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diff --git a/_images/ggrad1.svg b/_images/ggrad1.svg
diff --git a/_images/ggrad2.svg b/_images/ggrad2.svg
diff --git a/_images/ggrad3.svg b/_images/ggrad3.svg
diff --git a/_sources/changelog.rst b/_sources/changelog.rst
@@ -9,6 +9,8 @@ Changelog
 New
 ~~~
 
+- Add new example on gravity-gradient stabilisation
+  (`#159 <https://github.com/bluescarni/heyoka.py/pull/159>`__).
 - Add support for Lagrangian and Hamiltonian mechanics
   (`#156 <https://github.com/bluescarni/heyoka.py/pull/156>`__).
 - It is now possible to pass a list of step callbacks to the

diff --git a/_sources/examples_astro.rst b/_sources/examples_astro.rst
@@ -42,3 +42,4 @@ Celestial mechanics and astrodynamics
   notebooks/elp2000
   notebooks/tides_spokes
   notebooks/lagrangian_propagator
+  notebooks/gg_stab
diff --git a/_sources/notebooks/gg_stab.ipynb b/_sources/notebooks/gg_stab.ipynb
diff --git a/acknowledgement.html b/acknowledgement.html
@@ -215,6 +215,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/advanced_tutorials.html b/advanced_tutorials.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/api_exsys.html b/api_exsys.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/api_integrators.html b/api_integrators.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/api_lagham.html b/api_lagham.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/autosummary_generated/heyoka.expression.html b/autosummary_generated/heyoka.expression.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="../examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/autosummary_generated/heyoka.hamiltonian.html b/autosummary_generated/heyoka.hamiltonian.html
@@ -212,6 +212,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="../examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/autosummary_generated/heyoka.lagrangian.html b/autosummary_generated/heyoka.lagrangian.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="../examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/autosummary_generated/heyoka.taylor_adaptive.html b/autosummary_generated/heyoka.taylor_adaptive.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="../examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/basic_tutorials.html b/basic_tutorials.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/benchmarks.html b/benchmarks.html
@@ -215,6 +215,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/breaking_changes.html b/breaking_changes.html
@@ -215,6 +215,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/changelog.html b/changelog.html
@@ -217,6 +217,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>
@@ -608,6 +609,8 @@ <h2>4.0.0 (unreleased)<a class="headerlink" href="#unreleased" title="Link to th
 <section id="new">
 <h3>New<a class="headerlink" href="#new" title="Link to this heading">#</a></h3>
 <ul class="simple">
+<li><p>Add new example on gravity-gradient stabilisation
+(<a class="reference external" href="https://github.com/bluescarni/heyoka.py/pull/159">#159</a>).</p></li>
 <li><p>Add support for Lagrangian and Hamiltonian mechanics
 (<a class="reference external" href="https://github.com/bluescarni/heyoka.py/pull/156">#156</a>).</p></li>
 <li><p>It is now possible to pass a list of step callbacks to the

diff --git a/examples_astro.html b/examples_astro.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>
@@ -489,6 +490,7 @@ <h1>Celestial mechanics and astrodynamics</h1>
 <li class="toctree-l1"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l1"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l1"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l1"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </div>
 </section>

diff --git a/examples_event.html b/examples_event.html
@@ -45,7 +45,7 @@
     <link rel="index" title="Index" href="genindex.html" />
     <link rel="search" title="Search" href="search.html" />
     <link rel="next" title="Sampling events" href="notebooks/Sampling%20events.html" />
-    <link rel="prev" title="Lagrange propagation and the state transition matrix" href="notebooks/lagrangian_propagator.html" />
+    <link rel="prev" title="Gravity-gradient stabilization" href="notebooks/gg_stab.html" />
   <meta name="viewport" content="width=device-width, initial-scale=1"/>
   <meta name="docsearch:language" content="en"/>
   </head>
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 current active has-children"><a class="current reference internal" href="#">Event detection</a><input checked="" class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>
@@ -497,12 +498,12 @@ <h1>Event detection</h1>
 
 <div class="prev-next-area">
     <a class="left-prev"
-       href="notebooks/lagrangian_propagator.html"
+       href="notebooks/gg_stab.html"
        title="previous page">
       <i class="fa-solid fa-angle-left"></i>
       <div class="prev-next-info">
         <p class="prev-next-subtitle">previous</p>
-        <p class="prev-next-title">Lagrange propagation and the state transition matrix</p>
+        <p class="prev-next-title">Gravity-gradient stabilization</p>
       </div>
     </a>
     <a class="right-next"

diff --git a/examples_ml.html b/examples_ml.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/examples_others.html b/examples_others.html
@@ -213,6 +213,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>

diff --git a/genindex.html b/genindex.html
@@ -212,6 +212,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/elp2000.html">Introduction to the ELP2000 lunar theory</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/tides_spokes.html">Elastic tides</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/lagrangian_propagator.html">Lagrange propagation and the state transition matrix</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/gg_stab.html">Gravity-gradient stabilization</a></li>
 </ul>
 </li>
 <li class="toctree-l1 has-children"><a class="reference internal" href="examples_event.html">Event detection</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>