diff --git a/doc/RTD/source/ParameterFiles/index.rst b/doc/RTD/source/ParameterFiles/index.rst
index 3d865dac22f3a2083a3627c2ae3813dec0490ff5..ec5ce1ab41197b6ca6fa5da2cbde7666383f82e9 100644
--- a/doc/RTD/source/ParameterFiles/index.rst
+++ b/doc/RTD/source/ParameterFiles/index.rst
@@ -191,9 +191,9 @@ Physical Constants
 ------------------
 
 For some idealised test it can be useful to overwrite the value of
-some physical constants. In particular the value of the gravitational
+some physical constants; in particular the value of the gravitational
 constant. SWIFT offers an optional parameter to overwrite the value of
-that constant.
+:math:`G_N`. 
 
 .. code:: YAML
 
@@ -206,7 +206,8 @@ Mpc, km/s) will mean that :math:`G_N=1` in these units [#f2]_ instead of the
 normal value :math:`G_N=43.00927`.
 
 This option is only used for specific tests and debugging. This entire
-section of the YAML file can typically be left out.
+section of the YAML file can typically be left out. More constants may
+be handled in the same way in future versions.
 
 Snapshots
 ---------
@@ -225,6 +226,85 @@ Statistics
 Restarts
 --------
 
+SWIFT can write check-pointing files and restart from them. The behaviour of
+this mechanism is driven by the options int he `Restarts` section of the YAML
+parameter file. All the parameters are optional but default to values that
+ensure a reasonable behaviour. 
+
+* Wether or not to enable the dump of restart files: ``enable`` (default:
+  ``1``).
+
+This parameter acts a master-switch for the check-pointing capabilities. All the
+other options require the ``enable`` parameter to be set to ``1``.
+  
+* Wether or not to save a copy of the previous set of check-pointing files:
+  ``save`` (default: ``1``),
+* Wether or not to dump a set of restart file on regular exit: ``onexit``
+  (default: ``0``),
+* The wall-clock time in hours between two sets of restart files:
+  ``delta_hours`` (default: ``6.0``).
+  
+Note that there is no buffer time added to the ``delta_hours`` value. If the
+system's batch queue run time limit is set to 6 hours, the user must specify a
+smaller value to allow for enough time to safely dump the check-point files.
+
+* The sub-directory in which to store the restart files: ``subdir`` (default:
+  ``restart``),
+* The basename of the restart files: ``basename`` (default: ``swift``)
+
+If the directory does not exist, SWIFT will create it.  When resuming a run,
+SWIFT, will look for files with the name provided in the sub-directory specified
+here. The files themselves are named ``basename_000001.rst`` where the basenme
+is replaced by the user-specified name and the 6-digits number corresponds to
+the MPI-rank. SWIFT writes one file per MPI rank. If the ``save`` option has
+been activated, the previous set of restart files will be named
+``basename_000000.rst.prev``.
+
+SWIFT can also be stopped by creating an empty file called ``stop`` in the
+directory where the code runs. This will make SWIFT dump a fresh set of restart
+file (irrespective of the specified ``delta_time`` between dumps) and exit
+cleanly. One parameter governs this behaviour:
+
+* Number of steps between two checks for the presence of a ``stop`` file:
+  ``stop_steps`` (default: ``100``).
+
+The default value is chosen such that SWIFT does not need to poll the
+file-system to often, which can take a significant amount of time on distributed
+systems. For runs where the small time-steps take a much larger amount of time,
+a smaller value is recommended to allow for a finer control over when the code
+can be stopped.
+
+Finally, SWIFT can automatically stop after a specified amount of wall-clock
+time. The code can also run a command when exiting in this fashion, which can be
+used, for instance, to interact with the batch queue system:
+
+* Maximal wall-clock run time in hours: ``max_run_time`` (default: ``24.0``),
+* Whether or not to run a command on exit: ``resubmit_on_exit`` (default:
+  ``0``),
+* The command to run on exit: ``resubmit_command`` (default: ``./resub.sh``).
+
+Note that no check is performed on the validity of the command to run. SWIFT
+simply calls ``system()`` with the user-specified command.
+
+To run SWIFT, dumping check-pointing files every 6 hours and running for 24
+hours after which a shell command will be run, one would use:
+
+.. code:: YAML
+	  
+  Restarts:
+    enable:             1          
+    save:               1          # Keep copies
+    onexit:             0          
+    subdir:             restart    # Sub-directory of the directory where SWIFT is run
+    basename:           swift      
+    delta_hours:        6.0        
+    stop_steps:         100        
+    max_run_time:       24.0       # In hours 
+    resubmit_on_exit:   1          
+    resubmit_command:   ./resub.sh 
+
+
+
 Scheduler
 ---------