VIRTUAL CONFERENCE ictcm.com | #ICTCM 32 nd International Conference - PowerPoint PPT Presentation

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE ictcm.com | #ICTCM

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Spacegrounds: Playgrounds in which Students Can Play/Learn Mathematics in the Context of Space Travel

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Contact Information Frank Wattenberg United States Military Academy Frank.Wattenberg@westpoint.edu Frank.Wattenberg@mac.com

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Disclaimer: The views expressed here do not necessarily reflect the views of the United States Military Academy, the United States Army, or the United States Government

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Playgrounds and the COVID-19 Pandemic

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Spaceground Start – Hohmann Transfer Mars Orbit Elliptical Orbit First burn perihelion 2 nd burn aphelion Earth Orbit

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Earth velocity around Sun → • The Earth is traveling toward the top of the screen. It is rotating counterclockwise around Rocket velocity around Earth → the Sun, which is far off to the left. • Rocket trajectory The rocket in its parking orbit is rotating counterclockwise around the Earth. • For this example the Parking orbit velocity vectors for the Earth (around the Sun) and the rocket (around the Earth) point in the same direction.

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Earth velocity around Sun → Trajectory Parking orbit Rocket velocity around Earth →

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Spaceground Equipment • The language of differential equations • Vectors or parametric equations • Position, velocity, acceleration, force • Gravity • Numerical solution of initial value problems

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM The Obvious Answer

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Time and Energy

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Contact Information Frank Wattenberg United States Military Academy Frank.Wattenberg@westpoint.edu Frank.Wattenberg@mac.com