Even 400 years after Kepler's “Astronomia Nova” gravity is still of outstanding importance for many research areas, including astronomy. In two short talks, we propose to introduce cutting-edge topics of gravity research. We will be covering largest scales (e.g. cosmological structure formation) as well as – astronomically speaking – small scales, such as planetary systems. We will demonstrate a variety of links between research on gravitation and such fields as chaos theory, Dark Matter research, high-performance computing and GPS. We want especially to highlight the great importance of understanding gravitational processes for modern research.