Question

ASTRONOMY*** Please help with these two questions ill give thumbs

up!






here is equation 3
Suppose I found a star whose absolute magnitude was -4 \), and its apparent magnitude was 6. How far away is that star? (Use Equation 3) For full credit, use proper units. Suppose I found a star wh

Answer 1

We can use the formula for calculating distance using absolute and apparent magnitudes, known as the distance modulus equation:

m - M = 5 * log10(d/10)

where m is the apparent magnitude, M is the absolute magnitude, and d is the distance to the star in parsecs.

Substituting the given values, we get:

6 - (-4) = 5 * log10(d/10)

Simplifying, we get:

10 = 5 * log10(d/10)

Dividing both sides by 5, we get:

2 = log10(d/10)

Using the definition of logarithms, we can rewrite this as:

d/10 = 10^2

d/10 = 100

Multiplying both sides by 10, we get:

d = 1000 parsecs

So the star is located 1000 parsecs away.

Note that parsecs are commonly used in astronomy as a measure of distance, and are defined as the distance at which one astronomical unit (AU) subtends an angle of one arcsecond. One parsec is approximately 3.26 light-years or 3.09 x 10^13 kilometers.