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Old Nov 23rd 2016, 09:19 AM   #1
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Problem in Mathematica

Hello to all. This is my first post in this forum

I've been trying to plot some graphs on Mathematica but I have faced some troubles so far.

I am working on this paper by Lattimer on binary systems:

https://arxiv.org/abs/astro-ph/0002203

I am trying to reproduce Figure 11 but something seems to go wrong.

Here's what I have done so far:

we set
q=$\frac{m_{ns}}{M_{bh}}$ the ratio of the neutron star mass and the black hole mass.

then we set the radius

$\frac{R_{l}}{a} = 0.46\bigg(\frac{q}{1+q}\bigg)^{1/3} $ with a being the semi major axis that follows

$a<2.8 \bigg[ \frac{M_1 M_2 (M_1+M_2)}{〖M^3_ {\odot}〗} \bigg]^{\frac{1}{4}} R_{\odot}$

The first thing to plot is the neutron star radius versus the neutron star mass.

Then we must plot
$\frac{d \ln{R}}{d \ln{m_{ns}}} $ ( which derivative simply leads to $\frac{m_{ns}}{R} \frac{dR}{dm_{ns}}$) versus the neutron star mass $m_{ns}$


I've been trying to plot these functions for days but what I get is far from the desired results....

Any help would be very appreciated
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Old Nov 23rd 2016, 12:32 PM   #2
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Originally Posted by stellaphysics View Post
Hello to all. This is my first post in this forum

I've been trying to plot some graphs on Mathematica but I have faced some troubles so far.

I am working on this paper by Lattimer on binary systems:

https://arxiv.org/abs/astro-ph/0002203

I am trying to reproduce Figure 11 but something seems to go wrong.

Here's what I have done so far:

we set
q=$\frac{m_{ns}}{M_{bh}}$ the ratio of the neutron star mass and the black hole mass.

then we set the radius

$\frac{R_{l}}{a} = 0.46\bigg(\frac{q}{1+q}\bigg)^{1/3} $ with a being the semi major axis that follows

$a<2.8 \bigg[ \frac{M_1 M_2 (M_1+M_2)}{〖M^3_ {\odot}〗} \bigg]^{\frac{1}{4}} R_{\odot}$

The first thing to plot is the neutron star radius versus the neutron star mass.

Then we must plot
$\frac{d \ln{R}}{d \ln{m_{ns}}} $ ( which derivative simply leads to $\frac{m_{ns}}{R} \frac{dR}{dm_{ns}}$) versus the neutron star mass $m_{ns}$


I've been trying to plot these functions for days but what I get is far from the desired results....

Any help would be very appreciated
I am unable to find a way to view the paper? I don't think we can answer this without seeing the plot.

-Dan
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Old Nov 23rd 2016, 12:43 PM   #3
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Originally Posted by topsquark View Post
I am unable to find a way to view the paper? I don't think we can answer this without seeing the plot.

-Dan
yeah for some reason this link doesn't work anymore....
Here's another form that I uploaded.

Pdf page 22 Fig.11
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