Analytical study of the radio signals propagation in planetary atmospheres

The ESA JUICE (JUpiter ICy moons Explorer) mission is planned for launch in 2022 and arrival at Jupiter around 2030. The mission is dedicated to the study of the giant gaseous and its largest moons. While the spacecraft will probe the Jovian system it will be occulted by the atmosphere of Jupiter or its satellites as seen from antennas on Earth. Such a configuration offers a great opportunity to study remotely the physical properties of the occulting atmosphere using radio links as the probe is being occulted. Indeed, non-unity index of refraction causes the electromagnetic waves to depart from the straight line and also impacts the propagation speed of the waves. Both changes modify the wave frequency and conversely, from the time variation of the Doppler measurements the index of refraction profile can be retrieved. In the literature, there are different approaches devoted to the retrieval of the refractive profile from these observables. Let mention, i) the analytic formulation of the Abel inversion which is employed for spherically symmetric atmospheres, and ii) the ray tracing method which is a numerical integration of the fundamental equations of optics and which is well suited for atmospheres with more complicated shapes. Both possess their own advantages and inconveniences. For instance, to invert a complete set of data, the ray tracing method requires more computational time than the Abel transformation. In return, the Abel inversion is based on the spherical symmetry assumption while the ray tracing technique can handle non-radial gradient in the refractive profile. In the context of the future occultations of JUICE by Jupiter, we discuss the benefit of a new formalism based on a full reformulation of the fundamental equations of optics. This new approach let to provide a very comprehensive description of the light trajectory inside a planetary atmosphere with no assumption on the refractive profile. In the special case where the departure from the spherical symmetry is small, we present an analytic solution which is well suited for the data processing of radio occultation experiments. Indeed, this solution can handle the effect of a non-spherically symmetric atmosphere with a low computational cost. We use this solution to process the Cassini Doppler data acquired during an occultation by the oblate atmosphere of Saturn. The validity of the proposed approach is assessed comparing the results with other studies available in the literature

Detection of rapid orbital expansion of Saturn’s moon Titan

The Saturn satellite system is a complex dynamical system with several gravitational interactions happening between the satellites, the rings and the central body, such as resonances, librations and tides. These intricate dynamics carry information on the formation and evolution of the Saturn and Solar systems

Detection of rapid orbital expansion of Saturn’s moon Titan

The Saturn satellite system is a complex dynamical system with several gravitational interactions happening between the satellites, the rings and the central body, such as resonances, librations and tides. These intricate dynamics carry information on the formation and evolution of the Saturn and Solar systems

Tropospheric Delay Calibration System Performance During the First Two BepiColombo Solar Conjunctions

Media propagation delay and delay-rate induced by the water vapor within the Earth's troposphere represent one of the main error sources for radiometric measurements in deep space. In preparation for the BepiColombo and JUICE missions, the European Space Agency has installed and operates the prototype of a tropospheric delay calibration system (TDCS) at the DSA-3 ground station located in Malargüe, Argentina. An initial characterization of the TDCS performance was realized using two-way Doppler measurements at X-band to perform the orbit determination of the Gaia spacecraft. This work will further characterize the system by analyzing two-way Doppler and range data at X- and Ka-band for 31 tracking passes of the BepiColombo spacecraft, which were recorded between March 2021 and February 2022 during the first two solar conjunction experiments. The performance exceeds the expectations based on the previous analysis, with a reduction of the Doppler noise of 51% on average and up to 73% when using the TDCS measurements in place of standard calibrations based on global navigation satellite system data. Furthermore, the campaign serves as validation of the TDCS operations during superior solar conjunctions, with most of the tracking passes at low elongation now satisfying the Mercury orbiter radioscience experiment requirements on two-way Doppler stability. These results, which are in line with those of similar instruments installed at other Deep Space Network antennas, are obtained using a commercial microwave radiometer with significantly lower installation and maintenance costs

Height and body-mass index trajectories of school-aged children and adolescents from 1985 to 2019 in 200 countries and territories: a pooled analysis of 2181 population-based studies with 65 million participants

Summary Background Comparable global data on health and nutrition of school-aged children and adolescents are scarce. We aimed to estimate age trajectories and time trends in mean height and mean body-mass index (BMI), which measures weight gain beyond what is expected from height gain, for school-aged children and adolescents. Methods For this pooled analysis, we used a database of cardiometabolic risk factors collated by the Non-Communicable Disease Risk Factor Collaboration. We applied a Bayesian hierarchical model to estimate trends from 1985 to 2019 in mean height and mean BMI in 1-year age groups for ages 5–19 years. The model allowed for non-linear changes over time in mean height and mean BMI and for non-linear changes with age of children and adolescents, including periods of rapid growth during adolescence. Findings We pooled data from 2181 population-based studies, with measurements of height and weight in 65 million participants in 200 countries and territories. In 2019, we estimated a difference of 20 cm or higher in mean height of 19-year-old adolescents between countries with the tallest populations (the Netherlands, Montenegro, Estonia, and Bosnia and Herzegovina for boys; and the Netherlands, Montenegro, Denmark, and Iceland for girls) and those with the shortest populations (Timor-Leste, Laos, Solomon Islands, and Papua New Guinea for boys; and Guatemala, Bangladesh, Nepal, and Timor-Leste for girls). In the same year, the difference between the highest mean BMI (in Pacific island countries, Kuwait, Bahrain, The Bahamas, Chile, the USA, and New Zealand for both boys and girls and in South Africa for girls) and lowest mean BMI (in India, Bangladesh, Timor-Leste, Ethiopia, and Chad for boys and girls; and in Japan and Romania for girls) was approximately 9–10 kg/m2. In some countries, children aged 5 years started with healthier height or BMI than the global median and, in some cases, as healthy as the best performing countries, but they became progressively less healthy compared with their comparators as they grew older by not growing as tall (eg, boys in Austria and Barbados, and girls in Belgium and Puerto Rico) or gaining too much weight for their height (eg, girls and boys in Kuwait, Bahrain, Fiji, Jamaica, and Mexico; and girls in South Africa and New Zealand). In other countries, growing children overtook the height of their comparators (eg, Latvia, Czech Republic, Morocco, and Iran) or curbed their weight gain (eg, Italy, France, and Croatia) in late childhood and adolescence. When changes in both height and BMI were considered, girls in South Korea, Vietnam, Saudi Arabia, Turkey, and some central Asian countries (eg, Armenia and Azerbaijan), and boys in central and western Europe (eg, Portugal, Denmark, Poland, and Montenegro) had the healthiest changes in anthropometric status over the past 3·5 decades because, compared with children and adolescents in other countries, they had a much larger gain in height than they did in BMI. The unhealthiest changes—gaining too little height, too much weight for their height compared with children in other countries, or both—occurred in many countries in sub-Saharan Africa, New Zealand, and the USA for boys and girls; in Malaysia and some Pacific island nations for boys; and in Mexico for girls. Interpretation The height and BMI trajectories over age and time of school-aged children and adolescents are highly variable across countries, which indicates heterogeneous nutritional quality and lifelong health advantages and risks

Development of methods for the global ephemerides estimation of the gas giant satellite systems

The satellite systems of Saturn and Jupiter are complex dynamical systems, with several interactions happening between the central body, its rings and the natural satellites. During the last two decades, unmanned probes allowed to study the gas giant satellite systems. The three most relevant spacecrafts to their study have been Galileo, Cassini and Juno. Galileo studied the Jupiter system, the primary body and the main moons during 8 years, despite the failure on the deployment of its high gain antenna that limited the science retrieval. Cassini, analogously, studied during most of the 13 years of its mission, the natural satellites, paying specific attention to Titan. Then, in 2017 both Cassini and Juno spacecrafts were used to carry out gravity measurements of Saturn and Jupiter. Both spacecraft were inserted into similar, almost polar, highly eccentric orbits with low pericenter altitudes. Tracking the motion of the probes during pericenter passes from the DSN enabled the retrieval of the gravity field of both gas giants at an unprecedented level of accuracy. These results provide constraints on the interiors of the gas giants, but also, on the satellite system ephemerides which, analogously, hold information on the properties and evolution of both the satellites themselves and the central body. The main aim of this project is to study and characterize the key dynamics that rule the gas giant satellite systems using an improved gravity field of the central body, estimated using radio tracking data of deep space probes. To accomplish our objective, we performed the data analysis of the previously mentioned deep space missions: Cassini, Juno and Galileo. Being the three probes the very first orbiters of gas giant planets, they provided, and still provide, precious information which contributes to unveil the gas giant satellite systems dynamics, their origin and evolution

The gravity field and interior structure of Dione

During its mission in the Saturn system, Cassini performed five close flybys of Dione. During three of them, radio tracking data were collected during the closest approach, allowing estimation of the full degree-2 gravity field by precise spacecraft orbit determination. The gravity field of Dione is dominated by J2 and C22, for which our best estimates are J2 x 10^6 = 1496 \ub1 11 and C22 x 10^6 = 364.8 \ub1 1.8 (unnormalized coefficients, 1-\u3c3 uncertainty). Their ratio is J2/C22 = 4.102 \ub1 0.044, showing a significative departure (about 17-\u3c3) from the theoretical value of 10/3, predicted for a relaxed body in slow, synchronous rotation around a planet. Therefore, it is not possible to retrieve the moment of inertia directly from the measured gravitational field. The interior structure of Dione is investigated by a combined analysis of its gravity and topography, which exhibits an even larger deviation from hydrostatic equilibrium, suggesting some degree of compensation. The gravity of Dione is far from the expectation for an undifferentiated hydrostatic body, so we built a series of three-layer models, and considered both Airy and Pratt compensation mechanisms. The interpretation is non-unique, but Dione\u2019s excess topography may suggest some degree of Airy-type isostasy, meaning that the outer ice shell is underlain by a higher density, lower viscosity layer, such as a subsurface liquid water ocean. The data permit a broad range of possibilities, but the best fitting models tend towards large shell thicknesses and small ocean thicknesses

An FFT-based method for doppler observables estimation in deep space tracking

Doppler tracking is nowadays an essential tool in deep space orbit determination and radio science investigations. One of the most critical steps in this tracking process is the frequency estimation, and the variance of this estimation process is directly linked to the accuracy of spacecraft range-rate estimation, therefore possibly limiting it. In this paper, an FFT-based algorithm is presented and characterized using signals corrupted by additive noise channels of varying intensity. A comparison to the current operational tracking method for Open Loop data, based on Phase-Locked Loops, is presented and discussed. Monte Carlo simulations confirm that the estimation accuracy of the proposed method is appropriate for radio science experiments and achieves better accuracies than the alternative method already in use, in case of low signal-to-noise ratios

Determination of uncertainty profiles in neutral atmospheric properties measured by radio occultation experiments

Radio occultations are commonly used to assess remotely atmospheric properties of planets or satellites within the solar system. The data processing usually involves the so-called Abel inversion method or the numerical ray-tracing technique. Both are now well established, however, they do not allow to easily determine the uncertainty profiles in atmospheric properties, and this makes results difficult to interpret statistically. Recently, a purely analytical approach based on the time transfer functions formalism was proposed for modeling radio occultation data. Using this formulation, we derive uncertainty relationships between the frequency shift and neutral atmosphere properties such as temperature, pressure, and neutral number density. These expressions are relevant for interpreting previous results from past radio occultation experiments and for deriving the system requirements for future missions in a rigorous manner, and consistently with the scientific requirements about the atmospheric properties retrieval