The Martian: Hermes Spacecraft Trajectories

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Presentation transcript:

The Martian: Hermes Spacecraft Trajectories Gavin VonSeggern

Hermes Trajectories: Methods In the story, the spacecraft “Hermes” travels from Earth to Mars, accidentally abandons astronaut Mark Watney, then begins travelling back to Earth Before reaching Earth, the Hermes crew realizes Watney is alive and adjusts their trajectory to slingshot around Earth and head back to Mars I first programmed the orbits of Earth and Mars around the Sun (assuming circular orbits) and placed them in relative positions for the date 7/7/2035 I then used the Runge-Kutta method to solve the ODE for Hermes’ position and velocity, programming 3 separate trips (Earth to Mars, Mars to Earth, Slingshot) by adjusting Hermes’ angle and initial velocity I was able to successfully program the first 2 trips but the slingshot proved difficult Code is executed by running “planetary_orbits.m” which calls on “kepler_ode_final.m”

Trip 1: Earth to Mars 124 Earth Days

Trip 2: Mars to (almost) Earth 148 Earth Days

Trip 3: Attempted Slingshot 12 days from repositioning to closest earth flyby (~10,000 km) No gravitational force experienced