Small celestial body attachment detection descending trajectory optimization method
A trajectory optimization, small celestial body technology, applied in the field of aerospace, can solve problems such as poor efficiency of gravitational acceleration, difficulty in estimating and solving initial co-state values, etc., to avoid complex derivation, simple derivation steps, and high computational efficiency.
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[0054] A method for optimizing the descent trajectory of small celestial body attachment detection, comprising the following steps:
[0055] Step 1. Estimate the spherical harmonic coefficients of the inner spherical harmonic gravitational field model by the least square method:
[0056] The inner Brillouin sphere is constructed outside the small celestial body, and the constructed inner Brillouin sphere should be tangent to the target landing point on the surface of the small celestial body, and the center of the sphere should be selected to ensure that the landing trajectory of the lander is included in the inner Brillouin sphere. Take N arbitrarily inside the Nebrillouin sphere data points, N calculated by the polyhedron model data point gravitational acceleration, and construct 3N from the gravitational acceleration data ×1-dimensional matrix The spherical harmonic coefficients of the inner spherical harmonic gravity model are calculated by the least square method.
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