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Study of the influence of the Jupiter’s trojan groups on the movement of planets and dynamic estimates of their masses

Pitjeva E. V., Pitjev N. P.

Известия ГАО в Пулкове, № 225: Труды Всероссийской астрометрической конференции «Пулково-2018», Санкт-Петербург, 207–212 (2018)

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The possibility of dynamically estimating the total mass of asteroids in the Jupiter Trojan groups has been investigated. There are the two compact groups “Greeks” (L4) and “Trojans” (L5), consisting of several hundred thousand asteroids in the vicinity of stable Lagrange points, moving at a 1:1 resonance with the orbital motion of Jupiter. The study of the gravitational influence of these compact groups of asteroids on the movement of the planets is essential for the movement of Mars and Jupiter. Currently, the dynamic model of the Solar System includes gravitational interactions between the planets, the Sun, the Moon, large asteroids, Trans-Neptune Objects (TNO), the Main Asteroid Belt, the Kuiper Belt, and the relativistic effects of General Theory of Relativity and Sun oblateness. The natural next step is to consider the effect of numerous small bodies in the region of the Lagrange points L4 and L5 . Their dynamic mass estimations were obtained on the basis of processing more than 800 thousand observations of planets and spacecraft using the new version of the EPM2017-EPM2018 planetary ephemeris created at the IAA RAS: M_L4 = (7.27 ± 0.68)·10^-6 M_⊕; M_L5 = (5.27 ± 0.71)·10^-6 M_⊕.