matlab 函数修正
时间: 2023-11-06 15:57:00 浏览: 31
您可以使用下面的 MATLAB 函数来修正给定修改后的春分坐标系中的输入轨道状态:
```matlab
function [a_correction] = compute_gravity_correction(state)
% 参数定义
J2 = 1.0826267e-3; % J2项系数
J3 = -2.5327e-6; % J3项系数
J4 = -1.61e-6; % J4项系数
% 计算加速度修正
r = norm(state(1:3)); % 卫星位置的模
a_correction = zeros(3, 1);
a_correction(1) = -3/2 * J2 * (6378.137^2 / r^4) * (state(1) / r) * (5 * (state(3) / r)^2 - 1);
a_correction(2) = -3/2 * J2 * (6378.137^2 / r^4) * (state(2) / r) * (5 * (state(3) / r)^2 - 1);
a_correction(3) = -3/2 * J2 * (6378.137^2 / r^4) * (state(3) / r) * (5 * (state(3) / r)^2 - 3);
a_correction = a_correction + 3 * J3 * (6378.137^3 / r^5) * state(3) * (state(1:2) / r);
a_correction = a_correction + J4 * (6378.137^4 / r^6) * (35 * (state(3) / r)^3 - 30 * (state(3) / r)) * state(1:2) / r;
end
```