TY  - JOUR
A1  - Schmidt, Jürgen
A1  - Salo, H.
A1  - Spahn, Frank
T1  - Viscous overstability in Saturn's B ring : II. Hydrodynamic theory and comparison to simulations
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Salo, H.
A1  - Schmidt, Jürgen
A1  - Spahn, Frank
T1  - Viscous overstability in Saturn's B ring : I. Direct simulations and measurements of transport coefficients
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Hoffmann, Holger
A1  - Seiss, Martin
A1  - Salo, Heikki
A1  - Spahn, Frank
T1  - Vertical structures induced by embedded moonlets in Saturn's rings
JF  - Icarus : international journal of solar system studies
N2  - We study the vertical extent of propeller structures in Saturn's rings (i) by extending the model of Spahn and Sremcevic (Spahn, F., Sremcevic, M. [2000]. Astron. Astrophys., 358, 368-372) to include the vertical direction and (ii) by performing N-body box simulations of a perturbing moonlet embedded into the rings. We find that the gravitational interaction of ring particles with a non-inclined moonlet does not induce considerable vertical excursions of ring particles, but causes a considerable thermal motion in the ring plane. We expect ring particle collisions to partly convert the lateral induced thermal motion into vertical excursions of ring particles in the course of a quasi-thermalization. The N-body box simulations lead to maximal propeller heights of about 0.6-0.8 Hill radii of the embedded perturbing moonlet. Moonlet sizes estimated by this relation are in good agreement with size estimates from radial propeller scalings for the propellers Bleriot and Earhart. For large propellers, the extended hydrodynamical propeller model predicts an exponential propeller height relaxation, confirmed by N-body box simulations of non-self gravitating ring particles. Exponential cooling constants, calculated from the hydrodynamical propeller model agree fairly well with values from fits to the tail of the azimuthal height decay of the N-body box simulations. From exponential cooling constants, determined from shadows cast by the propeller Earhart and imaged by the Cassini spacecraft, we estimate collision frequencies of about 6 collisions per particle per orbit in the propeller gap region and about 11 collisions per particle per orbit in the propeller wake region. (C) 2015 Elsevier Inc. All rights reserved.
KW  - Planetary rings
KW  - Saturn, rings
KW  - Saturn, satellites
KW  - Disks
Y1  - 2015
U6  - https://doi.org/10.1016/j.icarus.2015.02.003
SN  - 0019-1035
SN  - 1090-2643
VL  - 252
SP  - 400
EP  - 414
PB  - Elsevier
CY  - San Diego
ER  - 
TY  - JOUR
A1  - Hoffmann, H.
A1  - Seiß, Martin
A1  - Spahn, Frank
T1  - Vertical relaxation of a moonlet propeller in Saturn's a ring
JF  - The astrophysical journal : an international review of spectroscopy and astronomical physics ; Part 2, Letters
N2  - Two images, taken by the Cassini spacecraft near Saturn's equinox in 2009 August, show the Earhart propeller casting a 350 km long shadow, offering the opportunity to watch how the ring height, excited by the propeller moonlet, relaxes to an equilibrium state. From the shape of the shadow cast and a model of the azimuthal propeller height relaxation, we determine the exponential cooling constant of this process to be lambda = 0.07 +/- 0.02 km(-1), and thereby determine the collision frequency of the ring particles in the vertically excited region of the propeller to be omega(c)/Omega = 0.9 +/- 0.2.
KW  - planets and satellites: individual (Saturn)
KW  - planets and satellites: rings
Y1  - 2013
U6  - https://doi.org/10.1088/2041-8205/765/1/L4
SN  - 2041-8205
VL  - 765
IS  - 1
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Salo, H.
A1  - Petzschmann, Olaf
A1  - Spahn, Frank
A1  - Schmidt, Jürgen
T1  - Vertical distribution of temperature and density in a planetary ring
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Arridge, Christopher S.
A1  - Achilleos, N.
A1  - Agarwal, Jessica
A1  - Agnor, C. B.
A1  - Ambrosi, R.
A1  - Andre, N.
A1  - Badman, S. V.
A1  - Baines, K.
A1  - Banfield, D.
A1  - Barthelemy, M.
A1  - Bisi, M. M.
A1  - Blum, J.
A1  - Bocanegra-Bahamon, T.
A1  - Bonfond, B.
A1  - Bracken, C.
A1  - Brandt, P.
A1  - Briand, C.
A1  - Briois, C.
A1  - Brooks, S.
A1  - Castillo-Rogez, J.
A1  - Cavalie, T.
A1  - Christophe, B.
A1  - Coates, Andrew J.
A1  - Collinson, G.
A1  - Cooper, J. F.
A1  - Costa-Sitja, M.
A1  - Courtin, R.
A1  - Daglis, I. A.
A1  - De Pater, Imke
A1  - Desai, M.
A1  - Dirkx, D.
A1  - Dougherty, M. K.
A1  - Ebert, R. W.
A1  - Filacchione, Gianrico
A1  - Fletcher, Leigh N.
A1  - Fortney, J.
A1  - Gerth, I.
A1  - Grassi, D.
A1  - Grodent, D.
A1  - Grün, Eberhard
A1  - Gustin, J.
A1  - Hedman, M.
A1  - Helled, R.
A1  - Henri, P.
A1  - Hess, Sebastien
A1  - Hillier, J. K.
A1  - Hofstadter, M. H.
A1  - Holme, R.
A1  - Horanyi, M.
A1  - Hospodarsky, George B.
A1  - Hsu, S.
A1  - Irwin, P.
A1  - Jackman, C. M.
A1  - Karatekin, O.
A1  - Kempf, Sascha
A1  - Khalisi, E.
A1  - Konstantinidis, K.
A1  - Kruger, H.
A1  - Kurth, William S.
A1  - Labrianidis, C.
A1  - Lainey, V.
A1  - Lamy, L. L.
A1  - Laneuville, Matthieu
A1  - Lucchesi, D.
A1  - Luntzer, A.
A1  - MacArthur, J.
A1  - Maier, A.
A1  - Masters, A.
A1  - McKenna-Lawlor, S.
A1  - Melin, H.
A1  - Milillo, A.
A1  - Moragas-Klostermeyer, Georg
A1  - Morschhauser, Achim
A1  - Moses, J. I.
A1  - Mousis, O.
A1  - Nettelmann, N.
A1  - Neubauer, F. M.
A1  - Nordheim, T.
A1  - Noyelles, B.
A1  - Orton, G. S.
A1  - Owens, Mathew
A1  - Peron, R.
A1  - Plainaki, C.
A1  - Postberg, F.
A1  - Rambaux, N.
A1  - Retherford, K.
A1  - Reynaud, Serge
A1  - Roussos, E.
A1  - Russell, C. T.
A1  - Rymer, Am.
A1  - Sallantin, R.
A1  - Sanchez-Lavega, A.
A1  - Santolik, O.
A1  - Saur, J.
A1  - Sayanagi, Km.
A1  - Schenk, P.
A1  - Schubert, J.
A1  - Sergis, N.
A1  - Sittler, E. C.
A1  - Smith, A.
A1  - Spahn, Frank
A1  - Srama, Ralf
A1  - Stallard, T.
A1  - Sterken, V.
A1  - Sternovsky, Zoltan
A1  - Tiscareno, M.
A1  - Tobie, G.
A1  - Tosi, F.
A1  - Trieloff, M.
A1  - Turrini, D.
A1  - Turtle, E. P.
A1  - Vinatier, S.
A1  - Wilson, R.
A1  - Zarkat, P.
T1  - The science case for an orbital mission to Uranus: Exploring the origins and evolution of ice giant planets
JF  - Planetary and space science
N2  - Giant planets helped to shape the conditions we see in the Solar System today and they account for more than 99% of the mass of the Sun's planetary system. They can be subdivided into the Ice Giants (Uranus and Neptune) and the Gas Giants (Jupiter and Saturn), which differ from each other in a number of fundamental ways. Uranus, in particular is the most challenging to our understanding of planetary formation and evolution, with its large obliquity, low self-luminosity, highly asymmetrical internal field, and puzzling internal structure. Uranus also has a rich planetary system consisting of a system of inner natural satellites and complex ring system, five major natural icy satellites, a system of irregular moons with varied dynamical histories, and a highly asymmetrical magnetosphere. Voyager 2 is the only spacecraft to have explored Uranus, with a flyby in 1986, and no mission is currently planned to this enigmatic system. However, a mission to the uranian system would open a new window on the origin and evolution of the Solar System and would provide crucial information on a wide variety of physicochemical processes in our Solar System. These have clear implications for understanding exoplanetary systems. In this paper we describe the science case for an orbital mission to Uranus with an atmospheric entry probe to sample the composition and atmospheric physics in Uranus' atmosphere. The characteristics of such an orbiter and a strawman scientific payload are described and we discuss the technical challenges for such a mission. This paper is based on a white paper submitted to the European Space Agency's call for science themes for its large-class mission programme in 2013.
KW  - Uranus
KW  - Magnetosphere
KW  - Atmosphere
KW  - Natural satellites
KW  - Rings
KW  - Planetary interior
Y1  - 2014
U6  - https://doi.org/10.1016/j.pss.2014.08.009
SN  - 0032-0633
VL  - 104
SP  - 122
EP  - 140
PB  - Elsevier
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Baibolatov, Yernur
A1  - Spahn, Frank
T1  - The role of adhesion for ensembles of mesoscopic particles
JF  - Granular matter
N2  - We present a toy-model for an ensemble of adhering mesoscopic constituents in order to estimate the effect of the granular temperature on the sizes of embedded aggregates. The major goal is to illustrate the relation between the mean aggregate size and the granular temperature in dense planetary rings. For sake of simplicity we describe the collective behavior of the ensemble by means of equilibrium statistical mechanics, motivated by the stationary temperature established by the balance between a Kepler-shear driven viscous heating and inelastic cooling in these cosmic granular disks. The ensemble consists of N' equal constituents which can form cluster(s) or move like a gas-or both phases may coexist-depending on the (granular) temperature of the system. We assume the binding energy levels of a cluster E-c = -N-c gamma a to be determined by a certain contact number N-c, given by the configuration of N constituents of the aggregate (energy per contact: -gamma a). By applying canonical and grand-canonical ensembles, we show that the granular temperature T of a gas of constituents (their mean kinetic energy) controls the size distribution of the aggregates. They are the smaller the higher the granular temperature T is. A mere gas of single constituents is sustained for T >> gamma a. In the case of large clusters (low temperatures T << gamma a) the size distribution becomes a Poissonian.
KW  - Adhesion
KW  - Statistical mechanics
KW  - Planetary rings
Y1  - 2012
U6  - https://doi.org/10.1007/s10035-012-0325-4
SN  - 1434-5021
VL  - 14
IS  - 2
SP  - 197
EP  - 202
PB  - Springer
CY  - New York
ER  - 
TY  - JOUR
A1  - Albers, Nicole
A1  - Spahn, Frank
T1  - The influence of particle adhesion on the stability of agglomerates in Saturn's rings
N2  - In planetary rings, binary collisions and mutual gravity are the predominant particle interactions. Based on a viscoelastic contact model we implement the concept of static adhesion. We discuss the collision dynamics and obtain a threshold velocity for restitution or agglomeration to occur. The latter takes place within a range of a few cm s(-1) for icy grains at low temperatures. The stability of such two-body agglomerates bound by adhesion and gravity in a tidal environment is discussed and applied to the saturnian system. A maximal agglomerate size for a given orbit location is obtained. In this way we are able to resolve the borderline of the zone where agglomerates can exist as a function of the agglomerate size and thus gain an alternative to the classical Roche limit. An increasing ring grain size with distance to Saturn as observed by the VIMS-experiment on board the Cassini spacecraft can be found by our estimates and implications for the saturnian system will be addressed.
Y1  - 2006
UR  - http://www.sciencedirect.com/science/journal/00191035
U6  - https://doi.org/10.1016/j.icarus.2005.10.011
SN  - 0019-1035
ER  - 
TY  - JOUR
A1  - Otto, Katharina Alexandra
A1  - Jaumann, R.
A1  - Krohn, K.
A1  - Spahn, Frank
A1  - Raymond, C. A.
A1  - Russell, C. T.
T1  - The Coriolis effect on mass wasting during the Rheasilvia impact on asteroid Vesta
JF  - Geophysical research letters
N2  - We investigate the influence of the Coriolis force on mass motion related to the Rheasilvia impact on asteroid Vesta. Observations by the NASA Dawn mission revealed a pattern of curved radial ridges, which are related to Coriolis-deflected mass-wasting during the initial modification stage of the crater. Utilizing the projected curvature of the mass-wasting trajectories, we developed a method that enabled investigation of the initial mass wasting of the Rheasilvia impact by observational means. We demonstrate that the Coriolis force can strongly affect the crater formation processes on rapidly rotating objects, and we derive the material's velocities (28.9 ± 22.5 m/s), viscosities (1.5–9.0 × 106 Pa s) and coefficients of friction (0.02–0.81) during the impact modification stage. The duration of the impact modification stage could be estimated to (1.1 ± 0.5) h. By analyzing the velocity distribution with respect to the topography, we deduce that the Rheasilvia impactor hit a heterogeneous target and that the initial crater walls were significantly steeper during the modification stage.
Y1  - 2016
U6  - https://doi.org/10.1002/2016GL071539
SN  - 0094-8276
SN  - 1944-8007
VL  - 43
SP  - 12340
EP  - 12347
PB  - American Geophysical Union
CY  - Washington
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  - Shepelyansky, Dima L.
A1  - Pikovskij, Arkadij
A1  - Schmidt, Jürgen
A1  - Spahn, Frank
T1  - Synchronization mechanism of sharp edges in rings of Saturn
N2  - We propose a new mechanism which explains the existence of enormously sharp edges in the rings of Saturn. This mechanism is based on the synchronization phenomenon due to which the epicycle rotational phases of particles in the ring, under certain conditions, become synchronized with the phase of external satellite, e. g. with the phase of Mimas in the case of the outer B ring edge. This synchronization eliminates collisions between particles and suppresses the diffusion induced by collisions by orders of magnitude. The minimum of the diffusion is reached at the centre of the synchronization regime corresponding to the ratio 2:1 between the orbital frequency at the edge of B ring and the orbital frequency of Mimas. The synchronization theory gives the sharpness of the edge in a few tens of meters that is in agreement with available observations.
Y1  - 2009
UR  - http://www3.interscience.wiley.com/cgi-bin/issn?DESCRIPTOR=PRINTISSN&VALUE=0035-8711
U6  - https://doi.org/10.1111/j.1365-2966.2009.14719.x
SN  - 0035-8711
ER  - 
TY  - JOUR
A1  - Seiss, Martin
A1  - Spahn, Frank
A1  - Sremcevic, Miodrag
A1  - Salo, H.
T1  - Structures induced by small moonlets in Saturn's rings : implications for the Cassini Mission
N2  - Particle simulations are carried out to study density features caused by small moonlets embedded in a dense planetary ring. The creation of a "propeller" like structure is found together with adjacent density wakes. Both features are clear indications for the existence of moonlets in the rings. We confirmed that the propeller scales with the Hill-radius in radial direction whereas its azimuthal extent is determined by the ratio between the moonlet-mass and the ring-viscosity. Our findings bear direct implications for the analysis of the Cassini imaging (ISS) and occultation (UVIS) data: (i) for the detection of embedded larger bodies (>30 m) in Saturn's rings, and (ii) for remotely probing transport properties of the rings. The existence of a moonlet population may point to a catastrophic disruption of a parent body as a formation scenario for rings
Y1  - 2005
SN  - 0094-8276
ER  - 
TY  - JOUR
A1  - Spahn, Frank
A1  - Schmidt, Jürgen
A1  - Sremcevic, Miodrag
T1  - Structures in planetary rings : stability and gravitational scattering
Y1  - 2000
SN  - 3-540-41074-0
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  - 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  - Spahn, Frank
A1  - Schmidt, Jürgen
A1  - Petzschmann, Olaf
A1  - Salo, H.
T1  - Stability analysis of a Keplarian disk of granular grains : influence of thermal diffusion
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Brilliantov, Nikolai V.
A1  - Krapivsky, P. L.
A1  - Bodrova, Anna
A1  - Spahn, Frank
A1  - Hayakawa, Hisao
A1  - Stadnichuk, Vladimir
A1  - Schmidt, Jurgen
T1  - Size distribution of particles in Saturn's rings from aggregation and fragmentation
JF  - Proceedings of the National Academy of Sciences of the United States of America
N2  - Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum conservation and the steady loss of energy in dissipative interparticle collisions. For particles in the size range from a few centimeters to a few meters, a power-law distribution of radii, similar to r(-q) with q approximate to 3, has been inferred; for larger sizes, the distribution has a steep cutoff. It has been suggested that this size distribution may arise from a balance between aggregation and fragmentation of ring particles, yet neither the power-law dependence nor the upper size cutoff have been established on theoretical grounds. Here we propose a model for the particle size distribution that quantitatively explains the observations. In accordance with data, our model predicts the exponent q to be constrained to the interval 2.75 <= q <= 3.5. Also an exponential cutoff for larger particle sizes establishes naturally with the cutoff radius being set by the relative frequency of aggregating and disruptive collisions. This cutoff is much smaller than the typical scale of microstructures seen in Saturn's rings.
KW  - planetary rings
KW  - kinetic theory
KW  - coagulation-fragmentation
Y1  - 2015
U6  - https://doi.org/10.1073/pnas.1503957112
SN  - 0027-8424
VL  - 112
IS  - 31
SP  - 9536
EP  - 9541
PB  - National Acad. of Sciences
CY  - Washington
ER  - 
TY  - JOUR
A1  - Scholl, H.
A1  - Spahn, Frank
A1  - Hertzsch, Jan-Martin
A1  - Katzorke, Ines
T1  - Simulation of collisions in planetary rings
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Grätz, Fabio M.
A1  - Seiß, Martin
A1  - Schmidt, Jürgen
A1  - Colwell, Joshua
A1  - Spahn, Frank
T1  - Sharp Gap Edges in Dense Planetary Rings
BT  - an Axisymmetric Diffusion Model
JF  - The astrophysical journal : an international review of spectroscopy and astronomical physics
N2  - One of the most intriguing facets of Saturn's rings are the sharp edges of gaps in the rings where the surface density abruptly drops to zero. This is despite of the fact that the range over which a moon transfers angular momentum onto the ring material is much larger. Recent UVIS-scans of the edges of the Encke and Keeler gap show that this drop occurs over a range approximately equal to the rings' thickness. Borderies et al. show that this striking feature is likely related to the local reversal of the usually outward directed viscous transport of angular momentum in strongly perturbed regions. In this article we revise the Borderies et al. model using a granular flow model to define the shear and bulk viscosities, ν and ζ, and incorporate the angular momentum flux reversal effect into the axisymmetric diffusion model we developed for gaps in dense planetary rings. Finally, we apply our model to the Encke and Keeler division in order to estimate the shear and bulk viscosities in the vicinity of both gaps
KW  - celestial mechanics
KW  - diffusion
KW  - hydrodynamics
KW  - planets and satellites: rings
KW  - scattering
Y1  - 2019
U6  - https://doi.org/10.3847/1538-4357/ab007e
SN  - 0004-637X
SN  - 1538-4357
VL  - 872
IS  - 2
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Dzhanoev, Arsen R.
A1  - Spahn, Frank
A1  - Yaroshenko, Victoriya
A1  - Lühr, Hermann
A1  - Schmidt, Jürgen
T1  - Secondary electron emission from surfaces with small structure
JF  - Physical review : B, Condensed matter and materials physics
N2  - It is found that for objects possessing small surface structures with differing radii of curvature the secondary electron emission (SEE) yield may be significantly higher than for objects with smooth surfaces of the same material. The effect is highly pronounced for surface structures of nanometer scale, often providing a more than 100% increase of the SEE yield. The results also show that the SEE yield from surfaces with structure does not show a universal dependence on the energy of the primary, incident electrons as it is found for flat surfaces in experiments. We derive conditions for the applicability of the conventional formulation of SEE using the simplifying assumption of universal dependence. Our analysis provides a basis for studying low-energy electron emission from nanometer structured surfaces under a penetrating electron beam important in many technological applications.
Y1  - 2015
U6  - https://doi.org/10.1103/PhysRevB.92.125430
SN  - 1098-0121
SN  - 1550-235X
VL  - 92
IS  - 12
PB  - American Physical Society
CY  - College Park
ER  -