This article aims to verify Kepler’s Third Law for different astronomical systems across various distance scales, such as Jupiter and its four Galilean moons, as well as the Solar System, exoplanets, and galaxies. In the case of Jupiter, we used real and simulated data using the Contemporary Laboratory in Astronomy (CLEA) program, using the equivalence between Simple Harmonic Motion (SHM) and Uniform Circular Motion (UCM). For the Solar System and exoplanets, we employed data from NASA’s space missions, and for galaxies, we utilized data regarding the motion of nearby stars around the Sagittarius A* black hole in the Milky Way. Kepler’s law is verified at lunar, planetary, and exoplanetary scales and is also approximately satisfied for Sagittarius A*. However, Kepler’s Third Law does not hold for the overall motion of stars around galactic centers, as the rotation curves of galaxies exhibit behavior different from that predicted by the inverse square law. It is possible that the influence of dark matter may be dominant in these systems. Keplers Kepler s moons exoplanets CLEA (CLEA program SHM (SHM UCM. UCM . (UCM) NASAs NASA missions A Way lunar planetary However centers (UCM

Este artigo tem como objetivo verificar a terceira lei de Kepler para diferentes sistemas astronômicos em diversas escalas de distância, tais como Júpiter e suas quatro luas Galileanas, bem como o Sistema Solar, exoplanetas e galáxias. No caso de Júpiter utilizamos dados reais e simulados usando o programa Contemporary Laboratory in Astronomy (CLEA) valendo-se da equivalência entre o movimento harmônico simples (MHS) e movimento circular uniforme (MCU). Para o Sistema Solar e exoplanetas usamos dados das missões espaciais da NASA, e para galáxias, usamos dados do movimento de estrelas próximas do buraco negro Sargittarius A* da Via Láctea. A lei de Kepler é verificada nas escalas lunares, planetárias e exoplanetárias, sendo aproximadamente satisfeita também para Sargittarius A*. Por outro lado, a Terceira lei de Kepler não se verifica para o movimento geral de estrelas ao redor dos centros galácticos, pois as curvas de rotação de galáxias apresentam comportamento diferente do estabelecido pela lei do inverso do quadrado e é possível que a influência da componente de matéria escura seja dominante nestes sistemas. distância Galileanas CLEA (CLEA valendose valendo MHS (MHS MCU. MCU . (MCU) NASA Láctea lunares exoplanetárias lado galácticos (MCU

During hollow fiber spinning many variables are involved whose effects are still not completely clear. However, its understanding is of great interest because the control of these variables may originate membranes with the desired morphologies and physical properties. In this work, the phase inversion process induced by the immersion precipitation technique was applied to prepare hollow fibers membranes. It was verified that some of the variables involved, can promote a visco-elastic polymer solution expansion, called die-swell phenomenon, which is undesired since it may lead to low reproducibility of the permeation properties. The effects of the distance between spinneret and precipitation bath, the bore liquid composition, and the polymer solution composition were analyzed and discussed in order to avoid this phenomenon. According to the results, it was verified that the parameters investigated might promote a delay precipitation, which restrained the visco-elastic expansion.