 By means of a radius r_{tmx}, corresponding to an orbital space
density in a direction perpendicular to a spaceflow speed, with reference to a chosen orbit.
Radius r_{tmx} of the same orbit reaches different value, depending on a chosen
orbit in which the radius is measured (see chapter 5.1.4).
The size of an orbital spherical area (in units of a chosen reference orbit) may be
calculated:
 (149) 

The radius may be measured by means of an instrument not breathing with space.
We can hardly measure radius r_{tmx} by direct measurement, except of its
value r_{tmx}=R_{e} on earth surface. Since the speed
v_{m/x} have been found many times smaller than the speed of light, we may
consider the equation r_{tmx}=r_{lmx}=R_{e} as sufficiently
accurate on earth surface, and, equation r_{tmx}=r_{lmx} as
sufficiently accurate for orbits above earth surface.
 By means of a radius r_{lmx}, corresponding to an orbital space
density in a line of a spaceflow speed, with reference to a chosen orbit. This radius stands
for the distance between singularity point and respective orbit, expressed in units of a
chosen orbit, and reaches different value, depending on a chosen orbit in which it is measured
(see chapter 5.1.4).
It could be measured in a corridor only, made through the Earth globe, in which
the same space density had been created as it is a longitudinal space density in a respective
orbit.
We can measure the radius r_{lmx} by the same way as the distance between
Earth and its Moon had been measured, and brought Sir Isaac Newton to a diccovery of the
law of universal gravitation, which conforms with equation (130) for the earth gravitation.
See Fig.11.
Fig.11 Measurement of the radius r_{lmx}
Knowing the radiusR_{e}, distance AB, and angle alpha, we can simply calculate
the distance CD and the radius r_{lmx}.
Despite we provide measurement with
instruments breathing with space, we measure the distance AB with a very high accuracy,
because it practically lays in a spacetime structure and the same space density as which
our instrument is calibrated for.
Also the angle alpha is measured with sufficient accuracy,
considering that our speed v_{m/x} is very small with respect to speed of light.
 By means of a frame intrinsic radius r_{tm}. This radius is measured
(and calculated)
by means of measuring of the length of line of an orbit circumference, by an instrument
breathing with space. The size of an orbital area (in scale of the orbit own space density)
may be calculated:
 (150)


Any our orbital spherical area is constantly passed through, by Xframe spacetime structure,
falling into a singularity. The observer from Xframe, just passing our orbital area, detects
that Mframe is moving in opposite direction at a speed v_{m/x}. The relativistic
spacetime density in a direction perpendicular to the spaceflow speed is determined by equation
(105). Therefore the galilean projection of the radius
r_{x} into our orbital frame will be:
 (151)


Taking into consideration very low ratio v_{m/x}/c_{g}, we may write
for the space above earth surface:
 (152)


 By means of a radius r_{lm} measured by an instrument not breathing
with space, in a line of a spaceflow
speed. This radius stands for the distance between singularity point and respective orbit,
expressed in units of an orbit itself.
The relativistic density in a line of a spaceflow speed is determined by equation
(105). We can derive in a similar way as in c), that:
 (153)


and, for earth gravitational field:
 (154)


 By means of a frame intrinsic radius R_{lm}, standing for the distance
between
singularity point and respective orbit, measured by the instrument calibrated
in the chosen frame, but breathing with the spacetime structure in all points of the radius line. See Fig.12.
Fig.12 The example of a spacetime structure of which radius R_{lm}
consists
The structure of the radius R_{lm} is shown exaggerating the principle of the
matter. In fact, the size of the spacetime structure packet is innumerably times lower with
respect to the radius. This size is constant, of course, if measured by an instrument
breathing with space. In accordance with equation (153) it may be expressed as:
 (155)


Note: The equation (155) says, that, if an increment's length of the r_{lmx}
(representing certain number of the spacetime packets) is measured, by the ruler, in the chosen frame,
and then, the same number of the spacetime packets, in the same line, is measured in a common orbit
by the same ruler, it will show the same increment's length.
But, creating radius R_{lm}, every spacetime packet must contribute to the
radius by the same percentage of its magnitude. It means, the contribution of the packet from
any orbit to the radius R_{lm} must be understood as a galilean projection of
a packet's size into Mframe of a chosen orbit. Therefore:
 (156)


where
 stands for the total space density in a spaceflow line (having its origin both in
relativistic and geometric reasons) in a respective orbit,
 stands for the total space density in a spaceflow line in a chosen orbit.
The total space densities may be derived from equations (105) and
(107):
 (157)


 (158)


These space densities may be applied in case only, if all mass of which gravitational field we
are examining, is concentrated in a singularity. In case we were searching for a radius in a
gravitational field of a cosmic object of a real size, like Earth, we should have to take into
consideration, that the basic parameters of a gravitational field, r_{x} and
v_{m/x} are decreasing under cosmic body surface along with decreasing mass
into which the spaceflow structure flows.
Substituting for the total space densities from equations (157) and (158) to equation (156),
we receive:
 (159)


Taking delta increments as differentials, and, assuming the constant speed of light, or, restricting the validity
of the equation on the interval of a constant speed of light, we obtain by integration of equation (159):

(160) 

where
 L_{lm}
 stands for the distance between the radia r_{lmxk} and r_{lmx},
measured by means of a measuring tape, that was calibrated inside of the chosen frame (that is, in the horizontal
direction on the chosen orbit).
 r_{lmxk}
 stands for the lower limit of the measured interval
Taking into consideration the influence of the prospective change of the speed of light, we would have to solve
the integral:
 (160a) 

Trying to find out the height L_{lmx} above the Earth surface (r_{lmxk}=
r_{lm}=r_{x}), we usually measure it by the method described on (Fig 11). By
this method we receive the difference between radius r_{lmx} and radius
r_{lm}=r_{x} on Earth surface:
L_{lmx}=r_{lmx}r_{lm}
In case, however, if measuring tape was used, calibrated in a horizontal position on Earth surface, and then
one its end was taken up to a height L_{lmx}, we could read on its scale, just reaching the Earth
surface, the value of the height L_{lm}. Above Earth surface (in general, at
r_{lmx} > r_{lm}) it must be :

(161) 

The equation (161) gives the following results for r_{lm}=
R_{e}=6,378 * 10^{6} m:
L_{lmx}(m) 
10^{3} 
10^{5} 
10^{6} 
2*10^{6} 
4*10^{6} 
6*10^{6} 
8*10^{6} 
1*10^{7} 
5*10^{7} 
1*10^{8} 
L_{lm}(m) 
9992,2 
99224 
928943 
1739629 
3105025 
4229036 
5184323 
6014992 
13899093 
17948612 
L_{lmx}/L_{lm} 
1,00078 
1,00782 
1,07649 
1,14967 
1,28823 
1,41876 
1,54311 
1,662513 
3,59736 
5,57146 