. The probability of a collision was assessed using two methods: the Monte Carlo method, and the second one, utilizing a ratio between the interval of values of orbital ...
Anatoliy F Zausaev, Andrey E Derevyanka
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Mean Orbital Elements for Geosynchronous Orbit - II - Orbital inclination, longitude of ascending node, mean longitude [PDF]
Journal of Astronomy and Space Sciences, 1990 The osculating orbital elements include the mean, secular, long period, and short period terms. The iterative algorithm used for conversion of osculating orbital elements to mean orbital elements is described.
Kyu-Hong Choi +3 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In this paper, we study the accuracy of solving various differential equations describing the motion of large planets, the Moon and Sun. On the time interval from 31 years BC to 3969 AD, the numerical integration of Newtonian relativistic differential ...
Anatoliy Fedorovich Zausaev +1 more
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The binary asteroid 22 Kalliope: Linus orbit determination on the basis of speckle interferometric observations [PDF]
Icarus, Vol.236, 2014, pp.157-164, 2014 In this paper we present the orbital elements of Linus satellite of 22 Kalliope asteroid. Orbital element determination is based on the speckle interferometry data obtained with the 6-meter BTA telescope operated by SAO RAS. We processed 9 accurate positions of Linus orbiting around the main component of 22 Kalliope between 10 and 16 December, 2011. In
arxiv +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 A new principle of interaction of the surrounding space with material bodies is investigated. Under the surrounding space we understand the physical vacuum, whose properties are currently still in the formative stage.
Anatoliy F Zausaev
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Design and Simulation of Stellar Occultation Infrared Band Constellation
Remote Sensing, 2022 This study provides an in-depth analysis of the characteristics of stellar occultation events. Using 10 target star sources, the influence of orbital elements on the number, duration, and distribution of stellar occultation events was simulated and ...
Qinglin Zhu +3 more
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A method for the fast MOID computation for two confocal heliocentric orbits
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The paper is on the problem of classification an asteroid as potentially hazardous (PHA), namely the estimation of the MOID parameter. Minimum Orbital Intersection Distance describes the minimal distance between two confocal heliocentric orbits ...
Andrey E Derevyanka
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Cartan Motion Group and Orbital Integrals [PDF]
arXiv, 2022 In this short note, we study the variation of orbital integrals, as traces on the group algebra $G$, under the deformation groupoid. We show that orbital integrals are continuous under the deformation. And we prove that the pairing between orbital integrals and $K$-theory element of $C^*_r(G)$ stays constant with respect to the deformation for regular ...
arxiv
Lie-series for orbital elements -- II. The spatial case [PDF]
, 2015 If one has to attain high accuracy over long timescales during the numerical computation of the N-body problem, the method called Lie-integration is one of the most effective algorithms.
Pál, András
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