Space Elipses

Uploaded from authorPOINTLite
Views:
 
Category: Education
     
 

Presentation Description

No description available.

Comments

Presentation Transcript

Could you make your marble orbit like this?: 

Could you make your marble orbit like this? Engagement

An oval?…no no a racetrack...wait! A silly putty container painted white!: 

An oval?…no no a racetrack...wait! A silly putty container painted white! Engagement How can we describe this shape? What is the mathematical name of this shape?

Ellipses: 

Ellipses

Major Axis: 

Major Axis

Major Axis: 

Major Axis

Major Axis ... size!: 

Major Axis ... size!

Semi-major axis: 

Semi-major axis a a a

a = half the longest diameter: 

a = half the longest diameter a a a

Two foci: 

Two foci

distance between foci: 

distance between foci ?

c = distance from center to focus: 

c = distance from center to focus c c c?

eccentricity = c ÷ a: 

eccentricity = c ÷ a a a a c=0 c c

eccentricity ... shape!: 

eccentricity ... shape! a a a c=0 c c

Sum of distances to foci: 

Sum of distances to foci

remains constant ...: 

remains constant ...

remains constant ...: 

remains constant ...

remains constant ...: 

remains constant ...

remains constant ...: 

remains constant ...

remains constant ...: 

remains constant ...

remains constant ...: 

remains constant ...

and equals 2a (major axis ): 

and equals 2a (major axis )

Drawing an ellipse:: 

Drawing an ellipse: pencil

Drawing an ellipse:: 

Drawing an ellipse: pencil string

Drawing an ellipse:: 

Drawing an ellipse: pencil string

keep the string taut:: 

keep the string taut:

Just trace it on around.: 

Just trace it on around.

Just trace it on around.: 

Just trace it on around.

Just trace it on around.: 

Just trace it on around.

Just trace it on around.: 

Just trace it on around.