(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The asteroid Icarus, though only a few hundred meters across, orbits the Sun like the other planents. Its period is about 410 d. What is its mean distance from the Sun?

2. Relevant equations

Keplers Law

T_1 ^2 / T_2 ^2 = S_1 ^3 / S_2 ^3

3. The attempt at a solution

I chose my second reference point to be the earth

the distance from the earth to the sun is about 1.5 E 11 m

the period of the Earht is one day or 8.64E4 s

410 d is equal to 3.542E7 s

from keplers law

S_1 = CUBEROOT( (T_1^2 S_2^3)/T_2^2

CUBEROOT( ((3.542 E 7 s)^2 (1.5 E 11 m)^3)/(8.64 E 4 s)^2

I'm getting about 1.87 E 11 m

the book says 1.62 E 11 m

what am I doing wrong

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