1Stellar mass
determines color, temperature, luminosity, motion, size, life span, evolution and death
2Why are distances important?
luminosity can be deceiving, the size of an object can be the size of a solar system or be light years across, without knowing this we can’t determine speeds, mass
3Without knowing distances
can’t determine speeds, mass of stars or galaxies, distribution of stars, star clusters, galaxies and nebulae giving us a 3D model of universe
4Determining mass of a star
Astronomers need to be able to measure the size of the orbit (a) and circular velocity (p) of the stars
5Friedrich Wilhelm Bessel
The first astronomer to use trigonometric parallax to determine the distance to a star
6Trigonometric Parallax
uses the apparent movement of an observed object due to the change in the position of the observer, using distance from earth and appearance of foreground star at different times/positions of earth
7How trig parallax works
Nearby stars, or planets, appear to shift back and forth with respect to background stars, due to the motion of the Earth around the sun
8Parallax angle
size of the apparent shift
9How to measure parallax angle
One arc minute in one degree, 60 arc seconds in one arc minute, 1 degree=60’=3,600”
10Parsec
parallax second, With a baseline of one AU (93 million miles), a star with a parallax angle of 1 arc second (1”) would be 1 parsec or 3.26 light years away
11Parallax formula
distance=1/parallax angle (in arc seconds), if you use arc seconds for the parallax angle, the distance unit will be the parsec. D=1/p
12Proxima Centauri
closest star with largest parallax
13Gaia spacecraft
Most recent method used to measure parallax angles
14ground based telescopes
can measure parallax angles to determine distances to stars around 100 pc away
15Hipparchus spacecraft
could measure parallel angles to determine distances to stars about 1k pc away
16Gaia spacecraft
can measure parallax angles to determine distances to stars about 10k pc away
17Luminosity
How bright an object really is, how much light energy is being radiated, distance independent, radius and temperature
18Apparent magnitude
How bright an object appears from Earth, based on the object’s luminosity and distance
19Absolute magnitude
An object’s apparent magnitude at a distance of 10 pc (32.6 light year), inverse square law of brightness B= 1/d^2
20Photometry
The process used by astronomers to measure the magnitudes, brightness, of stars and other celestial objects
21Visual photometry
use your eyes to compare the magnitude of one star to another
22Photographic photometry
Photographic plates (glass), approximately .001% of the star’s light is recorded
23Digital photometry
the most accurate, and current, type of photometry uses charge-coupled devices, CCDs. Capable of gathering approximately 98% of the star’s light
24Hipparchus
First magnitude scale (20 brightest stars) second to sixth magnitude (limit normal seeing)
25Modern magnitude scale
Difference in 1 magnitude: 2.512x (to the power of the next magnitude, so 2 would be 2.512^2). Difference is 2.512. the smaller the number the brighter it is
26magnitude differences
1=2.512x, 2=6.3x, 3=16x, 4=40x, 5=100x
27distance modulus
c)=10^((m-M+5)/5) with D(pc)=distance in parsecs, m=apparent magnitude and M=absolute magnitude