Periodic orbit escape method by utilizing near-earth-moon balance points
A technology of periodic orbits and equilibrium points, applied in the aerospace field, can solve the problems of low escape efficiency and increased fuel consumption, and achieve the effects of simple correction process, low fuel consumption, and improved correction efficiency.
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[0044] Such as figure 1 As shown, a method for escaping from a periodical orbit using the balance point near the earth and the moon disclosed in this embodiment, the specific implementation steps are as follows:
[0045] Step 1: Establish the earth-moon rotating coordinate system and three-body dynamics, and solve the eigenvalues and eigenvectors of the state transition matrix of the periodic orbit.
[0046] Choose the center of mass of the Earth-Moon system as the origin to establish a coordinate system, choose the X-axis as the direction connecting the Earth and the Moon, point from the Earth to the Moon, and the Z-axis is the angular velocity direction of the system rotation, and the Y-axis is perpendicular to the X and Z axes to form a right-handed coordinate system ;
[0047] The kinetic equation of the detector under this system is expressed as,
[0048]
[0049] where μ=m 2 / (m 1 +m 2 ) represents the mass coefficient of the system, m 1 is the mass of the ear...
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