Simulate the potential impact of asteroids on Earth or other celestial bodies. Analyze the effects and potential mitigation strategies.

Use data from telescopes to detect and analyze exoplanets using transit photometry. Create models to predict the characteristics of these distant worlds.

Develop algorithms to optimize spacecraft trajectories for interplanetary travel. Simulate different flight paths to determine the most efficient route.

Develop a computational model to study the causes of solar flares and predict their occurrence. Analyze solar activity data, such as sunspot cycles and magnetic field patterns, to forecast solar flares and assess their potential impact on Earth’s technology and communication systems.

Track and document the phases of the moon over a month. Create a visual representation or simple model of how the moon's phases change over time, and explore how these changes affect tides and other natural phenomena.

Design a simulation of a colony on Mars, focusing on how to sustain human life in a harsh environment. Consider aspects like resource management, habitat construction, and the psychological effects of long-term space living. Analyze the challenges and propose solutions to make a Mars colony viable.