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## Homework Statement

The asteroid Pasachoff orbits the Sun with a period of 1417 days.

What is the semimajor axis of its orbit? Determine from Kepler's third law, using Earth's orbital radius and period, respectively, as your units of distance and time.

ans : _______ km

## Homework Equations

T^2 = (4(pi^2) r^3) / GM

## The Attempt at a Solution

1417 days -> 122428800

(122428800)^2 = 4*pi^2 (r^3) / GM

r^3 = (122428800 GM )/ (pi^2*4)

r^3 ~ 4.116 x 10^26

r ~ 7.429 * 10^8 km

I dont know is this right?

I used M = mass of the sun = 1.99*10^30.

G = 6.67 * 10^-11