Solar System:
A) Use the length of the major axis to determine a.
major axis= 2a
2a=79.6 a=39.8 AU
B) Use the eccentricity and a to determine the focal radius c. (Round to 2 decimal places.)
c=ea
=0.248(39.8)
=9.8704 AU
=9.87 AU
C) Write an equation of form (x-c)^2/a^2+y^2/b^2 =1 to model pluto's orbit. (find b first).
c^2=a^-b^2
9.87^2=39.8^2-b^2
9.87^2-39.8^2=-b^2
b^2=1486.63
b=38.56 AU
D) The perigee is when the Pluto is closest to the sun. The apogee is when it is furthest from the sun. What are the distances from the sun at these points?
Perigee -29.93 AU Apogee -49.67 AU
major axis= 2a
2a=79.6 a=39.8 AU
B) Use the eccentricity and a to determine the focal radius c. (Round to 2 decimal places.)
c=ea
=0.248(39.8)
=9.8704 AU
=9.87 AU
C) Write an equation of form (x-c)^2/a^2+y^2/b^2 =1 to model pluto's orbit. (find b first).
c^2=a^-b^2
9.87^2=39.8^2-b^2
9.87^2-39.8^2=-b^2
b^2=1486.63
b=38.56 AU
D) The perigee is when the Pluto is closest to the sun. The apogee is when it is furthest from the sun. What are the distances from the sun at these points?
Perigee -29.93 AU Apogee -49.67 AU