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<div class="section" id="module-pNbody.profiles">
<span id="the-profiles-module"></span><h1>the profiles module<a class="headerlink" href="#module-pNbody.profiles" title="Permalink to this headline">¶</a></h1>
<dl class="function">
<dt id="pNbody.profiles.burkert_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">burkert_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.burkert_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Burkert profile
rhob = rho0 / ( ( 1 + r/rs ) * ( 1 + (r/rs)**2 ) )</p>
<ol class="upperalpha simple">
<li>Burkert, Astrophys. J. 447 (1995) L25.</li>
</ol>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.burkert_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">burkert_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.burkert_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>Burkert profile
rhob = rho0 / ( ( 1 + r/rs ) * ( 1 + (r/rs)**2 ) )</p>
<ol class="upperalpha simple">
<li>Burkert, Astrophys. J. 447 (1995) L25.</li>
</ol>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.generic2c_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">generic2c_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>a</em>, <em>b</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.generic2c_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = 1/( (r/rs)**a * (1+r/rs)**(b-a) )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.generic2c_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">generic2c_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>a</em>, <em>b</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.generic2c_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>generic2c profile
rho = 1/( (r/rs)**a * (1+r/rs)**(b-a) )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.hernquist_mR">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">hernquist_mR</tt><big>(</big><em>R</em>, <em>rs</em>, <em>rho0=1</em><big>)</big><a class="headerlink" href="#pNbody.profiles.hernquist_mR" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the projected radius R for the distribution
rho = 1/( (r/rs) * (1+r/rs)**3 )</p>
<p>(Hernquist 90, Eq. 37)</p>
<p>Warning : the function diverges in r=0 and r/rs=1.
Warning : it is badly implemented for arrays</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.hernquist_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">hernquist_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.hernquist_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = 1/( (r/rs) * (1+r/rs)**3 )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.hernquist_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">hernquist_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.hernquist_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>hernquist profile
rho = 1/( (r/rs) * (1+r/rs)**3 )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.jaffe_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">jaffe_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.jaffe_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = 1/( (r/rs)**2 * (1+r/rs)**2 )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.jaffe_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">jaffe_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.jaffe_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>jaffe profile
rho = 1/( (r/rs)**2 * (1+r/rs)**2 )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.king_Rc">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">king_Rc</tt><big>(</big><em>rs</em>, <em>rt</em><big>)</big><a class="headerlink" href="#pNbody.profiles.king_Rc" title="Permalink to this definition">¶</a></dt>
<dd><p>Core radius
Find R such that</p>
<p>Sigma(Rc) = Sigma(0)/2.</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.king_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">king_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rt</em><big>)</big><a class="headerlink" href="#pNbody.profiles.king_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>King profile
(see King 62)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.king_profile_Rz">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">king_profile_Rz</tt><big>(</big><em>R</em>, <em>z</em>, <em>rs</em>, <em>rt</em><big>)</big><a class="headerlink" href="#pNbody.profiles.king_profile_Rz" title="Permalink to this definition">¶</a></dt>
<dd><p>King profile in cyclindrical coord (needed for surface density computation)
(see King 62)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.king_surface_density">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">king_surface_density</tt><big>(</big><em>R</em>, <em>rs</em>, <em>rt</em><big>)</big><a class="headerlink" href="#pNbody.profiles.king_surface_density" title="Permalink to this definition">¶</a></dt>
<dd><p>Surface density of King profile
(see King 62)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.king_surface_density_old">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">king_surface_density_old</tt><big>(</big><em>R</em>, <em>rs</em>, <em>rt</em><big>)</big><a class="headerlink" href="#pNbody.profiles.king_surface_density_old" title="Permalink to this definition">¶</a></dt>
<dd><p>Obsolete implementation</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfw_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfw_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfw_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = rho0/((r/rs)*(1+r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfw_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfw_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfw_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>NFW profile
rho = rho0/((r/rs)*(1+r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfwg_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfwg_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>gamma</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfwg_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = rho0/((r/rs)**(gamma)*(1+(r/rs)**2)**(0.5*(3.-gamma)))</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfwg_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfwg_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>gamma</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfwg_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>NFW modified profile
rho = rho0/((r/rs)**(gamma)*(1+(r/rs)**2)**(0.5*(3.-gamma)))</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfws_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfws_mr</tt><big>(</big><em>r</em>, <em>rhos</em>, <em>rs</em>, <em>r0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfws_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = rhos/((r/rs)*(1+r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.nfws_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">nfws_profile</tt><big>(</big><em>r</em>, <em>rhos</em>, <em>rs</em>, <em>r0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.nfws_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>NFW softened profile
rho = rhos/(((r+r0)/rs)*(1+r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.pisothm_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">pisothm_mr</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.pisothm_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = 1/(1+(r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.pisothm_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">pisothm_profile</tt><big>(</big><em>r</em>, <em>rs</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.pisothm_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>Pseudo-isothermal profile
rho = 1/(1+(r/rs)**2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.plummer_mr">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">plummer_mr</tt><big>(</big><em>r</em>, <em>rc</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.plummer_mr" title="Permalink to this definition">¶</a></dt>
<dd><p>Mass in the radius r for the distribution
rho = 1/(1+(r/rc)**2)**(5/2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.profiles.plummer_profile">
<tt class="descclassname">pNbody.profiles.</tt><tt class="descname">plummer_profile</tt><big>(</big><em>r</em>, <em>rc</em>, <em>rho0=1.0</em><big>)</big><a class="headerlink" href="#pNbody.profiles.plummer_profile" title="Permalink to this definition">¶</a></dt>
<dd><p>Plummer profile
rho = 1/(1+(r/rc)**2)**(5/2)</p>
</dd></dl>
</div>
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