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

▶

Oct 30, 2023 146 likes •299 views

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

SLIDE 1

32nd International Conference on Technology in Collegiate Mathematics

ictcm.com | #ICTCM

VIRTUAL CONFERENCE

SLIDE 2

32nd 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

SLIDE 3

32nd 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

SLIDE 4

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Disclaimer: The views expressed here do not necessarily reflect the views

f the United States Military Academy, the United States Army, or the

United States Government

SLIDE 5

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Playgrounds and the COVID-19 Pandemic

SLIDE 6

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Mars Orbit Elliptical Orbit First burn perihelion 2nd burn aphelion Earth Orbit Spaceground Start – Hohmann Transfer

SLIDE 7

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Parking orbit Rocket trajectory Earth velocity around Sun → Rocket velocity around Earth →

The Earth is traveling

toward the top of the

screen. It is rotating

counterclockwise around the Sun, which is far off to the left.

The rocket in its parking
rbit is rotating

counterclockwise around the Earth.

For this example the

velocity vectors for the Earth (around the Sun) and the rocket (around the Earth) point in the same direction.

SLIDE 8

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Earth velocity around Sun→ Parking orbit Trajectory Rocket velocity around Earth→

SLIDE 9

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

The language of differential equations
Vectors or parametric equations
Position, velocity, acceleration, force
Gravity
Numerical solution of initial value problems

Spaceground Equipment

SLIDE 10

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

SLIDE 11

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

The Obvious Answer

SLIDE 12

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

SLIDE 13

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

SLIDE 14

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM

Time and Energy

SLIDE 15

32nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE

#ICTCM