TY - JOUR A1 - Makuch, Martin A1 - Brilliantov, Nikolai V. A1 - Sremcevic, Miodrag A1 - Spahn, Frank A1 - Krivov, Alexander V. T1 - Stochastic circumplanetary dynamics of rotating non-spherical dust particles JF - Planetary and space science N2 - We develop a model of stochastic radiation pressure for rotating non-spherical particles and apply the model to circumplanetary dynamics of dust grains. The stochastic properties of the radiation pressure are related to the ensemble-averaged characteristics of the rotating particles, which are given in terms of the rotational time-correlation function of a grain. We investigate the model analytically and show that an ensemble of particle trajectories demonstrates a diffusion-like behaviour. The analytical results are compared with numerical simulations, performed for the motion of the dusty ejecta from Deimos in orbit around Mars. We find that the theoretical predictions are in a good agreement with the simulation results. The agreement however deteriorates at later time, when the impact of non-linear terms, neglected in the analytic approach, becomes significant. Our results indicate that the stochastic modulation of the radiation pressure can play an important role in the circumplanetary dynamics of dust and may in case of some dusty systems noticeably alter an optical depth. (c) 2006 Elsevier Ltd. All rights reserved. KW - Mars KW - Deimos KW - ejecta KW - stochastics KW - radiation pressure Y1 - 2006 U6 - https://doi.org/10.1016/j.pss.2006.05.006 SN - 0032-0633 VL - 54 IS - 9-10 SP - 855 EP - 870 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Makuch, Martin A1 - Krivov, Alexander V. A1 - Spahn, Frank T1 - Long-term dynamical evolution of dusty ejecta from Deimos N2 - We re-assess expected properties of the presumed dust belt of Mars formed by impact ejecta from Deimos. Previous studies have shown that dynamics of Deimos particles are dominated by two perturbing forces: radiation pressure (RP) and Mars' oblateness (J2). At the same time, they have demonstrated that lifetimes of particles, especially of grains about ten of micrometers in size, may reach more than 10(4) years. On such timescales, the Poynting-Robertson drag (PR) becomes important. Here we provide a study of the dynamics under the combined action of all three perturbing forces. We show that a PR decay of the semimajor axes leads to an adiabatic decrease of amplitudes and periods of oscillations in orbital inclinations predicted in the framework of the underlying RP+J2 problem. Furthermore, we show that smallest of the long-lived Deimos grains (radius approximate to 5-10 mum) may reach a chaotic regime, resulting in unpredictable and abrupt changes of their dynamics. The particles just above that size (approximate to 10- 15 mum) should be the most abundant in the Deimos torus. Our dynamical analysis, combined with a more accurate study of the particle lifetimes, provides corrections to earlier predictions about the dimensions and geometry of the Deimos torus. In addition to a population, appreciably inclined and shifted towards the Sun, the torus should contain a more contracted, less asymmetric, and less tilted component between the orbits of Phobos and Deimos. (C) 2004 Elsevier Ltd. All rights reserved Y1 - 2005 SN - 0032-0633 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Sremcevic, Miodrag A1 - Spahn, Frank T1 - Evolution of a Keplerian disk of colliding and fragmenting particles: a kinetic model with application to the Edgeworth-Kuiper belt N2 - We present a kinetic model of a disk of solid particles, orbiting a primary and experiencing inelastic collisions. In distinction to other collisional models that use a 2D (mass-sernimajor axis) binning and perform a separate analysis of the velocity (eccentricity, inclination) evolution, we choose mass and orbital elements as independent variables of a phase space. The distribution function in this space contains full information on the combined mass, spatial, and velocity distributions of particles. A general kinetic equation for the distribution function is derived, valid for any set of orbital elements and for any collisional outcome, specified by a single kernel function. The first implementation of the model utilizes a 3D phase space (mass-semimajor axis-eccentricity) and involves averages over the inclination and all angular elements. We assume collisions to be destructive, simulate them with available material- and size-dependent scaling laws, and include collisional damping. A closed set of kinetic equations for a mass-semimajor axis-eccentricity distribution is written and transformation rules to usual mass and spatial distributions of the disk material are obtained. The kinetic "core" of our approach is generic. It is possible to add inclination as an additional phase space variable, to include cratering collisions and agglomeration, dynamical friction and viscous stirring, gravity of large perturbers, drag forces, and other effects into the model. As a specific application, we address the collisional evolution of the classical population in the Edgeworth-Kuiper belt (EKB). We run the model for different initial disk's masses and radial profiles and different impact strengths of objects. Our results for the size distribution, collisional timescales, and mass loss are in agreement with previous studies. In particular, collisional evolution is found to be most substantial in the inner part of the EKB, where the separation size between the survivors over EKB ' s age and fragments of earlier collisions lies between a few and several tens of km. The size distribution in the EKB is not a single Dohnanyi-type power law, reflecting the size dependence of the critical specific energy in both strength and gravity regimes. The net mass loss rate of an evolved disk is nearly constant and is dominated by disruption of larger objects. Finally, assuming an initially uniform distribution of orbital eccentricities, we show that an evolved disk contains more objects in orbits with intermediate eccentricities than in nearly circular or more eccentric orbits. This property holds for objects of any size and is explained in terms of collisional probabilities. The effect should modulate the eccentricity distribution shaped by dynamical mechanisms, such as resonances and truncation of perihelia by Neptune. (c) 2004 Elsevier Inc. All rights reserved Y1 - 2005 SN - 0019-1035 ER - TY - JOUR A1 - Sremcevic, Miodrag A1 - Krivov, Alexander V. A1 - Krüger, Harald A1 - Spahn, Frank T1 - Impact-generated dust clouds around planetary satellites : model versus Galileo N2 - This paper focuses on tenuous dust clouds of Jupiter's Galilean moons Europa, Ganymede and Callisto. In a companion paper (Sremcevic et al., Planet. Space Sci. 51 (2003) 455-471) an analytical model of impact-generated ejecta dust clouds surrounding planetary satellites has been developed. The main aim of the model is to predict the asymmetries in the dust clouds which may arise from the orbital motion of the parent body through a field of impactors. The Galileo dust detector data from flybys at Europa, Ganymede and Callisto are compatible with the model, assuming projectiles to be interplanetary micrometeoroids. The analysis of the data suggests that two interplanetary impactor populations are most likely the source of the measured dust clouds: impactors with isotropically distributed velocities and micrometeoroids in retrograde orbits. Other impactor populations, namely those originating in the Jovian system, or interplanetary projectiles with low orbital eccentricities and inclinations, or interstellar stream particles, can be ruled out by the statistical analysis of the data. The data analysis also suggests that the mean ejecta velocity angle to the normal at the satellite surface is around 30°, which is in agreement with laboratory studies of the hypervelocity impacts. © 2004 Elsevier Ltd. All rights reserved Y1 - 2005 SN - 0032-0633 ER - TY - JOUR A1 - Spahn, Frank A1 - Schmidt, Jürgen A1 - Albers, Nicole A1 - Hörning, Marcel A1 - Makuch, Martin A1 - Seiß, Martin A1 - Kempf, Sascha A1 - Srama, Ralf A1 - Dikarev, Valeri A1 - Helfert, Stefan A1 - Moragas-Klostermeyer, Georg A1 - Krivov, Alexander V. A1 - Sremcevic, Miodrag A1 - Tuzzolino, Anthony J. A1 - Economou, Thanasis A1 - Grün, Eberhard T1 - Cassini dust measurements at Enceladus and implications for the origin of the E ring Y1 - 2006 UR - http://www.sciencemag.org/content/311/5766/1416.full U6 - https://doi.org/10.1126/science.1121375 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Krivova, Natalia A. A1 - Solanki, S. K. A1 - Titov, V. B. T1 - Towards understanding the beta Pictoris dust stream N2 - The recent radar detection by Baggaley (2000) of a collimated stream of interstellar meteoroids postulated to be sourced at beta Pictoris, a nearby star with a prominent dust disk. presents a challenge to theoreticians. Two mechanisms of possible dust ejection from beta Pic have been proposed: ejection of dust by radiation pressure from comets in eccentric orbits and by gravity of a hypothetical planet in the disk. Here we re-examine observational data and reconsider theoretical scenarios, substantiating them with detailed modeling to test whether they can explain quantitatively and simultaneously the masses, speeds, and fluxes. Our analysis of the stream geometry and kinematics confirms that beta Pic is the most likely source of the stream and suggests that an intensive dust ejection phase took place similar to0.7 Myr ago. Our dynamical simulations show that high ejection speeds retrieved from the observations can be explained by both planetary ejection and radiation pressure mechanisms, providing, however, several important constraints. In the planetary ejection scenario, only a "hot Jupiter"-type planet with a semimajor axis of less than 1 AU can be responsible for the stream, and only if the disk was dynamically "heated" by a more distant massive planet. The radiation pressure scenario also requires the presence of a relatively massive planet at several AU or more, that had heated the cometesimal disk before the ejection occurred. Finally, the dust flux measured at Earth can be brought into reasonable agreement with both scenarios, provided that beta Pic's protoplanetary disk recently passed through an intensive short-lasting (similar to0.1 Myr) clearance stage by nascent giant planets, similar to what took place in the early solar system Y1 - 2004 SN - 0004-6361 ER - TY - JOUR A1 - Srama, Ralf A1 - Ahrens, Thomas J. A1 - Altobelli, Nicolas A1 - Auer, S. A1 - Bradley, J. G. A1 - Burton, M. A1 - Dikarev, V. V. A1 - Economou, T. A1 - Fechtig, Hugo A1 - Görlich, M. A1 - Grande, M. A1 - Graps, Amara A1 - Grün, Eberhard A1 - Havnes, Ove A1 - Helfert, Stefan A1 - Horanyi, Mihaly A1 - Igenbergs, E. A1 - Jessberger, Elmar K. A1 - Johnson, T. V. A1 - Kempf, Sascha A1 - Krivov, Alexander v. A1 - Krüger, Harald A1 - Mocker-Ahlreep, Anna A1 - Moragas-Klostermeyer, Georg A1 - Lamy, Philippe A1 - Landgraf, Markus A1 - Linkert, Dietmar A1 - Linkert, G. A1 - Lura, F. A1 - McDonnell, J. A. M. A1 - Moehlmann, Dirk A1 - Morfill, Gregory E. A1 - Muller, M. A1 - Roy, M. A1 - Schafer, G. A1 - Schlotzhauer, G. A1 - Schwehm, Gerhard H. A1 - Spahn, Frank A1 - Stübig, M. A1 - Svestka, Jiri A1 - Tschernjawski, V T1 - The Cassini Cosmic Dust Analyzer N2 - The Cassini-Huygens Cosmic Dust Analyzer (CDA) is intended to provide direct observations of dust grains with masses between 10(-19) and 10(-9) kg in interplanetary space and in the jovian and saturnian systems, to investigate their physical, chemical and dynamical properties as functions of the distances to the Sun, to Jupiter and to Saturn and its satellites and rings, to study their interaction with the saturnian rings, satellites and magnetosphere. Chemical composition of interplanetary meteoroids will be compared with asteroidal and cometary dust, as well as with Saturn dust, ejecta from rings and satellites. Ring and satellites phenomena which might be effects of meteoroid impacts will be compared with the interplanetary dust environment. Electrical charges of particulate matter in the magnetosphere and its consequences will be studied, e.g. the effects of the ambient plasma and the magnetic held on the trajectories of dust particles as well as fragmentation of particles due to electrostatic disruption. The investigation will be performed with an instrument that measures the mass, composition, electric charge, speed, and flight direction of individual dust particles. It is a highly reliable and versatile instrument with a mass sensitivity 106 times higher than that of the Pioneer 10 and I I dust detectors which measured dust in the saturnian system. The Cosmic Dust Analyzer has significant inheritance from former space instrumentation developed for the VEGA, Giotto, Galileo, and Ulysses missions. It will reliably measure impacts from as low as I impact per month up to 104 impacts per second. The instrument weighs 17 kg and consumes 12 W, the integrated time-of-flight mass spectrometer has a mass resolution of up to 50. The nominal data transmission rate is 524 bits/s and varies between 50 and 4192 bps Y1 - 2004 SN - 0038-6308 ER - TY - JOUR A1 - Spahn, Frank A1 - Krivov, Alexander V. A1 - Sremcevic, Miodrag A1 - Schwarz, U. A1 - Kurths, Jürgen T1 - Stochastic forces in circumplanetary dust dynamics N2 - Charged dust grains in circumplanetary environments experience, beyond various deterministic forces, also stochastic perturbations caused, by fluctuations of the magnetic field, the charge of the grains, by chaotic rotation of aspherical grains, etc. Here we investigate the dynamics of a dust population in a circular orbit around a planet which is perturbed by a stochastic planetary magnetic field B', modeled by an isotropically Gaussian white noise. The resulting perturbation equations give rise to a modified diffusion of the inclinations i and eccentricities e. The diffusion coefficient is found to be D proportional to w^2 O /n^2 , where the gyrofrequency, the Kepler frequency, and the synodic frequency are denoted by w , O, and n, respectively. This behavior has been checked against numerical simulations. We have chosen dust grains (1 m in radius) ejected from Jupiter's satellite Europa in circular equatorial orbits around Jupiter and integrated numerically their trajectories over their typical lifetimes (100 years). The particles were exposed to a Gaussian fluctuating magnetic field B' with the same statistical properties as in the analytical treatment. These simulations have confirmed the analytical results. The theoretical studies showed the statistical properties of B' to be of decisive importance. To estimate them, we analyzed the magnetic field data obtained by the Galileo spacecraft magnetometer at Jupiter and found almost Gaussian fluctuations of about 5% of the mean field and exponentially decaying correlations. This results in a diffusion of orbital inclinations and eccentricities of the dust grains of about ten percent over the lifetime of the particles. For smaller dusty motes or for close-in particles (e.g., in Jovian gossamer rings) stochastics might well dominate the dynamics. Y1 - 2003 UR - http://www.agu.org/pubs/current/je/ ER - TY - JOUR A1 - Gordon, M. K. A1 - Krivov, Alexander V. A1 - Schmidt, Jürgen A1 - Spahn, Frank T1 - Planetary rings Y1 - 2002 ER - TY - JOUR A1 - Thiessenhusen, Kai-Uwe A1 - Krivov, Alexander V. A1 - Krüger, Harald A1 - Grün, Eberhard T1 - A dust cloud around Pluto and Charon Y1 - 2002 SN - 0032-0633 ER - TY - JOUR A1 - Grün, Eberhard A1 - Krivov, Alexander V. T1 - Dust astronomy : new venues in interplanetary and interstellar dust research Y1 - 2002 SN - 1-58381-113-3 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Krüger, Harald A1 - Grün, Eberhard A1 - Thiessenhusen, Kai-Uwe A1 - Hamilton, Douglas P. T1 - A tenuous dust ring of Jupiter formed by escaping ejecta from the Galilean satellites Y1 - 2002 SN - 0148-0227 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Banaszkiewicz, Marek T1 - Unusual origin, evolution and fate of icy ejecta from Hyperion Y1 - 2001 SN - 0032-0633 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Banaszkiewicz, Marek T1 - Dust Influx to Titan from Hyperion Y1 - 2001 SN - 0-7923-6946-7 ER - TY - JOUR A1 - Krivov, Alexander V. A1 - Mann, Ingrid A1 - Krivova, Natalia A. T1 - Size distributions of dust in circumstellar debris discs Y1 - 2000 SN - 0935-4956 ER - TY - JOUR A1 - Krivova, Natalia A. A1 - Krivov, Alexander V. A1 - Mann, Ingrid T1 - The disk of beta pictoris in the light of polarimetric data Y1 - 2000 SN - 0004-637x ER - TY - JOUR A1 - Krivova, Natalia A. A1 - Krivov, Alexander V. A1 - Mann, Ingrid T1 - Size distribution of dust in the disk of Beta Pictoris Y1 - 2000 SN - 1-58381-051-X ER - TY - JOUR A1 - Mann, Ingrid A1 - Krivov, Alexander V. A1 - Kimura, Hiroshi T1 - Dust cloud near the sun Y1 - 2000 ER - TY - JOUR A1 - Krüger, Harald A1 - Krivov, Alexander V. A1 - Grün, Eberhard T1 - A dust cloud around Ganymede Maintained by hypervelocity impacts of interplanetary micrometeoroids Y1 - 2000 SN - 0032-0633 ER -