Reading my first Astrophys paper

In summary, the conversation discusses a paper on a model for micrometeorites entering the atmosphere. The author is having trouble understanding the term "a v^-5,394 velocity distribution" and is seeking clarification. It is explained that this refers to the steep drop in velocity as shown in the plot of v^{-5394}. The author then asks for assistance in creating a matrix, but it is clarified that the term actually refers to a probability density function and a normalization constant would be needed for plotting. The conversation ends with the question of whether a matrix is needed for another purpose.
  • #1
ZachWeiner
6
0
I'm getting a little stuck on terminology, but most of it can be looked up in wikipedia. However, there's one term I'm having trouble with.

The paper is for a model of micrometeorites entering the atmosphere. It says:

"Entry velocities ranged between 11.2 and 72 km/sec following a v^-5,394 velocity distribution,"


What is a "a v^-5,394 velocity distribution" ?
 
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  • #2
That just means that the distribution of micrometeorite velocities between 11.2 and 72 km/s looks like the plot of v^{-5394}.

i.e. - it falls off really steeply as velocity increases.
 
  • #3
Okay, that makes sense. Any idea how I could convince MatLab to make such a matrix for me :)
 
  • #4
Ah, what they're describing in the paper isn't a matrix, it's best viewed as a probability density function.

If you wanted to display it as a probability distribution, you would just plot v^{-5394}, but would need to multiply it by a normalization constant. That constant (using latex formating) will be 1 / (\int_11.2^72 v^{-5394}). That is to say, 1 over the integral of v^{-5394} from 11.2 km/s to 72 km/s.

Do you need a matrix for some other reason?
 

1. What is the purpose of reading my first Astrophys paper?

The purpose of reading your first Astrophys paper is to gain a deeper understanding of the field of astrophysics and to familiarize yourself with the language and methodologies used in scientific research.

2. How do I choose which Astrophys paper to read?

You can choose an Astrophys paper based on your interests and the specific topic you want to learn more about. It's also helpful to consult with a mentor or advisor for recommendations.

3. How should I approach reading an Astrophys paper?

Start by reading the abstract and introduction to get an overview of the paper. Then, focus on the methods and results sections to understand the experiments and findings. Finally, read the discussion and conclusion to understand the implications of the research.

4. What are some common challenges when reading an Astrophys paper?

Some common challenges when reading an Astrophys paper include understanding complex equations and terminology, interpreting data and graphs, and identifying the main points and conclusions of the study.

5. How can I make the most out of reading my first Astrophys paper?

To make the most out of reading your first Astrophys paper, take notes, ask questions, and discuss the paper with others. It can also be helpful to read other related papers and to revisit the paper multiple times to deepen your understanding.

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