The Bohr model of the orbit of a spinless electron is not sustainable because the ground state of the atom corresponds to a zero Angular Momentum, or L = 0 state.

This means, literally, that the orbit of the CM of the electron goes through the center of the proton. The linear momentum of the electron is always pointing to the center of the proton.

R_B = 5.3  x 10⁻¹¹m

R₀ = λC / 2 ≈10⁻¹³m

R_p ≈10⁻¹⁵m

R_ee <10⁻¹⁹m

As shown in the picture, this can easily be understood with the Spinning Particle Model: the CM of the electron can go directly through the center of the proton, while its charge is spinning far away.
We can compare the size of the proton R_p with the radius R₀.
The CM of the electron oscillates up to a distance R_B, the Bohr radius.