The asteroid Icarus, discovered in 1949, was so named because its highly eccentric elliptical orbit brings it

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The asteroid Icarus, discovered in 1949, was so named because its highly eccentric elliptical orbit brings it close to the sun at perihelion. The eccentricity e of an ellipse is defined by the relation dp = a(1 - e), where dp is the perihelion distance and a is the semimajor axis. Icarus has an eccentricity of 0.83. The period of Icarus is 1.1 years.  

(a) Determine the semimajor axis of the orbit of Icarus.

(b) Find the perihelion and aphelion distances of the orbit of Icarus.

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