DETERMINATION OF THE PLANET MASS THROUGH SPATIOTEMPORAL PROPERTIES OF THEIR SATELLITES
A new method for determining masses of planets in the solar system is proposed. The method is based on structural representations without using the gravity. The emphasis is transferred from the specifics of natural objects to an abstract structure: a set of relations that is represented as a network of nodes representing the allowed states and the links between them that ensure sustainability. The method is based on the previously proposed model of the proto-structure supposed to be the primary general system of relations for various natural systems. Based on this, the order parameter n is formed, which controls two primary characteristics, r and T. We use relations that bring together the order parameter n, characteristics r and T, and scale factors m, responsible for the difference in elements of the system - sub-system pair, where the sub-system consists of satellites.Structural considerations are applied to the solar system. The consideration was carried out on the assumption of a circular motion of the satellites in orbits. The relative angular momentum acts as n; it subordinates the distances r and satellites' orbital periods T while masses of planets and the Sunappear as scale factors of type m. For each planet, four satellites with minimal eccentricities were selected (for the Earth and Mars: 1 and 2). The space-time characteristics of these satellites are used to calculate first the order parameter n, and then - the masses of the planets; the mass of the Sun is assumed to be known. A total of 23 satellites were selected for the analysis, of which 6 have circular orbits. As a result, the masses are presented in relative units with the traditional normalization for the mass of the Earth. The results of determining the masses of the planets are compared both with each other and with known physical data. For seven planets the obtained mass values on average correspond to the known values within 0.8%. Excluding the satellites of Pluto brings this figure to0.4%. In general, it is shown that the Sun, planets and satellites are a single network subject to common structural patterns.