METHOD FOR CONSTRUCTING A FREE TRAJECTORY OF A BALLISTIC MISSILE AT A SPECIFIED LAUNCH ANGLE

    公开(公告)号:US20220100926A1

    公开(公告)日:2022-03-31

    申请号:US17435405

    申请日:2020-07-16

    摘要: A method for constructing a free trajectory of a ballistic missile at a specified launch angle includes: setting of an initial state of iterations: based on geodetic coordinates of a launch point and a target point, a launch epoch and the specified launch angle, assuming that the earth does not rotate and a flight time is zero; generating a new flight time in a two-body force model by using known quantities and obtained auxiliary quantities; taking a difference between flight times obtained before and after the iterations as a condition for judging convergence; outputting designed parameters of the ballistic missile after the convergence is reached, or performing a differential correction including the J2 perturbation to improve the precision of the trajectory constructed, and taking a position error of the target point as a convergence condition of the differential correction.

    METHOD FOR ACCURATELY AND EFFICIENTLY CALCULATING DENSE EPHEMERIS OF HIGH-ECCENTRICITY ORBIT

    公开(公告)号:US20220091277A1

    公开(公告)日:2022-03-24

    申请号:US17435404

    申请日:2020-07-16

    发明人: Jin XU Zhijun DAI

    IPC分类号: G01S19/27 G06F17/13

    摘要: A method for accurately and efficiently calculating a dense ephemeris of a high-eccentricity orbit is provided. With respect to the ephemeris calculation of the high-eccentricity orbit, the method constructs uneven interpolation nodes through time transformation and interpolates by an interpolation polynomial based on uneven interpolation nodes to obtain a dense ephemeris, which significantly improves the calculation efficiency and accuracy. Based on a large-scale numerical experiment, the method derives an optimal universal value (that is, 0.3) of a transformation parameter for all orbital eccentricities and various interpolation polynomials. In the case of using the optimal universal value of the transformation parameter δ, the method further verifies the Hermite interpolation polynomial as the preferable one among various interpolation polynomials.