Loxodrome and Isometric Latitude

The paper gives a new generalized definition of the loxodrome on any surface. Its differential equations are derived, which are solved on the sphere and on the rotational ellipsoid. The concept of generalized longitude is introduced, which appears in a natural way when solving the differential equation of the loxodrome. Furthermore, the isometric latitude on the sphere and on the ellipsoid is introduced and show the relations with latitude and longitude. Generalized longitude allows defining isometric latitude in a new way. At the end, basic geodesic problems are solved along the loxodrome on the sphere and on the rotational ellipsoid.