ArXiv Preprint Shows Full Mars Round-Trip Computable with High-School Newtonian Mechanics

The paper integrates Newtonian gravitation, kinetic and potential energy, and basic orbital mechanics into one framework. Students calculate escape velocity from Earth, the semi-major axis of the transfer ellipse, and arrival speed at Mars without calculus or numerical simulation. This produces concrete numbers such as a 259-day outbound leg and the precise delta-v budget required for a minimum-energy trajectory.

Contextual analysis reveals the work directly addresses documented drops in physics enrollment by replacing abstract inclined planes with a mission whose parameters match NASA reference trajectories. It also exposes the gap between simplified two-body models and real mission planning that must account for planetary atmospheres and launch windows.

The principal limitation is the assumption of instantaneous impulses and circular coplanar orbits, which underestimates propellant mass by roughly 15 percent compared with patched-conic or full ephemeris solutions. Classroom trials measuring conceptual gains versus standard curricula would strengthen claims of improved accessibility.

Future impact hinges on whether teacher networks convert the derivations into ready-to-use modules before competing visualization tools dominate introductory astronomy courses.