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The equations of secular evolution for dust grains in mean motion resonanceswith a planet are solved for stationary points. This is done including bothPoynting-Robertson effect and stellar wind. The solutions are stationary insemimajor axis, eccentricity, and resonant angle, but allow the pericentre toadvance. The semimajor axis of stationary solutions can be slightly shiftedfrom the exact resonant value. The periodicity of the stationary solutions in areference frame orbiting with the planet is analytically proved. The existenceof periodic solutions in mean motion resonances means that analytical theoryenables for dust particles also infinitely long capture times. The stationarysolutions are periodic motions to which the eccentricity asymptoticallyapproaches and around which the libration occurs.  Using numerical integration of equation of motion are successfully foundinitial conditions corresponding to the stationary solutions. Numerically andanalytically determined shifts of the semimajor axis form the exact resonancefor the stationary solutions are in excellent agreement.  The stationary solutions can be plotted by locations of pericenters in thereference frame orbiting with the planet. The pericenters are distributed inthe space according to properties of dust particles.

Locations of stationary/periodic solutions in mean motion resonances according to properties of dust grains