Between 1908 and 1932, Pickering proposed seven hypothetical planets (O, P, Q, R, S, T and U). During the following years, only the planet P occupied him seriously [1-3]. In 1931, after the discovery of Pluto, Pickering published an elliptical orbit for P: distance 75.5 AU, period 656 years, mass 49.6 Earth masses, eccentricity 0.265, inclination 37 degrees [1]. But, the Prague 2006 IAU Resolution officially fixed the number of planets of the Solar system to eight [4, 5]: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune. These planets are grouped into three categories on the basis of their size and composition: terrestrial planets (Mercury, Venus, Earth, Mars and Pluto), gas giants (Jupiter and Saturn) and ice giants (Uranus and Neptune). Recently [6], Sakho presented the Sakholian radius-to-mass ratio (SRMR) postulate very suitable on classifying the planets of the Solar system. The SRMR postulate shows undoubtedly that the Solar system contains three categories of planets: terrestrial planets (Mercury, Venus, Earth, and Mars), dwarf planets (Ceres, Pluto, Haumea, Makemake, and Eris and giant planets (Jupiter, Saturn, Uranus, and Neptune). In addition, Sakho postulated that the planets of the Solar system are necessary coupled and find a sister coupled to Pluto his nicknamed Seneg [7]. Besides, although the Solar system is composed of eight planets, cosmologists investigating the outer solar system propose that a ninth planet could be hiding in the far reaches of our cosmic neighborhood [8]. This hypothetical planet is believed to be a gas or ice giant and, if it exists, it could also rewrite our understanding of the solar system's origins and evolution [9]. Cosmologists proposed that a giant ninth planet with 10 Earth mass might be present in the outer solar system [10]. The goal of this work is to show that, although ccosmologists are actively searching a ninth planet very far from the Sun, the planet P predicted by Pickering and located at the distance 75.5 AU from the Sun may be considered as a very potential candidate to discover. Section 2 presents the theoretical part of the work. We present and discuss the results obtained in section 3 and conclude in section 4.

Theory

The starting point is the heliocentric model of the solar system of coupled planets postulated by Sakho [7] as shown in figure 1. In this model, the ellipticity of the orbits of the planets is not considered. The moon is omitted and the planets are considered coupled in macroscopic “quantum” boxes. Each planet has an intrinsic angular momentum of spin of value 1/2 (red arrow) theoretically justifying their own rotational movement. The hypothetical tenth dwarf planet coupled with Pluto is named Seneg (in homage to the author's country, Senegal). The Sun also has a spin angular momentum (blue arrow) like the planets probably equal to 1/2.

Figure 1: Sakho's heliocentric model of the coupled planets (the dimensions of the planets are not respected).

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