Possible areas of accumulation of the space masses in the Solar system

Avdanina, L.; Samokhin, A.; Salnikova, T.

Авторы: Avdanina Lubov, Samokhin Alexander, Salnikova Tatiana
Журнал: Advances in the Astronautical sciences
Том: 178
Год издания: 2023
Первая страница: 17
Последняя страница: 25
Аннотация: In this paper we study the possibility of capture the cosmic bodies (dust particles, comets or asteroids) by the Solar system planets. The problem of determining the zones of accumulation of material bodies is very important for the safety of space flights. Let’s consider a three-body problem (Sun, Jupiter, Particle) in the following setting. Jupiter moves in its circular orbit around the Sun. The material point is in space far away from the center of mass of the Sun and moves in the plane of Jupiter's circular orbit with parabolic velocity relative to the Sun. Without taking into account the gravitational perturbation of Jupiter, this point would move along the keplerian parabolic orbit forward to the Sun. It means that this mass point will leave the limits of the Solar system forever within a finite time. Let among an ensemble of such particles there are particles falling into the sphere of influence of Jupiter. Then, after passing the material point near Jupiter and leaving its sphere of action, the velocity of the material point relative to the Sun in the current position may become comparable to the circular velocity relative to the Sun. So, these points, moving along a circular or elliptical orbit, won’t be able to leave Solar system. Trajectories of the points are calculated by numerical integration of differential equations of perturbed Keplerian motion for different initial positions of the material points and different directions of their velocities. After passing of material point near Jupiter and leaving its sphere of action, the velocity of the material point relative to the Sun is compared with the circular velocity at each step of integration to determine the trajectories on which the gravitational impact of Jupiter leads to further movement of an asteroid or comet along a circular trajectory relative to the Sun. As a result of numerical simulations, the areas of possible accumulations of space masses are found. The problem in the considered setting can be applied to various systems of this type, for example, Earth, Moon, Particle. The results of numerical simulations should be taken into account when planning space missions. IAA-AAS-SciTech2020-013-AAS 20-302
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