  We derive novel analytical solutions describing timelike and null geodesics
in the Kerr spacetime. The solutions are parameterized explicitly by constants
of motion -- the energy, the angular momentum, and the Carter constant -- and
initial coordinates. A single set of formulas is valid for all null and
timelike geodesics, irrespectively of their radial and polar type. This
uniformity has been achieved by applying a little-known result due to Biermann
and Weierstrass, regarding solutions of a certain class of ordinary
differential equations. Different from other expressions in terms of
Weierstrass functions, our solution is explicitly real for all types of
geodesics. In particular, for the first time the so-called transit orbits are
now expressed by explicitly real Weierstrass functions.
