# Kepler's Law, focal points - Heliocentric or Barycentric?

It is known that all the mass in the Solar system moves around the Barycenter.

For the two focal points in Kepler's law; is the first focal point $$F_1$$ a Heliocenter? Or is it actually a Barycenter?

If the $$F_1$$ is a Heliocenter, then, can the same exact ellipse and eccentricity of orbit be maintained by adjusting the second focal point $$F_2$$ and taking Barycenter as $$F_1$$ instead of Heliocenter?