884 research outputs found
Statistical Study of the Early Solar System's Instability with 4, 5 and 6 Giant Planets
Several properties of the Solar System, including the wide radial spacing and
orbital eccentricities of giant planets, can be explained if the early Solar
System evolved through a dynamical instability followed by migration of planets
in the planetesimal disk. Here we report the results of a statistical study, in
which we performed nearly 10^4 numerical simulations of planetary instability
starting from hundreds of different initial conditions. We found that the
dynamical evolution is typically too violent, if Jupiter and Saturn start in
the 3:2 resonance, leading to ejection of at least one ice giant from the Solar
System. Planet ejection can be avoided if the mass of the transplanetary disk
of planetesimals was large (M_disk>50 M_Earth), but we found that a massive
disk would lead to excessive dynamical damping (e.g., final e_55 < 0.01
compared to present e_55=0.044, where e_55 is the amplitude of the fifth
eccentric mode in the Jupiter's orbit), and to smooth migration that violates
constraints from the survival of the terrestrial planets. Better results were
obtained when the Solar System was assumed to have five giant planets initially
and one ice giant, with the mass comparable to that of Uranus and Neptune, was
ejected into interstellar space by Jupiter. The best results were obtained when
the ejected planet was placed into the external 3:2 or 4:3 resonance with
Saturn and M_disk ~ 20 M_Earth. The range of possible outcomes is rather broad
in this case, indicating that the present Solar System is neither a typical nor
expected result for a given initial state, and occurs, in best cases, with only
a ~5% probability (as defined by the success criteria described in the main
text). The case with six giant planets shows interesting dynamics but does
offer significant advantages relative to the five planet case.Comment: To appear in The Astronomical Journa
Fast Inversion Method for Determination of Planetary Parameters from Transit Timing Variations
The Transit Timing Variation (TTV) method relies on monitoring changes in
timing of transits of known exoplanets. Non-transiting planets in the system
can be inferred from TTVs by their gravitational interaction with the
transiting planet. The TTV method is sensitive to low-mass planets that cannot
be detected by other means. Here we describe a fast algorithm that can be used
to determine the mass and orbit of the non-transiting planets from the TTV
data. We apply our code, ttvim.f, to a wide variety of planetary systems to
test the uniqueness of the TTV inversion problem and its dependence on the
precision of TTV observations. We find that planetary parameters, including the
mass and mutual orbital inclination of planets, can be determined from the TTV
datasets that should become available in near future. Unlike the radial
velocity technique, the TTV method can therefore be used to characterize the
inclination distribution of multi-planet systems
Dynamics, Origin, and Activation of Main Belt Comets
The discovery of Main Belt Comets (MBCs) has raised many questions regarding
the origin and activation mechanism of these objects. Results of a study of the
dynamics of these bodies suggest that MBCs were formed in-situ as the remnants
of the break-up of large icy asteroids. Simulations show that similar to the
asteroids in the main belt, MBCs with orbital eccentricities smaller than 0.2
and inclinations lower than 25 degrees have stable orbits implying that many
MBCs with initially larger eccentricities and inclinations might have been
scattered to other regions of the asteroid belt. Among scattered MBCs,
approximately 20 percent reach the region of terrestrial planets where they
might have contributed to the accumulation of water on Earth. Simulations also
show that collisions among MBCs and small objects could have played an
important role in triggering the cometary activity of these bodies. Such
collisions might have exposed sub-surface water ice which sublimated and
created thin atmospheres and tails around MBCs. This paper discusses the
results of numerical studies of the dynamics of MBCs and their implications for
the origin of these objects. The results of a large numerical modeling of the
collisions of m-sized bodies with km-sized asteroids in the outer part of the
asteroid belt are also presented and the viability of the collision-triggering
activation scenario is discussed.Comment: 9 pages, 4 figures, to appear in the proceedings of IAU Symposium
263: Icy Bodies of the Solar System (Eds. D. Lazzaro, D. Prialnik, o. Schulz
and J.A. Fernandez), Cambridge Univ. Pres
A Region Void of Irregular Satellites Around Jupiter
An interesting feature of the giant planets of our solar system is the
existence of regions around these objects where no irregular satellites are
observed. Surveys have shown that, around Jupiter, such a region extends from
the outermost regular satellite Callisto, to the vicinity of Themisto, the
innermost irregular satellite. To understand the reason for the existence of
such a satellite-void region, we have studied the dynamical evolution of Jovian
irregulars by numerically integrating the orbits of several hundred test
particles, distributed in a region between 30 and 80 Jupiter-radii, for
different values of their semimajor axes, orbital eccentricities, and
inclinations. As expected, our simulations indicate that objects in or close to
the influence zones of the Galilean satellites become unstable because of
interactions with Ganymede and Callisto. However, these perturbations cannot
account for the lack of irregular satellites in the entire region between
Callisto and Themisto. It is suggested that at distances between 60 and 80
Jupiter-radii, Ganymede and Callisto may have long-term perturbative effects,
which may require the integrations to be extended to times much longer than 10
Myr. The interactions of irregular satellites with protosatellites of Jupiter
at the time of the formation of Jovian regulars may also be a destabilizing
mechanism in this region. We present the results of our numerical simulations
and discuss their applicability to similar satellite void-regions around other
giant planets.Comment: 21 pages, 9 figures, 2 tables, accepted for publication in the
Astronomical Journa
Characterizing the original ejection velocity field of the Koronis family
An asteroid family forms as a result of a collision between an impactor and a
parent body. The fragments with ejection speeds higher than the escape velocity
from the parent body can escape its gravitational pull. The cloud of escaping
debris can be identified by the proximity of orbits in proper element, or
frequency, domains. Obtaining estimates of the original ejection speed can
provide valuable constraints on the physical processes occurring during
collision, and used to calibrate impact simulations. Unfortunately, proper
elements of asteroids families are modified by gravitational and
non-gravitational effects, such as resonant dynamics, encounters with massive
bodies, and the Yarkovsky effect, such that information on the original
ejection speeds is often lost, especially for older, more evolved families.
It has been recently suggested that the distribution in proper inclination of
the Koronis family may have not been significantly perturbed by local dynamics,
and that information on the component of the ejection velocity that is
perpendicular to the orbital plane (), may still be available, at least in
part. In this work we estimate the magnitude of the original ejection velocity
speeds of Koronis members using the observed distribution in proper
eccentricity and inclination, and accounting for the spread caused by dynamical
effects. Our results show that i) the spread in the original ejection speeds
is, to within a 15% error, inversely proportional to the fragment size, and ii)
the minimum ejection velocity is of the order of 50 m/s, with larger values
possible depending on the orbital configuration at the break-up.Comment: 18 pages, 10 figures, 4 tables. Accepted for publication in Icaru
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