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esa · Nov 1, 2023 · 27a6337 · 27a6337
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diff --git a/_sources/utilities/cubes.ipynb b/_sources/utilities/cubes.ipynb
@@ -39,6 +39,7 @@
     "from copy import deepcopy\n",
     "import time\n",
     "from collections import defaultdict\n",
+    "import itertools\n",
     "\n",
     "# sgp4 imports\n",
     "import sgp4\n",
@@ -167,7 +168,8 @@
     "        a list containing lists of satelites idx occupying the same cube\n",
     "    \"\"\"\n",
     "    # init\n",
-    "    retval = []\n",
+    "    in_same_cube = []\n",
+    "    pairs = []\n",
     "    cubes = defaultdict(list)\n",
     "\n",
     "    # We compute the floored Cartesian coordinates identifying the bins.\n",
@@ -180,8 +182,11 @@
     "    # We find bins with more than one object\n",
     "    for key in cubes:\n",
     "        if len(cubes[key]) > 1:\n",
-    "            retval.append(cubes[key])\n",
-    "    return retval"
+    "            in_same_cube.append(cubes[key])\n",
+    "    # We compute all the combinations between the pairs\n",
+    "    for group in in_same_cube:\n",
+    "        pairs.extend(((list(itertools.combinations(group, 2)))))\n",
+    "    return pairs"
    ]
   },
   {
@@ -205,7 +210,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "33.1 ms ± 178 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
+      "28.1 ms ± 4.92 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
      ]
     }
    ],
@@ -277,7 +282,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Time to perform all numerical integrations:  19.566089153289795\n"
+      "Time to perform all numerical integrations:  7.937011003494263\n"
      ]
     }
    ],
@@ -309,19 +314,22 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Collision! pair: [14084, 14352], years: 0.6844626967830253\n",
-      "Collision! pair: [8170, 13942], years: 1.7659137577002053\n",
-      "Collision! pair: [12625, 18100], years: 1.943874058863792\n",
-      "Collision! pair: [13644, 15509], years: 2.6694045174537986\n",
-      "Collision! pair: [13059, 15181], years: 6.1738535249828885\n",
-      "Collision! pair: [13322, 14410], years: 9.267624914442163\n",
-      "Collision! pair: [1012, 11892], years: 10.581793292265571\n",
-      "Collision! pair: [4762, 4984], years: 16.632443531827516\n",
-      "Collision! pair: [1671, 5447], years: 16.79671457905544\n",
-      "Time elasped:  67.86483788490295\n",
-      "Decayed objects:  4990\n",
-      "Number of collisions:  9\n",
-      "Expected number of collisions:  11.538803066221181\n"
+      "Collision! pair: (15977, 16424), years: 0.8213552361396304\n",
+      "Collision! pair: (15935, 16388), years: 1.273100616016427\n",
+      "Collision! pair: (1041, 6320), years: 1.4921286789869952\n",
+      "Collision! pair: (13484, 13591), years: 3.1074606433949348\n",
+      "Collision! pair: (13689, 13950), years: 6.365503080082136\n",
+      "Collision! pair: (14107, 15279), years: 10.704996577686517\n",
+      "Collision! pair: (3897, 15176), years: 11.567419575633128\n",
+      "Collision! pair: (10109, 11757), years: 12.320328542094456\n",
+      "Collision! pair: (12350, 13019), years: 13.566050650239562\n",
+      "Collision! pair: (4910, 12250), years: 14.099931553730322\n",
+      "Collision! pair: (13633, 14012), years: 15.824777549623546\n",
+      "Collision! pair: (2869, 3364), years: 16.892539356605067\n",
+      "Time elasped:  51.43294858932495\n",
+      "Decayed objects:  4992\n",
+      "Number of collisions:  12\n",
+      "Expected number of collisions:  13.336892648579166\n"
      ]
     }
    ],
@@ -338,11 +346,11 @@
     "    undecayed = undecayed - decayed\n",
     "    undecayed_l = np.array([j for j in undecayed])\n",
     "    # We detect all satellites couples in the same cube of Lcube km size\n",
-    "    collision = cubes(r_sgp4[undecayed_l,i,:], cube_dimension = Lcube)\n",
+    "    pairs = cubes(r_sgp4[undecayed_l,i,:], cube_dimension = Lcube)\n",
     "    #kdt = KDTree(r[undecayed_l,i,:])\n",
     "    #collision = list(kdt.query_pairs(Lcube))\n",
     "    #print(collision)\n",
-    "    for pair in collision:\n",
+    "    for pair in pairs:\n",
     "        # we get the indexes in r,v\n",
     "        idx1 = undecayed_l[pair[0]]\n",
     "        idx2 = undecayed_l[pair[1]]\n",
@@ -404,7 +412,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.8 | packaged by conda-forge | (main, Nov 22 2022, 08:26:04) [GCC 10.4.0]"
+   "version": "3.11.6"
   },
   "vscode": {
    "interpreter": {

diff --git a/_static/documentation_options.js b/_static/documentation_options.js
@@ -8,7 +8,7 @@ var DOCUMENTATION_OPTIONS = {
     LINK_SUFFIX: '.html',
     HAS_SOURCE: true,
     SOURCELINK_SUFFIX: '',
-    NAVIGATION_WITH_KEYS: true,
+    NAVIGATION_WITH_KEYS: false,
     SHOW_SEARCH_SUMMARY: true,
     ENABLE_SEARCH_SHORTCUTS: true,
 };
diff --git a/_static/scripts/bootstrap.js b/_static/scripts/bootstrap.js
diff --git a/_static/scripts/bootstrap.js.LICENSE.txt b/_static/scripts/bootstrap.js.LICENSE.txt
@@ -1,5 +1,5 @@
 /*!
-  * Bootstrap v5.2.3 (https://getbootstrap.com/)
-  * Copyright 2011-2022 The Bootstrap Authors (https://github.com/twbs/bootstrap/graphs/contributors)
+  * Bootstrap v5.3.2 (https://getbootstrap.com/)
+  * Copyright 2011-2023 The Bootstrap Authors (https://github.com/twbs/bootstrap/graphs/contributors)
   * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)
   */
diff --git a/_static/scripts/bootstrap.js.map b/_static/scripts/bootstrap.js.map
diff --git a/_static/scripts/pydata-sphinx-theme.js b/_static/scripts/pydata-sphinx-theme.js
diff --git a/_static/scripts/pydata-sphinx-theme.js.map b/_static/scripts/pydata-sphinx-theme.js.map
diff --git a/_static/styles/bootstrap.css b/_static/styles/bootstrap.css
diff --git a/_static/styles/bootstrap.css.map b/_static/styles/bootstrap.css.map
diff --git a/_static/styles/pydata-sphinx-theme.css b/_static/styles/pydata-sphinx-theme.css
diff --git a/_static/styles/pydata-sphinx-theme.css.map b/_static/styles/pydata-sphinx-theme.css.map
diff --git a/_static/webpack-macros.html b/_static/webpack-macros.html
@@ -4,28 +4,28 @@
 -->
 {# Load FontAwesome icons #}
 {% macro head_pre_icons() %}
-  <link href="{{ pathto('_static/vendor/fontawesome/6.1.2/css/all.min.css', 1) }}?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="{{ pathto('_static/vendor/fontawesome/6.1.2/css/all.min.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2', 1) }}" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2', 1) }}" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2', 1) }}" />
 {% endmacro %}
 
 {% macro head_pre_assets() %}
   <!-- Loaded before other Sphinx assets -->
-  <link href="{{ pathto('_static/styles/theme.css', 1) }}?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="{{ pathto('_static/styles/bootstrap.css', 1) }}?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="{{ pathto('_static/styles/pydata-sphinx-theme.css', 1) }}?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="{{ pathto('_static/styles/theme.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="{{ pathto('_static/styles/bootstrap.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="{{ pathto('_static/styles/pydata-sphinx-theme.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
 {% endmacro %}
 
 {% macro head_js_preload() %}
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=ac02cc09edc035673794" />
-<link rel="preload" as="script" href="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=ac02cc09edc035673794" />
-  <script src="{{ pathto('_static/vendor/fontawesome/6.1.2/js/all.min.js', 1) }}?digest=ac02cc09edc035673794"></script>
+  <link rel="preload" as="script" href="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=365ca57ee442770a23c6" />
+<link rel="preload" as="script" href="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=365ca57ee442770a23c6" />
+  <script src="{{ pathto('_static/vendor/fontawesome/6.1.2/js/all.min.js', 1) }}?digest=365ca57ee442770a23c6"></script>
 {% endmacro %}
 
 {% macro body_post() %}
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=ac02cc09edc035673794"></script>
-<script src="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=ac02cc09edc035673794"></script>
+  <script src="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=365ca57ee442770a23c6"></script>
+<script src="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=365ca57ee442770a23c6"></script>
 {% endmacro %}
diff --git a/api_reference.html b/api_reference.html
@@ -19,12 +19,12 @@
   </script>
 
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
 
 
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
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@@ -35,9 +35,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css" />
 
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=ac02cc09edc035673794" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=ac02cc09edc035673794" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=ac02cc09edc035673794"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -131,13 +131,14 @@
 
 
 
+
 
 
 
 
 
-    <img src="_static/logo.png" class="logo__image only-light" alt="Logo image"/>
-    <script>document.write(`<img src="_static/logo.png" class="logo__image only-dark" alt="Logo image"/>`);</script>
+    <img src="_static/logo.png" class="logo__image only-light" alt="cascade 0.1.7 documentation - Home"/>
+    <script>document.write(`<img src="_static/logo.png" class="logo__image only-dark" alt="cascade 0.1.7 documentation - Home"/>`);</script>
 
 
 </a></div>
@@ -401,7 +402,7 @@ <h1>API reference</h1>
 <dd class="field-odd"><p>0.1.7</p>
 </dd>
 <dt class="field-even">Date<span class="colon">:</span></dt>
-<dd class="field-even"><p>Oct 07, 2023</p>
+<dd class="field-even"><p>Nov 01, 2023</p>
 </dd>
 </dl>
 <div class="toctree-wrapper compound">
@@ -490,8 +491,8 @@ <h1>API reference</h1>
   </div>
 
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=ac02cc09edc035673794"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=ac02cc09edc035673794"></script>
+  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
 
   <footer class="bd-footer">
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diff --git a/collision_algorithm.html b/collision_algorithm.html
@@ -19,12 +19,12 @@
   </script>
 
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-  <link href="_static/styles/theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
 
 
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -35,9 +35,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css" />
 
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=ac02cc09edc035673794" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=ac02cc09edc035673794" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=ac02cc09edc035673794"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
 
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     <script src="_static/jquery.js"></script>
@@ -133,13 +133,14 @@
 
 
 
+
 
 
 
 
 
-    <img src="_static/logo.png" class="logo__image only-light" alt="Logo image"/>
-    <script>document.write(`<img src="_static/logo.png" class="logo__image only-dark" alt="Logo image"/>`);</script>
+    <img src="_static/logo.png" class="logo__image only-light" alt="cascade 0.1.7 documentation - Home"/>
+    <script>document.write(`<img src="_static/logo.png" class="logo__image only-dark" alt="cascade 0.1.7 documentation - Home"/>`);</script>
 
 
 </a></div>
@@ -580,8 +581,8 @@ <h1>Parallelism<a class="headerlink" href="#parallelism" title="Permalink to thi
   </div>
 
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=ac02cc09edc035673794"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=ac02cc09edc035673794"></script>
+  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
 
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diff --git a/examples/20yearsofLEO_coll.html b/examples/20yearsofLEO_coll.html
@@ -19,12 +19,12 @@
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-  <link href="../_static/styles/theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="../_static/styles/bootstrap.css?digest=ac02cc09edc035673794" rel="stylesheet" />
-<link href="../_static/styles/pydata-sphinx-theme.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="../_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="../_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+<link href="../_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
 
 
-  <link href="../_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=ac02cc09edc035673794" rel="stylesheet" />
+  <link href="../_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="../_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -35,9 +35,9 @@
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-  <script src="../_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=ac02cc09edc035673794"></script>
+  <link rel="preload" as="script" href="../_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
+<link rel="preload" as="script" href="../_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
+  <script src="../_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
 
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     <script src="../_static/jquery.js"></script>
@@ -133,13 +133,14 @@
 
 
 
+
 
 
 
 
 
-    <img src="../_static/logo.png" class="logo__image only-light" alt="Logo image"/>
-    <script>document.write(`<img src="../_static/logo.png" class="logo__image only-dark" alt="Logo image"/>`);</script>
+    <img src="../_static/logo.png" class="logo__image only-light" alt="cascade 0.1.7 documentation - Home"/>
+    <script>document.write(`<img src="../_static/logo.png" class="logo__image only-dark" alt="cascade 0.1.7 documentation - Home"/>`);</script>
 
 
 </a></div>
@@ -888,8 +889,8 @@ <h2>Running the simulation<a class="headerlink" href="#running-the-simulation" t
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