diff --git a/main_concurrent.py b/concurrent_steps.py
similarity index 91%
rename from main_concurrent.py
rename to concurrent_steps.py
index ec93d96..9faa4a9 100755
--- a/main_concurrent.py
+++ b/concurrent_steps.py
@@ -36,6 +36,7 @@ def main():
     display = True
     gif = False
     savename = "{0:d}bodies_psi45_{1:s}".format(n_bodies, integrator)
+    display_param = True
 
     bodies, bodysyst = [],[]
     for j in range(n_bodies):
@@ -55,15 +56,16 @@ def main():
         elif integrator.lower() in ['hermite','herm']:
             future_ELae.append(exe.submit(hermite, bodysyst[i][1], bodysyst[i][0], duration, step0, recover_param=True, display=display, savename=savename, gif=gif))
     
-    E, L, sma, ecc = [], [], [], []
+    E, L, sma, ecc, phi = [], [], [], [], []
     for future in future_ELae:
-        E0, L0, sma0, ecc0 = future.result()
+        E0, L0, sma0, ecc0, phi0 = future.result()
         E.append(E0)
         L.append(L0)
         sma.append(sma0)
         ecc.append(ecc0)
+        phi.append(phi0)
     parameters = [duration, step, dyn_syst, integrator]
-    display_parameters(E, L, sma, ecc, parameters=parameters, savename=savename)
+    display_parameters(E, L, sma, ecc, phi, parameters=parameters, savename=savename, display_param=display_param)
     return 0
 
 if __name__ == '__main__':
diff --git a/lib/LeapFrog.py b/lib/LeapFrog.py
index 98b10ab..fb6570f 100644
--- a/lib/LeapFrog.py
+++ b/lib/LeapFrog.py
@@ -70,9 +70,9 @@ def leapfrog(dyn_syst, bin_syst, duration, dt, recover_param=False, display=Fals
                 step = None
             # display progression
             if len(dyn_syst.bodylist) == 1:
-                d.on_running(dyn_syst, step=step, label="{0:.2f} years".format(j*dt/yr))
+                d.on_running(step=step, label="{0:.2f} years".format(j*dt/yr))
             else:
-                d.on_running(dyn_syst, step=step, label="{0:.2f} years".format(j*dt/yr))
+                d.on_running(step=step, label="{0:.2f} years".format(j*dt/yr))
     if display:
         d.close()
         if gif:
diff --git a/lib/hermite.py b/lib/hermite.py
index 41abc85..73ce822 100644
--- a/lib/hermite.py
+++ b/lib/hermite.py
@@ -116,9 +116,9 @@ def hermite(dyn_syst, bin_syst, duration, dt, recover_param=False, display=False
                 step = None
             # display progression
             if len(dyn_syst.bodylist) == 1:
-                d.on_running(dyn_syst, step=step, label="{0:.2f} years".format(j*dt/yr))
+                d.on_running(step=step, label="{0:.2f} years".format(j*dt/yr))
             else:
-                d.on_running(dyn_syst, step=step, label="{0:.2f} years".format(j*dt/yr))
+                d.on_running(step=step, label="{0:.2f} years".format(j*dt/yr))
     if display:
         d.close()
         if gif:
diff --git a/lib/plots.py b/lib/plots.py
index 2833b7a..75fdb44 100755
--- a/lib/plots.py
+++ b/lib/plots.py
@@ -10,6 +10,33 @@ from lib.units import *
 
 
 class DynamicUpdate():
+    """
+    Class for dynamic display of the integrated system.
+    Initialise with the System of Bodies that will be integrated.
+    Launch the display, then call on_running method the update it.
+    -----
+    dyn_syst = System(bodylist)
+    d = DynamicUpdate(dyn_syst)
+    [Start integration procedure]
+    #Init
+    d.launch()
+    [in intgration loop]
+    #integration
+    for step in range(duration):
+        #update attributes of dyn_syst
+        d.on_running(step=step, label="will be displayed on current update")
+    [when integration reach end]
+    d.close()
+    -----
+    Additionnal parameters:
+    launch(blackstyle): boolean
+        If the display should have black background.
+        Default to True.
+    launch(lim_factor): float
+        Limits of the 3D display are dynamically updated to max_value*lim_factor.
+        Should always be >1. to have all bodies in the display.
+        Default to 1.5
+    """
     #Suppose we know the x range
     min_x = -1
     max_x = 1
@@ -41,7 +68,7 @@ class DynamicUpdate():
         self.ax.w_yaxis.set_pane_color((0,0,0,0))
         self.ax.w_zaxis.set_pane_color((0,0,0,0))
 
-    def launch(self, blackstyle=True):
+    def launch(self, blackstyle=True, lim_factor=1.5):
         #Set up plot
         if blackstyle:
             self.blackstyle = True
@@ -50,6 +77,7 @@ class DynamicUpdate():
             self.blackstyle = False
             self.fig = plt.figure(figsize=(10,10))
             self.ax = self.fig.add_subplot(projection='3d')
+        self.lim_factor = 1.5
 
         self.lines = []
         for i,body in enumerate(self.dyn_syst.bodylist):
@@ -59,7 +87,7 @@ class DynamicUpdate():
         self.lines = np.array(self.lines)
         #Autoscale on unknown axis and known lims on the other
         self.ax.set_autoscaley_on(True)
-        self.set_lims()
+        self.set_lims(factor=self.lim_factor)
         #Other stuff
         self.ax.grid()
         if self.blackstyle:
@@ -73,13 +101,13 @@ class DynamicUpdate():
             self.ax.set_ylabel('AU')
             self.ax.set_zlabel('AU')
 
-    def on_running(self, dyn_syst, step=None, label=None):
-        xdata, ydata, zdata = dyn_syst.get_positionsCOM()
+    def on_running(self, step=None, label=None):
+        xdata, ydata, zdata = self.dyn_syst.get_positionsCOM()
         values = np.sqrt(np.sum((np.array((xdata,ydata,zdata))**2).T,axis=1))/au
         self.min_x, self.max_x = -np.max([np.abs(values).max(),self.max_x]), np.max([np.abs(values).max(),self.max_x])
-        self.set_lims()
+        self.set_lims(factor=self.lim_factor)
         #Update data (with the new _and_ the old points)
-        for i,body in enumerate(dyn_syst.bodylist):
+        for i,body in enumerate(self.dyn_syst.bodylist):
             x, y, z = body.q/au
             self.lines[i].set_data_3d([x], [y], [z])
         if not label is None:
@@ -101,8 +129,22 @@ class DynamicUpdate():
         plt.close()
 
 
-def display_parameters(E,L,sma,ecc,phi,parameters,savename=""):
+def display_parameters(E,L,sma,ecc,phi,parameters,savename="",display_param=True):
     """
+    Save integrated parameters plots to multiple png files.
+    -----
+    Inputs:
+    E, L, sma, ecc, phi : list of np.ndarray
+        list of integrated parameters value computed for each step length in
+        parameters[step] list.
+    parameters : list
+        list of simulation parameters : duration, steps, system, integrator.
+    savename : str
+        default savename that will be prepend to each saved file path.
+        Default to empty string.
+    display_param : boolean
+        Set to True if the user wants to display the plots before saving,
+        False otherwise. Default to True.
     """
     if savename != "":
         savename += "_"
@@ -169,5 +211,6 @@ def display_parameters(E,L,sma,ecc,phi,parameters,savename=""):
     fig6.suptitle("Inclination angle of the perturbator's orbital plane "+title2)
     fig6.savefig("plots/{0:s}phi.png".format(savename),bbox_inches="tight")
     
-    plt.show(block=True)
+    if display_param:
+        plt.show(block=True)
   
\ No newline at end of file
diff --git a/main.py b/main.py
index e21ee86..92d380c 100755
--- a/main.py
+++ b/main.py
@@ -12,7 +12,7 @@ from lib.units import *
 def main():
     #initialisation
     m = np.array([1., 1., 1e-1],dtype=np.longdouble)*Ms#/Ms  # Masses in Solar mass
-    a = np.array([0.75, 0.75, 5.],dtype=np.longdouble)*au#/au   # Semi-major axis in astronomical units
+    a = np.array([1., 1., 5.5],dtype=np.longdouble)*au#/au   # Semi-major axis in astronomical units
     e = np.array([0., 0., 0.25],dtype=np.longdouble)   # Eccentricity
     psi = np.array([0., 0., 80.],dtype=np.longdouble)*np.pi/180.    # Inclination of the orbital plane in degrees
 
@@ -27,38 +27,28 @@ def main():
     v = np.array([v1, v2, v3],dtype=np.longdouble)
 
     #integration parameters
-    duration, step = 5000*yr, np.array([30./1.*86400.],dtype=np.longdouble) #integration time and step in seconds
-    step = np.sort(step)[::-1]
+    duration, step = 5000*yr, np.longdouble(1./2.*86400.) #integration time and step in seconds
     integrator = "leapfrog"
     n_bodies = 3
     display = False
     gif = False
     savename = "{0:d}bodies_{1:s}".format(n_bodies, integrator)
+    display_param = True
 
     #simulation start
-    E, L, ecc, sma, phi = [], [], [], [], []
-    for i,step0 in enumerate(step):
-        bodylist = []
-        for j in range(n_bodies):
-            bodylist.append(Body(m[j], q[j], v[j]))
-        bin_syst = System(bodylist[0:2])
-        dyn_syst = System(bodylist, main=True)
+    bodylist = []
+    for j in range(n_bodies):
+        bodylist.append(Body(m[j], q[j], v[j]))
+    bin_syst = System(bodylist[0:2])
+    dyn_syst = System(bodylist, main=True)
 
-        if i != 0:
-            display = False
-        if integrator.lower() in ['leapfrog', 'frogleap', 'frog']:
-            E0, L0, sma0, ecc0, phi0 = leapfrog(dyn_syst, bin_syst, duration, step0, recover_param=True, display=display, savename=savename, gif=gif)
-        elif integrator.lower() in ['hermite','herm']:
-            E0, L0, sma0, ecc0, phi0 = hermite(dyn_syst, bin_syst, duration, step0, recover_param=True, display=display, savename=savename, gif=gif)
-        E.append(E0)
-        L.append(L0)
-        ecc.append(ecc0)
-        sma.append(sma0)
-        phi.append(phi0)
+    if integrator.lower() in ['leapfrog', 'frogleap', 'frog']:
+        E, L, sma, ecc, phi = leapfrog(dyn_syst, bin_syst, duration, step, recover_param=True, display=display, savename=savename, gif=gif)
+    elif integrator.lower() in ['hermite','herm']:
+        E, L, sma, ecc, phi = hermite(dyn_syst, bin_syst, duration, step, recover_param=True, display=display, savename=savename, gif=gif)
 
-    parameters = [duration, step, dyn_syst, integrator]
-    display_parameters(E, L, sma, ecc, phi, parameters=parameters, savename=savename) #take the mean value of sma/ecc on given time interval (up to one period)
-    # np.convolve(sma, np.ones(int(period/step)))/int(period/step) -> moving average on the period duration
+    parameters = [duration, [step], dyn_syst, integrator]
+    display_parameters([E], [L], [sma], [ecc], [phi], parameters=parameters, savename=savename, display_param=display_param)
     return 0
 
 if __name__ == '__main__':
diff --git a/plots/3bodies_leapfrog_E.png b/plots/3bodies_leapfrog_E.png
index bff8b6a..7902e93 100644
Binary files a/plots/3bodies_leapfrog_E.png and b/plots/3bodies_leapfrog_E.png differ
diff --git a/plots/3bodies_leapfrog_L.png b/plots/3bodies_leapfrog_L.png
index 9551d51..a8579ef 100644
Binary files a/plots/3bodies_leapfrog_L.png and b/plots/3bodies_leapfrog_L.png differ
diff --git a/plots/3bodies_leapfrog_a_e.png b/plots/3bodies_leapfrog_a_e.png
index 2bf1293..68f8f21 100644
Binary files a/plots/3bodies_leapfrog_a_e.png and b/plots/3bodies_leapfrog_a_e.png differ
diff --git a/plots/3bodies_leapfrog_dEm.png b/plots/3bodies_leapfrog_dEm.png
index 617dd37..0c24328 100644
Binary files a/plots/3bodies_leapfrog_dEm.png and b/plots/3bodies_leapfrog_dEm.png differ
diff --git a/plots/3bodies_leapfrog_dL2.png b/plots/3bodies_leapfrog_dL2.png
index bcbc142..4f9e3eb 100644
Binary files a/plots/3bodies_leapfrog_dL2.png and b/plots/3bodies_leapfrog_dL2.png differ
diff --git a/plots/3bodies_leapfrog_phi.png b/plots/3bodies_leapfrog_phi.png
index 4887124..77f423b 100644
Binary files a/plots/3bodies_leapfrog_phi.png and b/plots/3bodies_leapfrog_phi.png differ