Fixed latex backslash brackets

Author: Vanessa McBride

Teaching Materials/Data Wrangling/Examples/Exoplanets_sort_and_plot/Exoplanets_sort_and_plot.ipynb

@@ -570,20 +570,20 @@
     "\n",
     "The High Accuracy Radial Velocity Planet Searcher (<a href=\"http://www.eso.org/sci/facilities/lasilla/instruments/harps.html\">HARPS</a>) has found over one thousand exoplanets using the radial velocity search method. It has an accuracy of 1 m/s in radial velocity. \n",
     "\n",
-    "How does this translate into limits on the masses and orbits of planets you can detect with HARPS orbiting a $1 M_\\odot$ star?\n",
+    "How does this translate into limits on the masses and orbits of planets you can detect with HARPS orbiting a \\(1 M_\\odot\\) star?\n",
     "\n",
     "---\n",
     "From our lecture notes, we express Kepler's equation for the star-planet system as follows:\n",
     "$$\n",
     "v_* \\sin i = 28.4\\left(\\frac{P}{1\\mathrm{yr}}\\right)^{-1/3}\\left(\\frac{M_p\\sin i}{M_J}\\right)\\left(\\frac{M_*}{M_\\odot}\\right)^{-2/3}\\mathrm{ms}^{-1}\n",
     "$$\n",
-    "where $v_*$ is the velocity of the star, $P$ is the orbital period of the planet around the star (in years), $M_J$ is the mass of Jupiter, $M_*$ is the mass of the parent star in $M_\\odot$. \n",
+    "where \\(v_*\\) is the velocity of the star, $P$ is the orbital period of the planet around the star (in years), $M_J$ is the mass of Jupiter, $M_*$ is the mass of the parent star in $M_\\odot$. \n",
     "\n",
     "Using $M_* = 1 M_\\odot$, and Kepler's harmonic law $P^2 = a^3$ (remember, this works in this specific choice of units), we can rewrite the equation above as:\n",
     "\n",
-    "\\begin{equation}\n",
+    "$$\n",
     "\\frac{M_p\\sin i}{M_J} = \\frac{v_*\\sin i}{28.4\\,\\mathrm{m/s}}\\left(\\frac{a}{\\mathrm{AU}}\\right)^2\n",
-    "\\end{equation}\n",
+    "$$\n",
     "\n",
     "With HARPS's accuracy of 1 m/s, we'd probably believe a planetary detection if it had a radial velocity greater than 3 m/s, so for this case we set $v_*\\sin i$ = 3 m/s. We now plot this as the pink line on the graph below:"
    ]