5.3.6.1 Gravitational acceleration created by object itself.

In a common case, when under the radius r_{lmx} occurs the sphere of the mass m, the average
mass density may vary in large extent. Due to this fact it might also happen that the certain layer under the radius
r_{lmx} becomes "hidden", e.g. situated out of the own interface area (of course the mass particles of which
the object is consisting have their own interface area, because of their high mass density). Such event arrives when the space
density in the layer becomes lower than the space density of other gravitational object. We can see on
Fig26 and Fig31 that inside a cosmic body such
condition arises in a space close to the centre of gravity, if this space is filled by the mass of the high mass density. In such case
the mass distribution in a respective layer is governed by the space density originated now by other governing object, and the
gravitational acceleration in such layer has to be re-calculated from the hidden gravitational field of the respective layer to the
open gravitational field of the other object, in accordance with the chapter 5.3.4.2.

The gravitational acceleration on the surface of the spherical object of mass m, under the radius r_{lmx}
inside the major gravitational object must be in conformity with the equation (182):

(545)

or, substituting for v_{m/x} from the equation (170) :

(546)

where

g_{zx}

stands for the Z_{ct} gravitational acceleration at the radius r_{lmx} of the
object of mass m under radius r_{lmx}.

Applying the equations (189) and (190) at
v_{n/mk}=0 (the mass under radius r_{lmx} does not move with respect to the centre
of gravity) and at r_{lmxk}=r_{lmx} (since r_{lmxk} means the radius at which
v_{n/mk}=0), we receive :

the frame intrinsic acceleration acting at a common radius r_{lmx} :

(547)

and, the Z_{cr} acceleration, acting at a common radius r_{lmx} or, at a respective mass
m :

(548)

The equations (546), (547) and (548) define the gravitational acceleration in a spaceflow line not only under the surface of the
gravitational body, but also above its surface, in a space at which the frame intrinsic mass density approaches zero, however in
case only,when the respective object does not move with respect to the centre of gravity. We can see that the frame intrinsic
gravitational acceleration (we can measure it directly in a respective depth) is identical with the Z_{ct}
gravitational acceleration, that cannot be measured directly, however it represents the important quantity for calculation of the
gravitational potential and energy.

The example

To calculate the Z_{ct} gravitational acceleration under Earth surface, on condition that its outer radius
R_{o} = 6,378*10^{6} m, its total mass
M_{o} = 5,977*10^{24} kg, and, that the mass is created of the following 3 layers : 1st layer
Radia : R_{o} = 6,378*10^{6} m, R_{1} = 6,377*10^{6} m
Frame intrinsic mass density: 1000 kg/m^{3} 2nd layer
Radia : R_{1} = 6,377*10^{6} m, R_{2} = 6,378*10^{3} m
Frame intrinsic mass density: 2700 kg/m^{3} 3nd layer
Radia : R_{2} = 6,377*10^{3} m, R_{3} = 0 m
Frame intrinsic mass density: 7870 kg/m^{3}

Solution
Applying the results of the mass distribution according to example in chapter 5.3.5.2, the
Z_{ct} gravitational acceleration was calculated for each layer, applying the equation (546). The results
are shown on Fig32 :
At the radia defining the three layers the following values were calculated :
- At R_{o} : g_{zx = -9,80275 m/s2 }
- At R_{1} : g_{zx = -9,80373 m/s2 }
- At R_{2} : g_{zx = -11,0688 m/s2 }
- At R_{1} = 0 : g_{zx} = 0