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<div class="section" id="module-pNbody.libmiyamoto">
<span id="the-libmiyamoto-module"></span><h1>the libmiyamoto module<a class="headerlink" href="#module-pNbody.libmiyamoto" title="Permalink to this headline"></a></h1>
<dl class="function">
<dt id="pNbody.libmiyamoto.Density">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Density</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Density" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Density</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Kappa">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Kappa</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Kappa" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Kappa</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Omega">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Omega</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Omega" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Omega</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Potential">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Potential</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Potential" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Potential</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Sigma_t">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Sigma_t</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Sigma_t" title="Permalink to this definition"></a></dt>
<dd><p>Return sigma_z from Jeans equation : 1/rho Int( rho * dzPhi * dz )</p>
<p>sigma_t^2 = R*d/dr(Phi) + R/rho*d/dr(rho*sigma_z^2)</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Sigma_z">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Sigma_z</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Sigma_z" title="Permalink to this definition"></a></dt>
<dd><p>Return sigma_z from Jeans equation : 1/rho Int( rho * dzPhi * dz )</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Sigma_zbis">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Sigma_zbis</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Sigma_zbis" title="Permalink to this definition"></a></dt>
<dd><p>Same than Sigma_z, but optimized</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.SurfaceDensity">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">SurfaceDensity</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.SurfaceDensity" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Surface density</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.Vcirc">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">Vcirc</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.Vcirc" title="Permalink to this definition"></a></dt>
<dd><p>Miyamoto-Nagai Circular velocity</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.d2R_Potential">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">d2R_Potential</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.d2R_Potential" title="Permalink to this definition"></a></dt>
<dd><p>second derivative in R</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.d2z_Potential">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">d2z_Potential</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.d2z_Potential" title="Permalink to this definition"></a></dt>
<dd><p>second derivative in R</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.dR_Potential">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">dR_Potential</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.dR_Potential" title="Permalink to this definition"></a></dt>
<dd><p>first derivative in R</p>
</dd></dl>
<dl class="function">
<dt id="pNbody.libmiyamoto.dz_Potential">
<tt class="descclassname">pNbody.libmiyamoto.</tt><tt class="descname">dz_Potential</tt><big>(</big><em>G</em>, <em>M</em>, <em>a</em>, <em>b</em>, <em>R</em>, <em>z</em><big>)</big><a class="headerlink" href="#pNbody.libmiyamoto.dz_Potential" title="Permalink to this definition"></a></dt>
<dd><p>first derivative in R</p>
</dd></dl>
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