Algorithm and computational complexity of Solar System

Abstract:This paper discusses cyberinformation studies of the Solar System, in particular the identification of scientific terminology that could describe this phenomenon, ie, the study of Solar System, as well as the relationship between the astronomical language of Solar System and theoretical aspect of this system and cybernetics। The result of this research show that there is a matrix code for Solar System। It also shows that the coding system within the planetary language gives detailed information, not only on the planetary „record“, but also on its structure, configuration and its various shapes. The issue of the existence of an planetary code and coding of the individual structural planets of this system are discussed.

ALGORITHM

We shall now give some mathematical evidences that will prove that in the Solar System there really is programmatic and cybernetic algorithm in which it is „recorded“, in the language of mathematics, how the planets will be built and what will be the quantitative characteristics of the given planetary information.

Astronomical progression

Step 1

AC1 = 10; AC2 = 22; AC3 = 19;... ACx = 17;

[AC1 + (AC1+ AC2) + (AC1+ AC2+ AC3)..., + (AC1+ AC2+ AC3..., + ACx)] = S1;

AC1 = APa1 = 10;

(AC1+ AC2) = (10+22) = APa2 = 32;

(AC1+ AC2+ AC3) = (10+22+19) = APa3 = 51;

(AC1+ AC2+ AC3..., + ACx) = APax;

APa1,2,3,n = Astronomical progression 1,2,3,n

[APa1+APa2+APa3)..., + APax)] = (10+32+51…, + X) = S1;

Example:

Astronomical progression 1 (APa)

						Sum
10	22	19	.	.	X	Y1
1	2	3	.	.	X	Y2

I

						Sum
10	32	51	.	.	Y1	Y2
1	2	3	.	.	X	Y2

(0+10) = 10; (10+22)=32; (10+11+19) = 51; etc.

Figure 1. Schematic representation of the astronomical progression from X to 1.

Step 2

ACx = 17; Ac(x-1) = 24; AC(x-2) = 17;... AC1 = 10;

[ACx + (ACx+ AC(x-1)) + (ACx+ AC(x-1)+ Acxx-2)..., + (ACx+AC(x-1)+AC(x-2)..., +AC1)] = S2;

ACx = APbx = 17;

(ACx+ AC(x-1)) = (17+24) = APbx = 41;

(ACx+ AC(x-1)+ AC(x-2)) = (17+24+17) = APb(x-2) = 58;

(ACx+ AC(x-1)+ AC(x-2)..., + AC1) = APb1;

APbx,(x-1),(x-2), …,1 = Astronomical progression X,(X-1),(X-2),…1;

Is the planetary information characterized only by physical, or also by cyberinformation principles? The potential effects of physical and Orbital characteristics, as well as cybernetic and information principles, on the atronomical basis of Solar System are also investigated. This paper discusses new methods for developing astronomy technologies, in particular more advanced digital technology based on programming, cybernetics, and informational laws and systems, and how this new technology could be useful in astronomy, bioinformatics and other natural sciences.

Keywords
Solar System, planetary code, orbital code

Methods

Solar System can be represented by two different forms, ie, a discrete form and a sequential form. In the discrete form, a Solar System is represented by a set of discrete codes or a multiple dimension vector. In the sequential form, a Solar System is represent by a physical and orbital characteristics of planets.

Therefore, the sequential form can naturally reflect all the information about the planets order and lenght of a Solar System। The key issue is whether we can develop a different discrete method of representing a Solar System that will allow accomodation of partial, if not all planets order information? Because a Solar System is usually represented by a series of planets should be assigned to these codes in order to optimally convert the planetary sequence order information into a series of numbers for the discrete form representation?

Example:

Astronomical progression 2 (APb)

Figure 2. Schematic representation of the astronomical progression 2 from X to 1.

Example:

Astronomical progression 2 (APb)

10	22	19	.	.	17	17	24	17	Y
1	2	3	.	.	(x-3)	(x-2)	(x-1)	X	Y1

I

Y	X1	X2	X3	.	.	75	58	41	17
Y1	1	2	3	.	.	(x-3)	(x-2)	(x-1)	X

(0+17) = 17; (17+24)=41; (17+24+17)=58; etc.

Figure 2. Schematic representation of the astronomical progression 2 from X to 1.

Within the digital pictures in astronomy, the physical and chemical parameters are in a strict compliance with programmatic, cybernetic and information principles.

The digital language of astronomy has a countless number of codes and analogue codes, as well as other information content. These pictures enable us to realize the very essence of functioning of astronomical phenomenons (Orbital characteristics, physical characteristics, etc।) There are some examples: