A Journey to Mars: Hohmann Transfer Orbit Simulation

This GeoGebra example simulates the journey of a spacecraft from Earth to Mars, demonstrating the geometric construction and dynamic motion of a Hohmann transfer orbit. The core mathematical concepts include elliptical orbits, Kepler's laws, conservation of energy and angular momentum in orbital mechanics, as well as parametric equations and vector operations. The construction uses the Circle command to draw the orbits of the Sun, Earth, and Mars; the Vector command to represent position and velocity vectors; the Angle and If commands to control the departure angle and conditional logic; and a slider t (time parameter) to animate the spacecraft along the elliptical transfer path while showing the changing relative positions of Earth and Mars. This example is suitable for high school physics or introductory university astronomy courses, serving as an engaging cross-disciplinary case for teaching celestial mechanics, orbital transfer, and mathematical modeling in aerospace engineering.