A homogeneous series of photographic position measurements of the visual binary ADS 12815 obtained on the 26-inch refractor of the Pulkovo Observatory (1960-2007) is analyzed. The Pulkovo observations allow for the existence of the planet around component B discovered by Cochran et al. (1997ApJ...483..457C) based on radial-velocity measurements. The orbit of the planet must be steeply inclined to the plane of the sky (i>=70{deg}). Uniform series of position measurements obtained at the Dearborn Observatory, US Naval Observatory, and Pulkovo Observatory, the HIPPARCOS parallax, and the relative radial velocities obtained by Hauser andMarcy at the Lick Observatory are used to calculate the elements of possible orbits for the ADS 12815 stars using the apparent motion parameters method. The corresponding periods are more than 20000yr, the semi-major axes more than 900AU, and the eccentricities more than 0.65. All possible orbits are steeply inclined to the Galactic plane. The obtained family of orbits is in better agreement with observations than the family calculated by Hauser and Marcy.