Transport infrastructure facilities design

The article examines the transport infrastructure facilities design taking into account terrestrial conditions. The geocentric and topocentric coordinate systems are investigated. It is shown that the stationary objects’ designs are in the Cartesian coordinate system. However, in practice, they are erected in a geocentric coordinate system within Riemann’s geometry framework. It is shown that ordinary levelling does not define a plane, but a level surface. It is shown that the verticals, which are determined by plumb lines or by the gravity direction, are not parallel to each other. They are level surface normals. Because of this, real buildings are not rectangular, but trapezoidal normal levelling does not define a plane, but a level surface. A level surface is the second order’ a curved surface. However, structures built within the Riemannian geometry framework are more stable and durable. It is shown that in the transition from the track horizontal section to the track located on the geodetic curve, a braking point appears, which creates rail increased wear. It is shown that the earth’s surface curvature influence during construction is significantly different for plan coordinates and heights. The corrections estimate for the earth’s surface curvature by elevation for linear structures is given.