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On the Temperatures of Aerodynamic Heating of Spherical Microparticles Modeling Microbiological Objects Entering the Earth’s Atmosphere at Cosmic Velocities
AbstractA mathematical model has been developed describing the motion in near–Earth space (NES) and aerodynamic heating upon entry into the...
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Circulating, eccentric periodic orbits at the Moon
Loosely captured orbits with circulating and pulsating eccentricity vectors have a variety of attractive mission design properties, including low...
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Multilayer Spherical Stellar Clusters with Uniform Density
Various solutions of the kinetic equation for the equilibrium of a gravitating sphere of uniform density with a quadratic gravitational potential and...
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Synthetic Diagnostic of Spectra of Charge-Exchange Atoms for Analysis of Influence of the MHD Instability on Fast-Particle Confinement in Spherical Tokamaks Globus-M/M2
AbstractAbsorbed power of the neutral-injection beam in spherical tokamaks Globus-M/M2 is estimated numerically. Deceleration of fast particles is...
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Orbits and Individual Masses of Some Visual Binaries
The orbits of visual binary systems still attract the interest of many working groups in astronomy. These orbits are the most important and reliable...
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Red and blue shift in spherical and axisymmetric spacetimes and astrophysical constraints
We compute the red and blue shifts for astrophysical and cosmological sources. In particular, we consider low, intermediate and high gravitational...
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Existence and Stability of Kayaking Orbits for Nematic Liquid Crystals in Simple Shear Flow
We use geometric methods of equivariant dynamical systems to address a long-standing open problem in the theory of nematic liquid crystals, namely a...
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The evolutions of the innermost stable circular orbits in dynamical spacetimes
In this paper, we studied the evolutions of the innermost stable circular orbits (ISCOs) in dynamical spacetimes. At first, we reviewed the method to...
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Single-averaged model for analysis of frozen orbits around planets and moons
Let us consider the restricted three-body problem. Analysis of the orbital motion of a spacecraft around planets or moons is presented taking into...
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A Numerical Study of Laser Ranging Efficiency of Artificial Earth Satellites in Elliptical Orbits
AbstractA mathematical model of laser ranging of artificial Earth satellites (AES) in elliptical orbits has been developed. The numerical analysis of...
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Spherical Artin groups in 2D quantum Hall system framework: a duality-based approach to description particle statistics in a sphere geometry
We analyze the braid trajectories existing on the surface of a sphere as compact locally 2D manifold. A radial magnetic field imposes restriction on...
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General relativistic effects acting on the orbits of Galileo satellites
The first pair of satellites belonging to the European Global Navigation Satellite System (GNSS)—Galileo—has been accidentally launched into highly...
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Qualifying ringdown and shadow of black holes under general parametrized metrics with photon orbits
The motion of photons around black holes determines the shape of shadow and match the ringdown properties of a perturbed black hole. Observations of...
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Quasi-local studies of the particle surfaces and their stability in general spacetimes
In this paper, enlightened by the definition of the photon surface given by Claudel, Virbhadra and Ellis, we give a quasi-local definition of the...
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Exact solution of spherical mean-field plus multi-pair interaction model with two non-degenerate j-orbits
The exact solution of spherical mean-field plus multi-pair interaction model with two non-degenerate j -orbits, which is an extension of the widely...
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Exact solution of the Einstein field equations for a spherical shell of fluid matter
We determine the exact solution of the Einstein field equations for the case of a spherically symmetric shell of liquid matter, characterized by an...
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Epicyclic orbits in the field of Einstein–Dirac–Maxwell traversable wormholes applied to the quasiperiodic oscillations observed in microquasars and active galactic nuclei
We study the epicyclic oscillatory motion around circular orbits of the traversable asymptotically flat and reflection-symmetric wormholes obtained...
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The particle surface of spinning test particles
In this work, inspired by the definition of the photon surface given by Claudel, Virbhadra, and Ellis, we give an alternative quasi-local definition...
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Resonant Orbits in the Problem of Expanding the Reachable Landing Areas on the Surface of Venus
AbstractWe consider the concept of applying gravity assist maneuvers near Venus using resonant orbits with a period equal to the Venusian one. We...
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Effects of Viscosity and Oblateness on the Perturbed Robe’s Problem with Non-Spherical Primaries
AbstractWe here analyzed the effects of viscosity, oblateness of the primary m 1 , length parameter l , and perturbations in the Coriolis and...
