Introduction: The aim this work is to show the results obtained in relation to mathematical model... more Introduction: The aim this work is to show the results obtained in relation to mathematical models, applied to the risks analysis in spatial activities. The models were designed and applied specifically for the risks control associated to the Voyager program of NASA, being of principal interest the Voyager-2 mission for the encounter with Jupiter and Saturn (July 9, 1979 and August 25, 1981 respectively). Will be specified here the basic concepts used in the development of the models, describing the mathematical and physical formalisms involved, as well as the obtention of orbital-gravitational factors, that will determine the degrees of influence in the manifestation of structural damage, caused by spatial perturbation across of the Jupiter-Sun-Saturn chain, and showing numerical results. Analytical Method and Results : The model in its fundamental component is based in the Wigner’s Distribution for negative probabilities [2], which is expressed as: ∞ W(x,p) = (1/2π) ∫ ψ٭xR (xR – s...
Introduction: Argyre Planitia, named in 1973, is among one of the largest impact basins on Mars w... more Introduction: Argyre Planitia, named in 1973, is among one of the largest impact basins on Mars with a diameter of approximately 900 km and located at S49.4 deg and W42.8 degrees. Although workers agree that Argyre is a preserved impact crater, they disagree on the geologic processes that have subsequently operated within the basin [1]. Argyre was part of a larger surface hydrological system (the Chese Trough Sanders, 1979) that also included two large valley networks draining the Margaritifer Sinus region northwest of Argyre. The morphometry of these systems suggest a combination of precipitation and groundwater sapping, with surface runoff for their formation (Grant and Parker 2002) [2], distributions of dust devil track has been studied on Argyre too [3]. This work is an application of mathematical models [4] for the determination of impact conditions, and for the prediction of possible hydrothermal zones generated after of the impact. All the calculations are obtained using a HP...
Introduction: The aim this work is to show the results obtained in relation to mathematical model... more Introduction: The aim this work is to show the results obtained in relation to mathematical models, applied to the risks analysis in spatial activities. The models were designed and applied specifically for the risks control associated to the Voyager program of NASA, being of principal interest the Voyager-2 mission for the encounter with Jupiter and Saturn (July 9, 1979 and August 25, 1981 respectively). Will be specified here the basic concepts used in the development of the models, describing the mathematical and physical formalisms involved, as well as the obtention of orbital-gravitational factors, that will determine the degrees of influence in the manifestation of structural damage, caused by spatial perturbation across of the Jupiter-Sun-Saturn chain, and showing numerical results. Analytical Method and Results : The model in its fundamental component is based in the Wigner’s Distribution for negative probabilities [2], which is expressed as: ∞ W(x,p) = (1/2π) ∫ ψ٭xR (xR – s...
Introduction: Argyre Planitia, named in 1973, is among one of the largest impact basins on Mars w... more Introduction: Argyre Planitia, named in 1973, is among one of the largest impact basins on Mars with a diameter of approximately 900 km and located at S49.4 deg and W42.8 degrees. Although workers agree that Argyre is a preserved impact crater, they disagree on the geologic processes that have subsequently operated within the basin [1]. Argyre was part of a larger surface hydrological system (the Chese Trough Sanders, 1979) that also included two large valley networks draining the Margaritifer Sinus region northwest of Argyre. The morphometry of these systems suggest a combination of precipitation and groundwater sapping, with surface runoff for their formation (Grant and Parker 2002) [2], distributions of dust devil track has been studied on Argyre too [3]. This work is an application of mathematical models [4] for the determination of impact conditions, and for the prediction of possible hydrothermal zones generated after of the impact. All the calculations are obtained using a HP...
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