297 research outputs found
Studies of oceanic tectonics based on GEOS-3 satellite altimetry
Using statistical analysis, geoidal admittance (the relationship between the ocean geoid and seafloor topography) obtained from GEOS-3 altimetry was compared to various model admittances. Analysis of several altimetry tracks in the Pacific Ocean demonstrated a low coherence between altimetry and seafloor topography except where the track crosses active or recent tectonic features. However, global statistical studies using the much larger data base of all available gravimetry showed a positive correlation of oceanic gravity with topography. The oceanic lithosphere was modeled by simultaneously inverting surface wave dispersion, topography, and gravity data. Efforts to incorporate geoid data into the inversion showed that the base of the subchannel can be better resolved with geoid rather than gravity data. Thermomechanical models of seafloor spreading taking into account differing plate velocities, heat source distributions, and rock rheologies were discussed
Report of the Terrestrial Bodies Science Working Group. Volume 3: Venus
The science objectives of Pioneer Venus and future investigations of the planet are discussed. Concepts and payloads for proposed missions and the supporting research and technology required to obtain the desired measurements from space and Earth-based observations are examined, as well as mission priorities and schedules
Degeneracy in the characterization of non-transiting planets from transit timing variations
The transit timing variation (TTV) method allows the detection of
non-transiting planets through their gravitational perturbations. Since TTVs
are strongly enhanced in systems close to mean-motion resonances (MMR), even a
low mass planet can produce an observable signal. This technique has thus been
proposed to detect terrestrial planets. In this letter, we analyse TTV signals
for systems in or close to MMR in order to illustrate the difficulties arising
in the determination of planetary parameters. TTVs are computed numerically
with an n-body integrator for a variety of systems close to MMR. The main
features of these TTVs are also derived analytically. Systems deeply inside MMR
do not produce particularly strong TTVs, while those close to MMR generate
quasiperiodic TTVs characterised by a dominant long period term and a low
amplitude remainder. If the remainder is too weak to be detected, then the
signal is strongly degenerate and this prevents the determination of the
planetary parameters. Even though an Earth mass planet can be detected by the
TTV method if it is close to a MMR, it may not be possible to assert that this
planet is actually an Earth mass planet. On the other hand, if the system is
right in the center of a MMR, the high amplitude oscillation of the TTV signal
vanishes and the detection of the perturber becomes as difficult as it is far
from MMR.Comment: 5 pages, 3 figures, submitted to MNRA
A critical approach to the concept of a polar, low-altitude LARES satellite
According to very recent developments of the LARES mission, which would be
devoted to the measurement of the general relativistic Lense--Thirring effect
in the gravitational field of the Earth with Satellite Laser Ranging, it seems
that the LARES satellite might be finally launched in a polar, low--altitude
orbit by means of a relatively low--cost rocket. The observable would be the
node only. In this letter we critically analyze this scenario.Comment: LaTex2e, 11 pages, 4 figures, 1 table. Accepted for publication in
Classical and Quantum Gravit
Tidal torques. A critical review of some techniques
We point out that the MacDonald formula for body-tide torques is valid only
in the zeroth order of e/Q, while its time-average is valid in the first order.
So the formula cannot be used for analysis in higher orders of e/Q. This
necessitates corrections in the theory of tidal despinning and libration
damping.
We prove that when the inclination is low and phase lags are linear in
frequency, the Kaula series is equivalent to a corrected version of the
MacDonald method. The correction to MacDonald's approach would be to set the
phase lag of the integral bulge proportional to the instantaneous frequency.
The equivalence of descriptions gets violated by a nonlinear
frequency-dependence of the lag.
We explain that both the MacDonald- and Darwin-torque-based derivations of
the popular formula for the tidal despinning rate are limited to low
inclinations and to the phase lags being linear in frequency. The
Darwin-torque-based derivation, though, is general enough to accommodate both a
finite inclination and the actual rheology.
Although rheologies with Q scaling as the frequency to a positive power make
the torque diverge at a zero frequency, this reveals not the impossible nature
of the rheology, but a flaw in mathematics, i.e., a common misassumption that
damping merely provides lags to the terms of the Fourier series for the tidal
potential. A hydrodynamical treatment (Darwin 1879) had demonstrated that the
magnitudes of the terms, too, get changed. Reinstating of this detail tames the
infinities and rehabilitates the "impossible" scaling law (which happens to be
the actual law the terrestrial planets obey at low frequencies).Comment: arXiv admin note: sections 4 and 9 of this paper contain substantial
text overlap with arXiv:0712.105
Tidally Heated Terrestrial Exoplanets: Viscoelastic Response Models
Tidal friction in exoplanet systems, driven by orbits that allow for durable
nonzero eccentricities at short heliocentric periods, can generate internal
heating far in excess of the conditions observed in our own solar system.
Secular perturbations or a notional 2:1 resonance between a Hot Earth and Hot
Jupiter can be used as a baseline to consider the thermal evolution of
convecting bodies subject to strong viscoelastic tidal heating. We compare
results first from simple models using a fixed Quality factor and Love number,
and then for three different viscoelastic rheologies: the Maxwell body, the
Standard Anelastic Solid, and the Burgers body. The SAS and Burgers models are
shown to alter the potential for extreme tidal heating by introducing the
possibility of new equilibria and multiple response peaks. We find that tidal
heating tends to exceed radionuclide heating at periods below 10-30 days, and
exceed insolation only below 1-2 days. Extreme cases produce enough tidal heat
to initiate global-scale partial melting, and an analysis of tidal limiting
mechanisms such as advective cooling for earthlike planets is discussed. To
explore long term behaviors, we map equilibria points between convective heat
loss and tidal heat input as functions of eccentricity. For the periods and
magnitudes discussed, we show that tidal heating, if significant, is generally
detrimental to the width of habitable zones.Comment: 18 pages, 9 figure
Is tidal heating sufficient to explain bloated exoplanets? Consistent calculations accounting for finite initial eccentricity
In this paper, we present the consistent evolution of short-period exoplanets
coupling the tidal and gravothermal evolution of the planet. Contrarily to
previous similar studies, our calculations are based on the complete tidal
evolution equations of the Hut model, valid at any order in eccentricity,
obliquity and spin. We demonstrate, both analytically and numerically, that,
except if the system was formed with a nearly circular orbit (e<0.2), solving
consistently the complete tidal equations is mandatory to derive correct tidal
evolution histories. We show that calculations based on tidal models truncated
at second order in eccentricity, as done in all previous studies, lead to
erroneous tidal evolutions. As a consequence, tidal energy dissipation rates
are severely underestimated in all these calculations and the characteristic
timescales for the various orbital parameters evolutions can be wrong by up to
three orders in magnitude.
Based on these complete, consistent calculations, we revisit the viability of
the tidal heating hypothesis to explain the anomalously large radius of
transiting giant planets. We show that, even though tidal dissipation does
provide a substantial contribution to the planet's heat budget and can explain
some of the moderately bloated hot-Jupiters, this mechanism can not explain
alone the properties of the most inflated objects, including HD 209458b.
Indeed, solving the complete tidal equations shows that enhanced tidal
dissipation and thus orbit circularization occur too early during the planet's
evolution to provide enough extra energy at the present epoch. In that case
another mechanisms, such as stellar irradiation induced surface winds
dissipating in the planet's tidal bulges, or inefficient convection in the
planet's interior must be invoked, together with tidal dissipation, to provide
all the pieces of the abnormally large exoplanet puzzle.Comment: 14 pages, 10 figures, Accepted for publication in Astronomy and
Astrophysics
Measuring the relativistic perigee advance with Satellite Laser Ranging
One of the most famous classical tests of General Relativity is the
gravitoelectric secular advance of the pericenter of a test body in the
gravitational field of a central mass. In this paper we explore the possibility
of performing a measurement of the gravitoelectric pericenter advance in the
gravitational field of the Earth by analyzing the laser-ranged data to some
existing, or proposed, laser-ranged geodetic satellites. At the present level
of knowledge of various error sources, the relative precision obtainable with
the data from LAGEOS and LAGEOS II, suitably combined, is of the order of
. Nevertheless, these accuracies could sensibly be improved in the
near future when the new data on the terrestrial gravitational field from the
CHAMP and GRACE missions will be available. The use of the perigee of LARES
(LAser RElativity Satellite), in the context of a suitable combination of
orbital residuals including also LAGEOS II, should further raise the precision
of the measurement. As a secondary outcome of the proposed experiment, with the
so obtained value of \ppn and with \et=4\beta-\gamma-3 from Lunar Laser
Ranging it could be possible to obtain an estimate of the PPN parameters
and at the level.Comment: LaTex2e, 14 pages, no figures, 2 tables. To appear in Classical and
Quantum Gravit
Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited
This report is a review of Darwin's classical theory of bodily tides in which
we present the analytical expressions for the orbital and rotational evolution
of the bodies and for the energy dissipation rates due to their tidal
interaction. General formulas are given which do not depend on any assumption
linking the tidal lags to the frequencies of the corresponding tidal waves
(except that equal frequency harmonics are assumed to span equal lags).
Emphasis is given to the cases of companions having reached one of the two
possible final states: (1) the super-synchronous stationary rotation resulting
from the vanishing of the average tidal torque; (2) the capture into a 1:1
spin-orbit resonance (true synchronization). In these cases, the energy
dissipation is controlled by the tidal harmonic with period equal to the
orbital period (instead of the semi-diurnal tide) and the singularity due to
the vanishing of the geometric phase lag does not exist. It is also shown that
the true synchronization with non-zero eccentricity is only possible if an
extra torque exists opposite to the tidal torque. The theory is developed
assuming that this additional torque is produced by an equatorial permanent
asymmetry in the companion. The results are model-dependent and the theory is
developed only to the second degree in eccentricity and inclination
(obliquity). It can easily be extended to higher orders, but formal accuracy
will not be a real improvement as long as the physics of the processes leading
to tidal lags is not better known.Comment: 30 pages, 7 figures, corrected typo
On the Possibility of Measuring the Gravitomagnetic Clock Effect in an Earth Space-Based Experiment
In this paper the effect of the post-Newtonian gravitomagnetic force on the
mean longitudes of a pair of counter-rotating Earth artificial satellites
following almost identical circular equatorial orbits is investigated. The
possibility of measuring it is examined. The observable is the difference of
the times required to in passing from 0 to 2 for both senses of
motion. Such gravitomagnetic time shift, which is independent of the orbital
parameters of the satellites, amounts to 5 s for Earth; it is
cumulative and should be measured after a sufficiently high number of
revolutions. The major limiting factors are the unavoidable imperfect
cancellation of the Keplerian periods, which yields a constraint of 10
cm in knowing the difference between the semimajor axes of the satellites,
and the difference of the inclinations of the orbital planes which, for
, should be less than . A pair of spacecrafts
endowed with a sophisticated intersatellite tracking apparatus and drag-free
control down to 10 cm s Hz level might allow to meet
the stringent requirements posed by such a mission.Comment: LaTex2e, 22 pages, no tables, 1 figure, 38 references. Final version
accepted for publication in Classical and Quantum Gravit
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