diff --git a/include/boost/astronomy/coordinate/conversion/conversion_graph.hpp b/include/boost/astronomy/coordinate/conversion/conversion_graph.hpp
index 67457e51..f9909e26 100644
--- a/include/boost/astronomy/coordinate/conversion/conversion_graph.hpp
+++ b/include/boost/astronomy/coordinate/conversion/conversion_graph.hpp
@@ -86,8 +86,8 @@ matrix<double> convert(const COORDINATE_SYSTEM src,
   vertex_t vd3 = boost::add_vertex(CoordinateData{COORDINATE_SYSTEM::ECLIPTIC,"Ecliptic"}, G);
   vertex_t vd4 = boost::add_vertex(CoordinateData{COORDINATE_SYSTEM::GALACTIC,"Galactic"}, G);
 
-  boost::add_edge(vd1, vd0, EdgeData{"Equatorial HA Dec to Horizon", bac::ha_dec_horizon<double, quantity<bu::degree::plane_angle>, double>(phi).get()}, G);
   boost::add_edge(vd0, vd1, EdgeData{"Horizon to Equatorial HA Dec", bac::ha_dec_horizon<double, quantity<bu::degree::plane_angle>, double>(phi).get()}, G);
+  boost::add_edge(vd1, vd0, EdgeData{"Equatorial HA Dec to Horizon", bac::ha_dec_horizon<double, quantity<bu::degree::plane_angle>, double>(phi).get()}, G);
   boost::add_edge(vd1, vd2, EdgeData{"Equatorial HA Dec to Equatorial RA Dec", bac::ha_dec_ra_dec<double, quantity<bu::degree::plane_angle>, double>(st).get()}, G);
   boost::add_edge(vd2, vd1, EdgeData{"Equatorial RA Dec to Equatorial HA Dec", bac::ha_dec_ra_dec<double, quantity<bu::degree::plane_angle>, double>(st).get()}, G);
   boost::add_edge(vd2, vd3, EdgeData{"Equatorial RA Dec to Ecliptic", bac::ra_dec_to_ecliptic<double, quantity<bu::degree::plane_angle>, double>(obliquity).get()}, G);