diff --git a/harmonica/gravity_corrections.py b/harmonica/gravity_corrections.py
index 46cb3faff..09bc00e31 100644
--- a/harmonica/gravity_corrections.py
+++ b/harmonica/gravity_corrections.py
@@ -1,5 +1,10 @@
 """
-Gravity corrections like Normal Gravity and Bouguer corrections.
+Gravity corrections like Bouguer corrections, free air, spherical cap and 
+atmospheric.
+
+Refer to Hinze(2005) for formula.
+http://library.seg.org/doi/10.1190/1.1988183
+
 """
 import numpy as np
 
@@ -7,7 +12,7 @@
 
 
 def bouguer_correction(topography, density_crust=2670, density_water=1040):
-    r"""
+    """
     Gravitational effect of topography using a Bouguer plate approximation
 
     Used to remove the gravitational attraction of topography above the
@@ -69,3 +74,72 @@ def bouguer_correction(topography, density_crust=2670, density_water=1040):
     density[oceans] = -1 * (density_water - density_crust)
     bouguer = 1e5 * 2 * np.pi * GRAVITATIONAL_CONST * density * topography
     return bouguer
+
+def atmospheric_correction(topography):
+    """
+    Calculates atmospheric correction as per Hinze 2005 eqn 5.
+    
+    .. math::
+
+        g_{atm} = 0.874 - 9.9E-5 h + 3.56E-9 h^2 
+
+    in which :math:`h` is the elevation of the station above the ellipsoid
+    and :math:`g_{atm}` is the gravitational effect of the atmospheric the air
+    mass in mGal.
+
+    Parameters
+    ----------
+    topography : array or :class:`xarray.DataArray`
+        Topography height and bathymetry depth in meters.
+        Should be referenced to the ellipsoid (ie, geometric heights).
+        
+
+    Returns
+    -------
+    atmos_correction : array or :class:`xarray.DataArray`
+    The gravitational effect of the atmosphere in mGal
+
+    """
+    atmos_correction = 0.874 - 9.9e-05 * topography + 3.56e-09 * topography**2
+    
+    return atmos_correction
+
+
+def spherical_bouguer_cap_correction(topography):
+    """
+    Calculates spherical cap correction for the Bouguer slab as per Hinze 2013.
+    
+    Gravity and Magnetic Exploration, Cambridge Press 2013 
+    
+    .. math::
+
+        g_{spher} =  0.001464139 h - 3.533047e-07 h^{2} + 1.002709e-13 h^{3}
+        + 3.002407E-18 h^{4} 
+
+    in which :math:`h` is the elevation of the station above the ellipsoid
+    and :math:`g_{spher}` is the gravitational effect of the spherical cap to 
+    166.7 km in mGal.
+
+    Parameters
+    ----------
+    topography : array or :class:`xarray.DataArray`
+        Topography height and bathymetry depth in meters.
+        Should be referenced to the ellipsoid (ie, geometric heights).
+            
+
+    Returns
+    -------
+    spher_cap_corr : array or :class:`xarray.DataArray`
+    The gravitational effect of the spherical cap in mGal
+
+    """
+    spher_cap_corr =  0.001464139 * topography - 3.533047e-07 * topography**2
+    + 1.002709e-13 * topography**3 + 3.002407E-18 * topography**4
+    
+    return spher_cap_corr
+
+
+
+    
+    
+    
\ No newline at end of file