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#### 5.3.3.5 Trajectories of objects in revolution around Sun

In the calculation example of Mercury we used the speed vook (the speed voo at the initial radius rk) as the initial parameter. In fact however, the speed voo represents the Zcr orbital speed in a non deformed spacetime structure, and cannot be directly measured, because the spacetime structure in gravitational field is more or less deformed due to different space (spacetime) densities in vertical and horizontal directions. It should be preferable therefore to use the speed vood as the initial parameter, instead of voo, since it represents the real, measurable Zcr orbital speed in the deformed spacetime structure.
So, for the next calculations the initial parameters shall be defined as follows :
• the basic parameters of the Sun's gravitational field, rx and vm/x, according to Tab13b-1,
• the initial radius rk - aphelion,
• the initial Zcr vertical speed vol=0 and,
• the initial Zcr orbital speed voodk (that is, the real orbital speed vood at the radius rk).
The calculation will start by the determination of the initial value of the space deformation density (at the radius rk), in conformity with the equation (248):
(259)

Applying the equation (248a), we can calculate the initial speed vook (the speed voo at the radius rk) :
(260)

The next continuance of the calculation stays the same as in the example for the planet Mercury. Calculated parameters parameters of all planets of the solar system are shown in Tab13c-1 and Tab13c-2. It is advisable to remind that the credibility of calculated parameters might be influenced by the not quite correct choice of the initial parameters rk and voodk.
Tab13c-1
Trajectory
parameters
Mercury Venus Earth Mars Jupiter
Sun's grav. field
4,423318*108 4,422627*108 4,422336*108 4,422019*108 4,421405*108
Sun's grav. field
speed vm/x (m/sec)
7,746738*105 7,747343*105 7,747598*105 7,747876*105 7,748414*105
(Aphelion) (m)
7,174000*1010 1,090000*1011 1,520505*1011 2,492341*1011 8,160848*1011
Initial Aphelion orbital
speed voodk (m/sec)
3,374684*104 3,464646*104 2,906995*104 2,101049*104 1,214440*104
Initial space
deformation density
0,999594 0,999671 0,999721 0,999782 0,999880
-perihelion (m)
4,619260*1010 1,074146*1011 1,471770*1011 2,801013*1011 7,414499*1011
Excentricity 0,216627 0,007326 0,01628 0,089940 0,047919
Perihelion orbital
speed vood (m/sec)
6,517342*104 3,541456*104 3,052287*104 2,752682*104 1,402123*104
Siderical period (secs) 7,60205*106 1,941214*107 3,155690*107 5,936459*107 3,743278*108
Siderical period (years) 0,240899 0,615551 1 1,882439 11,861987
3,853734*10-4 5,944308*10-2 5,042625*10-2 3,760662*10-2 2,191771*10-2
0,159972 9,656825 5,042625 1,997760 0,184773
2,250385*105 3728,9 7139,134 18020,18 1,94834*105

Tab13c-2
Trajectory
parameters
Saturn Uranus Neptune Pluto Comet Halley
Sun's grav. field
4,421214*108 4,421057*108 4,420981*108 4,420939*108 4,420880*108
Sun's grav. field
speed vm/x (m/sec)
7,748581*105 7,748719*105 7,748786*105 7,748822*105 7,748830*105
(Aphelion) (m)
1,520000*1012 3,018000*1012 4,545000*1012 7,50000*1012 2*1013
Initial Aphelion orbital
speed voodk (m/sec)
8,752046*103 6,296608*103 5,347304*103 3,195624*104 29,456780
Initial space
deformation density
0,999911 0,999937 0,999949 0,999960 0,999975
-perihelion (m)
1,338164*1012 2,726822*1012 4,450205*1012 4,588750*1012 1,148093*1011
Excentricity 0,063620 0,050685 0,001054 0,240751 0,988584
Perihelion orbital
speed vood (m/sec)
1,059317*104 7,330520*103 5,518890*103 6,673403*103 6,754823*104
Siderical period (secs) 9,296020*108 2,651208*109 5,201713*109 7,837128*109 2,376908*109
Siderical period (years) 29,477487 84,0135 164,8358 248,5137 75,3212