Lecture 12
The Distances of Stars
Key Concepts:
- How do astronomers measure distances to stars?
- What is parallax?
- What is inverse square law? luminosity? and standard candle?
- What is the magnitude system?
Measuring Distance through Stellar Parallax
- Perspective and parallax
- Triangulation: measuring distances using geometry
- Astronomical Parallax:
- a method of triangulation for measuring distance to nearby stars
- arcsec = 1/60 of arcmin, which is 1/60 of a degree of arc
- if A = 1 AU, B (distance) is inversely proportional to angle p
if the angle in radian is much smaller than 1.
- parsec (pc) = distance corresponding to a parallax of 1 arcsec.
1 pc is about 3.3 light year or 3 x 1013 km.
Inverse Square Law and Luminosity
- luminosity = total amount of power radiated into space per unit time
- inverse square law = a relationship between luminosity, distance, and apparent brightness
- "a light appears brighter as you approach the light"
- the same number of photons leave the star
- a spherical shell surrounding the star increases its area as
distance squared
- apparent brightness (number of photons per unit area)
decreases as distance squared
The Magnitude System
- a logarithmic system of describing stellar brightness
- 1 magnitude = (100)1/5 = a factor of 2.512
- the brightest stars are 1st magnitude, the next brightest stars are 2nd magnitude, and so on. A larger magnitude means fainter -- see
an example below of Ursa Major
- apparent magnitude: how bright different stars appear in the sky
- absolute magnitude: a measure of stellar luminosity (a star's apparent magnitude if it were at a distance of 10 parsecs away)
Measuring Distances using Standard Candle
- seeing how bright the light is, you can figure out how far the house is
- if you know L, you can measure B and determine distance, d
- "standard candle" = any object of known luminosity that can be
used to determine distances (e.g. stars of known mass and luminosity)
Reading assignment for next lecture: Chapter 16 (p.522-p.540)