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  • stability and regions of motion in the restricted three-body problem when both the primaries are finite straight segments

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 1255
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     in this paper we have studied the locations and stability of the lagrangian equilibrium points in the restricted three-body problem under the assumption that both the primaries are finite straight segments. we have found that the triangular equilibrium points are conditional stable for 0<μ<μ c , and unstable in the range μ c <μ≤1/2, where μ is the mass ratio. the critical mass ratio μ c depends on the lengths of the segments and it is observed that the range of μ c increases when compared with the classical case. the collinear equilibrium points are unstable for all values of μ. we have also studied the regions of motion of the infinitesimal mass. it has been observed that the jacobian constant decreases when compared with the classical restricted three-body problem for a fixed value of μ and lengths l 1 and l 2 of the segments. beside this we have found the numerical values for the position of the collinear and triangular equilibrium points in the case of some asteroids systems: (i) 216 kleopatra-951 gaspara, (ii) 9 metis-433 eros, (iii) 22 kalliope-243 ida and checked the linear stability of stationary solutions of these asteroids systems.

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