Question 1167713
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1. Kepler observed that Pluto orbits the sun in an elliptic motion. With the
sun at one focus, nearest that Pluto gets to the Sun is 4,400,000,000 km, and the farthest that it goes to the Sun is 7,400,000,000 km. 

a) Assuming that the center of Pluto’s orbit is at (0, 0), find the equation
that models Pluto’s orbit. 
b) If an unidentified planet is located in the other focus, how far is this
planet from the Sun?
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The problem's formulation is  MONSTROUS.



               To part  (a)


Kepler lived  1571 - 1630.


Pluto was discovered in the year  1930.


So,  Kepler  (as a person)  could not observe Pluto and did not know about  Pluto's existence.



               To part  (b)



If another planet is  " placed "  in the other focus  (in the standard meaning of the word  " placed "),

then,  according to  Physics,  this planet will fall to the  Sun.


So,  this formulation in  (b)  is  MONSTROUS,  too.