I Is this the correct representation for showing the direction of a star on CMD?

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The discussion focuses on the effects of extinction on the Color-Magnitude Diagram (CMD) for NGC 5139, specifically how to represent a star's movement with an arrow for Av = 1.0. Participants express confusion about the correct direction of the arrow, noting that extinction causes stars to shift upwards (dimmer) and to the right (redder) on the CMD. The importance of using the dust law R_V, typically around 3, is highlighted for calculating changes in color and magnitude. Questions arise regarding the initial and final coordinates for B-V and m_V, emphasizing the need to account for intrinsic values and the effects of reddening and dimming. Overall, the discussion underscores the complexities of accurately depicting star positions on the CMD due to extinction effects.
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Homework Statement: Effects of extinction in the Colour- Magnitude Diagram (CMD) of NGC 5139;
Since extinction affects the position of a star on both the x-axis and y-axis, then draw an arrow that shows the direction a star moves on the CMD for Av = 1.0
Relevant Equations: No equations are needed for this

IMG-20241201-WA0000.jpg

Is the red arrow marking the star's direction correctly for Av = 1 magnitude? Im a little confused with this, also is there any other points we could keep in mind while doing such problems?
Thank you
 
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= (reddening, dimming)
= (##\Delta(B-V)##, ##\Delta m_V##)
= (##A_V/R_V##, ##A_V##)
= (##1/R_V##, ##1##)

If you want the slope you need the dust law ##R_V##
You can use a local R_V ~ 3
 
ergospherical said:
= (reddening, dimming)
= (##\Delta(B-V)##, ##\Delta m_V##)
= (##A_V/R_V##, ##A_V##)
= (##1/R_V##, ##1##)

If you want the slope you need the dust law ##R_V##
You can use a local R_V ~ 3
What would the coordinates be for the initial and final positions of B-V and mv?
I know that initial position of B-V is 0.333 but how would I find its final position since I do not know what (B-V)not is. Also as -1 is not on the scale of mv how would I choose the coordinates for mv?
 
The start coordinates whatever are the intrinsic color and magnitude of the star. When we see the star from Earth, we get reddening and dimming effects due to the dust. The position of the star on the CMD appears to shift by the vector (##\Delta##color, ##\Delta##magnitude).
 
ergospherical said:
The start coordinates whatever are the intrinsic color and magnitude of the star. When we see the star from Earth, we get reddening and dimming effects due to the dust. The position of the star on the CMD appears to shift by the vector (##\Delta##color, ##\Delta##magnitude).
So my arrow marking location would be an appropriate representation of the direction since the star does travel upwards as it gets dimmer and towards the right as it gets redder?
 
An oddity of astronomy is that dimmer ==> larger m_V.
It's because m_V := C - 2.5 log (F),
(F being observed flux)

So you need to be careful to figure out which way the star goes. It doesn't help that astronomers like to write the scales upside down either
 
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