A practical objection which has not been raised is the relative velocities of the respective solar systems and planets. A number of solutions present themselves:

  1. A machine at one end needs to compensate for the (hopefully known) relative velocities, which will be constantly changing due to the orbits of both planets. Our interstellar telegraph will have to extrude and retract portions of this rod, and separate the signal from this morass.
  2. Our respective solar systems will simply have to be synchronized. One star or the other will have to be accelerated so as to parallel the other exactly. If planetary rotation can then be eliminated and the orbits of the planets made identical, our rod idea can be made to work.
  3. It is worth noting that an ideal solution permits the rotation of the planets to continue. Assuming that axial tilt can be eliminated, if the rods can be placed upon the rotational poles of each planet and the solar systems aligned with one directly "above" the other, we can maintain our convenient day and night cycles.