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134 result(s) for "Scheeres, Daniel J."
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The dynamics about asteroid (162173) Ryugu
The dynamical environment around the asteroid (162173) Ryugu is analyzed in detail using a constant-density polyhedron model based on the measurements from the Hayabusa2 mission. Six exterior equilibrium points (EPs) are identified along the ridge line of Ryugu, and their topological classifications fall into two distinctive categories. The initial periodic orbit (PO) families are computed and analyzed, including distant retrograde/prograde orbit (DRO/DPO) families and fifteen PO families emanating from the exterior EPs. The fifteen PO families are further divided into three categories: seven converge to an EP, seven reach Ryugu’s surface, and one exhibits cyclic behavior during its progression. The existence of initial PO families converging to an EP is analyzed using the bifurcation of a degenerate EP. Connection between these families and similar ones in the circular restricted three-body problem (CRTBP) is also examined. Bifurcated PO families are identified and computed from the initial PO families, including ten families from the DROs, fifteen from the DPOs, and twenty-five associated with the EPs. The bifurcated families are separately analyzed and categorized in terms of their corresponding initial families. Connections established by the same bifurcation points between different bifurcated families are identified. A comparison is made for the dynamical environments of Ryugu and Bennu to evaluate the similarities and differences in the evolution of EPs and the progression of PO families in top-shaped asteroids.
Fission and reconfiguration of bilobate comets as revealed by 67P/Churyumov–Gerasimenko
A modelling study of the bilobate nucleus of comet 67P/Churyumov–Gerasimenko reveals that it has spun much faster in the past, but that its chaotically changing spin rate has so far prevented it from splitting; eventually the two lobes will separate, but they will be unable to escape each other and will ultimately merge again—a situation that seems to be common among cometary nuclei. Comet 67P nucleus keeps it together Rosetta spacecraft observations of comet 67P/Churyumov–Gerasimenko (67P) revealed a bilobate nucleus, with a structure that suggests that the two components were brought together at low speed after their separate formation. Here Daniel Scheeres and colleagues present a modelling study of the structure and dynamics of 67P's nucleus. They show that sublimation torques may have caused the nucleus of 67P to spin up and form the large cracks observed on its neck. These cracks are likely to propagate, eventually splitting the nucleus in two, but the separated lobes will be unable to escape each other and will ultimately merge again. The solid, central part of a comet—its nucleus—is subject to destructive processes 1 , 2 , which cause nuclei to split at a rate of about 0.01 per year per comet 3 . These destructive events are due to a range of possible thermophysical effects 4 ; however, the geophysical expressions of these effects are unknown. Separately, over two-thirds of comet nuclei that have been imaged at high resolution show bilobate shapes 5 , including the nucleus of comet 67P/Churyumov–Gerasimenko (67P), visited by the Rosetta spacecraft. Analysis of the Rosetta observations suggests that 67P’s components were brought together at low speed after their separate formation 6 . Here, we study the structure and dynamics of 67P’s nucleus. We find that sublimation torques have caused the nucleus to spin up in the past to form the large cracks observed on its neck. However, the chaotic evolution of its spin state has so far forestalled its splitting, although it should eventually reach a rapid enough spin rate to do so. Once this occurs, the separated components will be unable to escape each other; they will orbit each other for a time, ultimately undergoing a low-speed merger that will result in a new bilobate configuration. The components of four other imaged bilobate nuclei have volume ratios that are consistent with a similar reconfiguration cycle, pointing to such cycles as a fundamental process in the evolution of short-period comet nuclei. It has been shown 7 , 8 that comets were not strong contributors to the so-called late heavy bombardment about 4 billion years ago. The reconfiguration process suggested here would preferentially decimate comet nuclei during migration to the inner solar system, perhaps explaining this lack of a substantial cometary flux.
Morphology of ejecta features from the impact on asteroid Dimorphos
Hypervelocity impacts play a significant role in the evolution of asteroids, causing material to be ejected and partially reaccreted. However, the dynamics and evolution of ejected material in a binary asteroid system have never been observed directly. Observations of Double Asteroid Redirection Test (DART) impact on asteroid Dimorphos have revealed features on a scale of thousands of kilometers, including curved ejecta streams and a tail bifurcation originating from the Didymos system. Here we show that these features result naturally from the dynamical interaction of the ejecta with the binary system and solar radiation pressure. These mechanisms may be used to constrain the orbit of a secondary body, or to investigate the binary nature of an asteroid. Also, they may reveal breakup or fission events in active asteroids, and help determine the asteroid’s properties following an impact event. In the case of DART, our findings suggest that Dimorphos is a very weak, rubble-pile asteroid, with an ejecta mass estimated to be in the range of (1.1-5.5)×10 7  kg. Double Asteroid Redirection Test (DART) mission’s impact on asteroid Dimorphos has led to various impact related features. Here, the authors show that those features result naturally from the dynamical interaction of the ejecta with the binary system and solar radiation pressure.
Forced periodic motions by solar radiation pressure around uniformly rotating asteroids
Since asteroids generally have relatively weak gravity fields, solar radiation pressure (SRP) is a major perturbation for orbits in their vicinity, which under certain circumstances can be even larger than the third-body gravitational perturbations. In this work, by adopting a triaxial ellipsoid model for the asteroid and taking into account of SRP, the forced periodic motions caused by SRP around equilibrium points are studied in the body-fixed frame of the asteroid. For forced periodic motions around saddle equilibrium points, we find that the SRP does not alter their stability yet does change the morphology of the associated invariant manifolds. For forced periodic motions around center equilibrium points, different types of orbits are identified. Their stability changes with different parameters, i.e., the asteroid’s shape and spin period, the latitude of the Sun, and the magnitude of SRP. Evolution of these forced periodic motions is described in detail and some interesting phenomena are found. Stability results found for our ideal model with the Sun at a fixed distance and latitude are shown to predict stability regions in a realistic model with the Sun on inclined and elliptic orbits. Though our work is based on the simplified triaxial ellipsoid model, similar computation method and conclusions should also be applicable to real asteroids.
Implications of cohesive strength in asteroid interiors and surfaces and its measurement
Recent observations and theory have indicated that rubble pile asteroids may have a small, but finite, level of tensile strength, allowing them to spin above their spin deformation limit as defined in Holsapple (Icarus 205:430–442, 2010). In Sánchez and Scheeres (Meteorit Planet Sci 49:788–811, 2014), a theory for how such strength could be present in rubble pile asteroids was presented, relying on weak van der Waals forces between fine particulate material in asteroid regolith and in their interiors. The implications of this theory are evaluated and related to the surface strength of regolith and global strength of a rubble pile body. Proposed techniques to measure the strength of regolith using cratering theory are reviewed, as are constraints placed on the global strength of rubble pile asteroids from astronomical observations. Specific examples applied to the Hayabusa2 cratering experiment at its target asteroid are given.
Seismic waves in the asteroid environment
Through numerical simulations, we investigate impact generated seismic wave transmission in granular media under extremely low pressure. This mimics the conditions in the interior of asteroids and other small planetary bodies. We find a dependency not only on the overburden pressure on the medium, but also on the velocity of the impact that generates the wave. This is, at extremely low values of overburden pressure, the wave speed depends no only on the imposed pressure, but also on the increment in pressure created by the passing of the wave. We study crystalline and random packings and find very similar behaviour though with different wave speeds as expected. We then relate our results to different mission-related events on asteroids.
Radar Imaging of Binary Near-Earth Asteroid (66391) 1999 KW4
High-resolution radar images reveal near-Earth asteroid (66391) 1999 KW4 to be a binary system. The ~1.5-kilometer-diameter primary (Alpha) is an unconsolidated gravitational aggregate with a spin period ~2.8 hours, bulk density ~2 grams per cubic centimeter, porosity ~50%, and an oblate shape dominated by an equatorial ridge at the object's potential-energy minimum. The ~0.5-kilometer secondary (Beta) is elongated and probably is denser than Alpha. Its average orbit about Alpha is circular with a radius ~2.5 kilometers and period ~17.4 hours, and its average rotation is synchronous with the long axis pointed toward Alpha, but librational departures from that orientation are evident. Exotic physical and dynamical properties may be common among near-Earth binaries.
Regolith Migration and Sorting on Asteroid Itokawa
High-resolution images of the surface of asteroid Itokawa from the Hayabusa mission reveal it to be covered with unconsolidated millimeter-sized and larger gravels. Locations and morphologic characteristics of this gravel indicate that Itokawa has experienced considerable vibrations, which have triggered global-scale granular processes in its dry, vacuum, microgravity environment. These processes likely include granular convection, landslide-like granular migrations, and particle sorting, resulting in the segregation of the fine gravels into areas of potential lows. Granular processes become major resurfacing processes because of Itokawa's small size, implying that they can occur on other small asteroids should those have regolith.
Mutual potential between two rigid bodies with arbitrary shapes and mass distributions
Formulae to compute the mutual potential, force, and torque between two rigid bodies are given. These formulae are expressed in Cartesian coordinates using inertia integrals. They are valid for rigid bodies with arbitrary shapes and mass distributions. By using recursive relations, these formulae can be easily implemented on computers. Comparisons with previous studies show their superiority in computation speed. Using the algorithm as a tool, the planar problem of two ellipsoids is studied. Generally, potential truncated at the second order is good enough for a qualitative description of the mutual dynamics. However, for ellipsoids with very large non-spherical terms, higher order terms of the potential should be considered, at the cost of a higher computational cost. Explicit formulae of the potential truncated to the fourth order are given.
Spin Rate of Asteroid (54509) 2000 PH5 Increasing Due to the YORP Effect
Radar and optical observations reveal that the continuous increase in the spin rate of near-Earth asteroid (54509) 2000 PH5 can be attributed to the Yarkovsky-O'Keefe-Radzievskii-Paddack (YORP) effect, a torque due to sunlight. The change in spin rate is in reasonable agreement with theoretical predictions for the YORP acceleration of a body with the radar-determined size, shape, and spin state of 2000 PH5. The detection of asteroid spin-up supports the YORP effect as an explanation for the anomalous distribution of spin rates for asteroids under 10 kilometers in diameter and as a binary formation mechanism.