The dwarf planet Eris orbits the Sun every 557 years. 1. What its average distance (semimajor axis) from the Sun? Answer in —–Eris’s semimajor axis= ? A.U 2. How does its average distance compare to that of Pluto? Answer in —–aEris/aPluto=?

1) Given : Orbital period of Eris (P) = 557 years.

Semimajor axis (a) = ?

From Kepler’s third law, P2 =

a3

Where, P is the orbital period in years and a is the semimajor

axis in AU.

or, a3 = (557)2 = 310249 AU

or, a = 67.697 AU

2) Semi major axis of Pluto = 39.482 AU.

Semi major axis of Eris = 67.697 AU

Therefore, aEris/aaPluto =

67.697/39.482 = 1.714

So, aEris = 1.714 aPluto.

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