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I converted .8\" to radians = 3.8785*10^-6 I used p=r/d for the parallax formula

ID: 3308075 • Letter: I

Question

I converted .8" to radians = 3.8785*10^-6

I used p=r/d for the parallax formula and got 6/3.8785*10^-6 to get d=1546989 but this was wrong

An alien astronomer on a distant exoplanet wants to use parallax to measure the distance to our Sun Their planet has an orbit radius of 6.0 AU. They observe our Sun shifting by a parallax angle of 0.8" when measured from opposite sides of their orbit. How far is their exoplanet system from the Sun? Incorrect. The alien is measuring parallax from each side of the orbit. If parallax-baseline / distance, what is the alien's baseline in terms of orbit radius? Number 1546989.8 AU Number 24.46 light years

Explanation / Answer

What you did wrong is converting 0.8" to radian

1"=1/3600 degree

So 0.8"=0.8/3600 degree

1 degree=pi/180 radian

So in radian=1.24*10^(-6) radian

Now putting in formula

We got

p=4838709 AU

Or 76.5 light year

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