The Elliptical Orbit

Expression 17: "n" equals negative .5 left parenthesis, sin left parenthesis, "s" , right parenthesis plus "b" left parenthesis, sin "s" , right parenthesis , right parenthesis

equals

negative 5.4 8 7 2 6 3 5 3 3 6

Orbital Paths

Expression 19: "x" squared plus "y" squared equals 1

Expression 20: 1 equals StartFraction, "x" squared Over "a" squared , EndFraction plus StartFraction, "y" squared Over "b" squared , EndFraction

Expression 21: 1 equals StartFraction, "x" squared plus 109 Over .5 "a" squared , EndFraction plus StartFraction, "y" squared plus 1 Over 10 "b" squared , EndFraction

Expression 22:

Rotational Around Center (External)

Expression 24: "d" Subscript, "e" "g" "r" "e" "e" "O" "f" "R" "o" "t" "a" "t" "i" "o" "n" , Baseline equals 267

360

Expression 25: "s" equals StartFraction, negative "d" Subscript, "e" "g" "r" "e" "e" "O" "f" "R" "o" "t" "a" "t" "i" "o" "n" , Baseline pi Over 180 , EndFraction

equals

negative 4.6 4 4 3 2 1 1 3 9 5 6

Imaginary Stick

"x" Subscript, 1 , Baseline	"y" Subscript, 1 , Baseline Has graph. To audio trace, press ALT+T.
"m"	"n"	r1c3:
"w"	"z"	r2c3:
		r3c3:

Circle for the Moon

Rotation around Axis (Internal)

Expression 32: "d" Subscript, 1 "e" "g" "r" "e" "e" "O" "f" "R" "o" "t" "a" "t" "i" "o" "n" , Baseline equals 180

negative 360

360

Expression 33: "t" equals StartFraction, "d" Subscript, 1 "e" "g" "r" "e" "e" "O" "f" "R" "o" "t" "a" "t" "i" "o" "n" , Baseline pi Over 180 , EndFraction

equals

3.1 4 1 5 9 2 6 5 3 5 9

Elliptical Shape

Expression 35: "a" equals 15

Expression 36: "b" equals 10