typos

Chelyabinsk.ipynb

@@ -212,7 +212,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "We will second order variational equations to estimate the error on the pre-impact orbit. Because we have three uncertain meassurements (velocity and radiant direction) we need to setup 3 sets of first order variational equations. The uncertainties are large, thus we require second order variational equations as well. These are another three sets of equations. "
+    "We will use second order variational equations to estimate the errors on the pre-impact orbit. Because we have three uncertain meassurements (the velocity and radiant direction) we need to setup three sets of first order variational equations. The uncertainties are large, thus we require second order variational equations as well. These are another three sets of variational equations (6 in total). "
    ]
   },
   {
@@ -255,7 +255,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "We can now finally integrate the system backwards in time for 60 days. This brings the meteor well out of the Earth's potential well. After the integration, we rotate the coordinate system to bring it into the ecliptic (Solar System orbits are typicall given with respect to the ecliptic)."
+    "We can now finally integrate the system backwards in time for 60 days. This brings the meteor well out of the Earth's potential well. After the integration, we rotate the coordinate system to bring it into the ecliptic (Solar System orbits are typically given with respect to the ecliptic)."
    ]
   },
   {