Update cone search notebook (#405)

docs/notebooks/cone_search.ipynb

@@ -17,7 +17,6 @@
    "outputs": [],
    "source": [
     "import hats\n",
-    "import healpy as hp\n",
     "import numpy as np\n",
     "\n",
     "## Fill in these variables with what's relevant in your use case:\n",
@@ -58,16 +57,20 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "## Plot the cone using healpy for demonstration\n",
+    "import astropy.units as u\n",
+    "from astropy.coordinates import SkyCoord\n",
+    "from astropy.visualization.wcsaxes import SphericalCircle\n",
     "\n",
-    "NSIDE = 256\n",
-    "NPIX = hp.nside2npix(NSIDE)\n",
-    "m = np.zeros(NPIX)\n",
-    "center_vec = hp.ang2vec(ra, dec, lonlat=True)\n",
-    "radius_radians = np.radians(radius_degrees)\n",
-    "cone_pixels = hp.query_disc(NSIDE, center_vec, radius_radians)\n",
-    "m[cone_pixels] = 1\n",
-    "hp.mollview(m, title=\"Cone to search\")"
+    "fig, ax = hats.inspection.plot_pixels(catalog)\n",
+    "cone_center = SkyCoord(ra=ra * u.deg, dec=dec * u.deg)\n",
+    "s = SphericalCircle(\n",
+    "    cone_center,\n",
+    "    radius_degrees * u.degree,\n",
+    "    edgecolor=\"purple\",\n",
+    "    facecolor=\"none\",\n",
+    "    transform=ax.get_transform(\"icrs\"),\n",
+    ")\n",
+    "ax.add_patch(s)"
    ]
   },
   {
@@ -86,8 +89,22 @@
   }
  ],
  "metadata": {
+  "kernelspec": {
+   "display_name": "lsdb",
+   "language": "python",
+   "name": "python3"
+  },
   "language_info": {
-   "name": "python"
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.14"
   }
  },
  "nbformat": 4,