diff -u -r geometry.orig/strategies/strategy_transform.hpp geometry/strategies/strategy_transform.hpp
--- geometry.orig/strategies/strategy_transform.hpp	2011-10-09 20:30:04.771874000 +0200
+++ geometry/strategies/strategy_transform.hpp	2011-11-23 10:56:47.143487500 +0100
@@ -251,6 +251,23 @@
         return false;
     }
 
+	template <typename P, typename T>
+	inline bool cartesian_to_spherical_equatorial3(T x, T y, T z, P& p)
+	{
+		assert_dimension<P, 3>();
+
+		// http://en.wikipedia.org/wiki/List_of_canonical_coordinate_transformations#From_Cartesian_coordinates
+		T const r = sqrt(x * x + y * y + z * z);
+		set<2>(p, r);
+		set_from_radian<0>(p, atan2(y, x));
+		if (r > 0.0)
+		{
+			set_from_radian<1>(p, asin(z / r));
+			return true;
+		}
+		return false;
+	}
+
 } // namespace detail
 #endif // DOXYGEN_NO_DETAIL
 
@@ -361,6 +378,16 @@
     }
 };
 
+template <typename P1, typename P2>
+struct from_cartesian_3_to_spherical_equatorial_3
+{
+	inline bool apply(P1 const& p1, P2& p2) const
+	{
+		assert_dimension<P1, 3>();
+		return detail::cartesian_to_spherical_equatorial3(get<0>(p1), get<1>(p1), get<2>(p1), p2);
+	}
+};
+
 #ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
 
 namespace services
@@ -454,6 +481,11 @@
 {
     typedef from_cartesian_3_to_spherical_polar_3<P1, P2> type;
 };
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<cartesian_tag, spherical_equatorial_tag, CoordSys1, CoordSys2, 3, 3, P1, P2>
+{
+	typedef from_cartesian_3_to_spherical_equatorial_3<P1, P2> type;
+};
 
 
 } // namespace services