Inertial railway propulsion with application of a couple of construction techniques seems to be plausible to build only with several assumptions which should be fulfilled to obtain measurable effects. The main assumption here is that the train will be affected by acceleration coming from gravity force from acting of the mass of entire planet once it will be located on a proper prepared track, that will be not parallel to earth surface thus it will be not curved with the proper curvature of the Earth. We should remember that almost entire infrastructure that is built by humans was constructed with respect to external curvature of Earth surface. Every object that is located on Earth surface is affected by gravity force and such a objects like liquids automatically are fitting to this curvature due to hydrostatic pressure created by gravity of the planet. Other objects created by humans must be curved due to their functionality for such a aims like railway and road transport. If for instance the railway was located on the straight line then on certain distance both ends of the train track would be placed on bigger and bigger distance from the ground and would need massive construction support. Straight line is possible to obtain with application of laser ray. This is only imaginary presentation and nobody would be able to build such a track on for instance ten thousand kilometers it is impossible from the technical side. However, with application of certain vibrational technics like vibration axial generators this system could work well on even very long railway track. In this case also both weight of entire train and inertia momentum on the longest axis is important. Application of axial vibration generators will allow to obtain high resonant frequency affecting the train suspended under the railway upper beams and the train should be moving on the track made from very hard reinforced concrete. Naturally, the question of halfusable driving force from the gravitation affecting the train is open, because when the train is on the minimal radius point the force from gravity after crossing that point would be acting in opposite direction and the train will be slowing down with the proportional force to the distance increasing on the other side of the balance system. What is more, if the train is approaching to the point of minimal radius the propulsive force will be decrease to minimal value what will be appear as lack of the ability to acceleration of the vehicle. So the train would be making further journey only thanks to gained earlier dynamic energy and even won't arrive to its maximal radius point on the other side of the track. One should notice that the energy of force in entire system will be very low, and for the correct operation of the system the train will not be able to move up the hill or something like that. The other side of solving this problem would be dividing the track on shorter parts with more inclination, but then we are obtaining not straight line according to support beams location, and the ability of continuous movement of the train would be disturbed. Another approach to the matter is to notice one thing and this is the fact that if the object is falling in gravity field to the center of mass on the planet surface it has its own momentum and it will try to conserve its own independent trajectory without relation to external objects, so if it will fall on the earth surface it will be slightly displaced on the west after dropping from for instance high tower. This phenomenon can be used to the train propulsion to obtain forward movement in west direction and for this purpose can be used axial vibration generators, too. When the train is falling down lifted by those generators it will be falling down each time after generators stop, so it will be displaced a few micrometers ahead during the falling to the west direction but if to apply very fast vibrations those micrometers would be collected to kilometers as well, but this is only a uncertain prediction because I don't know and can't imagine what will happen when the train will be going to start position after falling down in gravity and whether this process won't have contrary effect canceling the displacing obtained in the process of falling down.If the frequency of operation of entire system is to be great the free falling of the train mass will not be executable. Rather form of resonance will be involved into the system. So then the system will not be able to work on standard assumptions and one should consider what forces will be acting in the system in this case.