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Earth Has Dust Cloud Satellites Mathematicians Confirm

Earth Has Dust Cloud Satellites Mathematicians Confirm

RUDN mathematicians confirmed that the Earth has other satellites besides the Moon - cosmic dust clouds that are difficult to observe. A hypothesis about their existence had been developed 60 years ago, but first confirmations were obtained only last year. The calculations of RUDN mathematicians give a mathematical proof of the obtained data and will be used to plan space missions.

The results of the study were published in the Acta Astronautica journal. Any two bodies affect each other with mutual attraction that depends on their masses and the distance between them. The space around them contains the socalled Lagrange points in which their gravitational pulls cancel each other. If a third body is placed in such a point, it will remain fixed against the other two or move along the orbit with one of them. This theoretical fact is confirmed by astronomic reality: groups of asteroids moving around the Sun together with Jupiter were discovered around the Lagrange points of the Sun-Jupiter system. The same should supposedly be observed in the Earth-Moon system, however, in this case the gravitational pull of the Sun should be taken into consideration as well. The first positive experimental proof of the existence of dust clouds in the Lagrange points of the Earth-Moon system were obtained in October 2018. A RUDN mathematician carried out a theoretical study that confirmed the results of the observations.

 “The Lagrange points are stable in the Sun-Jupiter, Sun-Earth, and Earth-Moon systems. It is only natural to expect that certain cosmic mass shall accumulate in them. However, the fundamental difference between the Lagrange points in the Earth-Moon and the SunJupiter systems lies in the major gravitational pull of the Sun that should be taken into consideration,” said Tatiana Salnikova, a coauthor of the work, a Candidate of Physics and Mathematics, and a research associate at the Institute of Space Technologies, RUDN.

According to the suggested model, each particle has its own charge and oscillates in the vicinity of a Lagrange point thereby creating its own electrical field. RUDN mathematicians studied a system of equations for a random number of such particles in the external gravitational field. The obtained numerical model of the dust clouds coincide with experimental observations made in 2018. Before that, the scientists had been denying the existence of Kordylewski clouds (named after the Polish scientist Kazimierz Kordylewski who was the first to suggest their existence in 1956). None of numerous space missions was able to give a clear confirmation of the hypothesis.

“Our numerical modeling results perfectly correlate with earlier observations. We can now be sure that Kordylewski clouds do exist. Therefore, they should be taken into consideration when planning space missions,” added Tatiana Salnikova.

The participants of the study also represented Lomonosov Moscow State University.

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