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3
Content available remote Impact of the atmospheric drag on Starlette, Stella, AJISAI, and LARES orbits
EN
The high-quality satellite orbits of geodetic satellites, which are determined using Satellite Laser Ranging (SLR) observations, play a crucial role in providing, e.g., low-degree coefficients of the Earth’s gravity field including geocenter coordinates, Earth rotation parameters, as well as the SLR station coordinates. The appropriate modeling of non-gravitational forces is essential for the orbit determination of artificial Earth satellites. The atmospheric drag is a dominating perturbing force for satellites at low altitudes up to about 700-1000 km. This article addresses the impact of the atmospheric drag on mean semi-major axes and orbital eccentricities of geodetic spherical satellites: Starlette, Stella, AJISAI, and LARES. Atmospheric drag causes the semi-major axis decays amounting to about Δa = -1.2, -12, -14, and -30 m/year for LARES, AJISAI, Starlette, and Stella, respectively. The density of the upper atmosphere strongly depends on the solar and geomagnetic activity. The atmospheric drag affects the along-track orbit component to the largest extent, and the out-of-plane to a small extent, whereas the radial component is almost unaffected by the atmospheric drag.
4
Content available remote LAGEOS Sensitivity to Ocean Tides
EN
Satellite Laser Ranging (SLR) to LAGEOS has a remarkable contribution to high-precise geodesy and geodynamics through deriving and validating various global geophysical models. This paper validates ocean tide models based on the analysis of satellite altimetry data, coastal tide gauges, and hydrodynamic data, i.e., CSR3.0, TOPEX4.0, CSR4.0A, FES2004, GOT00.2, and the CSRC Schwiderski model. LAGEOS orbits and SLR observation residuals from solutions based on different ocean tide models are compared and examined. It is found that LAGEOS orbits are sensitive to tidal waves larger than 5 mm. The analysis of the aliasing periods of LAGEOS orbits and tidal waves reveals that, in particular, the tidal constituent S2 is not well established in the recent ocean tide models. Some of the models introduce spurious peaks to empirical orbit parameters, which can be associated with S2, Sa, and K2 tidal constituents, and, as a consequence, can be propagated to fundamental parameters derived from LAGEOS observations.
5
Content available remote Sensitivity of LAGEOS orbits to global gravity field models
EN
Precise orbit determination is an essential task when analyzing SLR data. The quality of the satellite orbits strongly depends on the models used for dynamic orbit determination. The global gravity field model used is one of the crucial elements, which has a significant influence on the satellite orbit and its accuracy. We study the impact of different gravity field models on the determination of the LAGEOS-1 and -2 orbits for data of the year 2008. Eleven gravity field models are compared, namely JGM3 and EGM96 based mainly on SLR, terrestrial and altimetry data, AIUB-CHAMP03S based uniquely on GPSmeasurements made by CHAMP, AIUB-GRACE03S, ITG-GRACE2010 based on GRACE data, and the combined gravity field models based on different measurement techniques, such as EGM2008, EIGEN-GL04C, EIGEN51C, GOCO02S, GO-CONS-2-DIR-R2, AIUB-SST. The gravity field models are validated using the RMS of the observation residuals of 7-day LAGEOS solutions. The study reveals that GRACE-based models have the smallest RMS values (i.e., about 7.15 mm), despite the fact that no SLR data were used to determine them. The coefficient C20 is not always well estimated in GRACE-only models. There is a significant improvement of the gravity field models based on CHAMP, GRACE and GOCE w.r.t. models of the pre-CHAMP era. The LAGEOS orbits are particularly sensitive to the long wavelength part of the gravity fields. Differences of the estimated orbits due to different gravity field models are noticeable up to degree and order of about 30. The RMS of residuals improves from about 40 mm for degree 8, to about 7 mm for the solutions up to degrees 14 and higher. The quality of the predicted orbits is studied, as well.
PL
Lotniczy skaning laserowy stanowi efektywne narzędzie do pozyskiwania informacji zarówno o fizycznej powierzchni ziemi, jak i elementach pokrycia terenu. Kluczowe zagadnienie w przetwarzaniu danych pochodzących ze skaningu laserowego stanowi filtracja, rozumiana jako eliminacja wszystkich punktów, nie należących do określonej powierzchni. Ze względu na duże zbiory danych skaningu laserowego poszukuje się szybkich algorytmów obliczeniowych, posiadających możliwości analizy danych w bardzo krótkim czasie. W artykule podjęto próbę opracowania uniwersalnej metody szybkiej filtracji danych lotniczego skaningu laserowego, opartej na analizie falkowej. W tym celu opracowano algorytm dwuetapowej filtracji, realizujący proces eliminacji punktów w dziedzinie częstotliwości. Filtrację oparto na założeniu, że wysokie częstotliwości sygnału, utożsamianego z profilami terenowymi, korespondują z obiektami na powierzchni terenu. Niskie częstotliwości odpowiadają natomiast za ogólny przebieg powierzchni gruntu. W pierwszym etapie filtracji opartej na filtrze dolnoprzepustowym dyskretnej transformacji falkowej, przeprowadzana jest identyfikacja wszystkich punktów znacznie odstających od powierzchni aproksymacji. Następuje redukcja wysokości punktów oraz budowa kolejnej powierzchni aproksymacji, nie zaburzonej wpływem obiektów terenowych. Aproksymacja terenu przybliża przebieg powierzchni gruntu, dzięki czemu algorytm działa zarówno w terenie płaskim, pochyłym, jak i pagórkowatym. Testy numeryczne opracowanego algorytmu zostały przeprowadzone na danych rzeczywistych. Wyniki filtracji danych na obiektach testowych są satysfakcjonujące. Skuteczność algorytmu oceniono na 95%, przy możliwości filtracji 1 miliona punktów w czasie 3.4 sekundy na komputerze przeciętnej klasy.
EN
Airborne Laser Scanning (ALS) provides an effective tool for gaining data about physical terrain as well as features on the earth’s surface. The main problem in the process of analysing ALS data is filtration, i.e. the elimination of all recorded points which do not belong to the particular surface being considered. Because large datasets of points are being considered, appropriately fast algorithms are needed in order to process the data in a very short timespan. The objective of the research was to develop a universal method of fast filtration of the airborne laser scanning data based on wavelet analysis. The algorithm of two-steps filtration, which has been developed for this purpose, carries out the process of filtration in the domain of wavelet frequency. In this process, high frequencies of the signal, which can be thought as the terrain profiles, correspond to objects on the surface. Low frequencies are basically responsible for the surface of the ground. In the first step of the filtration process, based on a low pass filter of discrete wavelet transform, the identification of all points which lie away from the approximation surface, is made. Then a reduction in the height of the points is carried out as well as the construction of a final approximation surface, which is unbiased by the influence of artificial structures on the ground. This completes the filtration process. The algorithm works well both on a flat area as well as in hilly and mountainous terrain. The method has been tested on real data obtained by airborne laser scanning carried out in the “Widawa River Valley” campaign in 2005. The results of filtration are satisfactory. The accuracy of the algorithm was estimated at 95 %, with a capacity to filter 1 million points in 3.4 seconds
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