Distances to the Stars Flashcards
what is a light year and its value
- it is the distance light can travel in one year
- which is 9.46x10^15 m
what is the definition of an astronomical unit (AU)
the radius of the earths orbit around the sun
what is the value of 1 AU
1.5x10^11 m
how does the trigonometric parallax illusion work with earth, the sun and other stars
- as the earth moves around the sun
- a relatively close star will appear to move across the background of more distant stars
- but the star doesnt actually move significantly during the course of observation
how do you determine the the trigonometric parallax
- measure the angle to a star
- observe how that angle changes as the position of the earth changes
what change in the position of the earth are we looking for and why
- we are looking for the earth to be on the opposite side of its orbit relative to the sun
- which would take 6 months
- this means the distance the earth travelled (distance in a straight line) was 2 AU
what is the large triangle that has been set up from the movement of earth around its orbit when observing another star
- the two positions of the earth make one side of the triangle (2r)
- while the distance between earth 6 months prior and the star makes one side
- and the distance between earth now and the star makes the final side
- the angle formed at the star is 2 theta
what would distance d be in this case
the (horizontal) distance between the sun and the star
using the distance d, what new triangle could be made
- a right angled triangle
- the angle at the star is now just theta
- the distance between the sun and star is d
- the distance between the sun and earth is r
- and the distance between the earth and star makes the hypotenuse
given that you usually only know r and d, what equation wold you use to calculate the parallax angle
- r and d are the opposite and adjacent angles
- so tan0 = r / d
at small angles. what simplified equation could we use to calculate d and why
- rearrange to d = r / tan0
- giving d = r / 0
- because tan0 approximates to just 0 at small angles
what is the definition of a parsec (pc)
- the distance a star must be from the sun
- in order for the right angle earth-star-sun to be 1 arcsecond
what is the full name of a parsec
a parallax second
how do you convert arcseconds to angles
by dividing the arcseconds by 60x60 (3600)
how do you convert angles to arcminutes
by multiplying the angle by 60