包含双曲轨道的快速错误安全MOID计算
Fast error-safe MOID computation involving hyperbolic orbits
摘要:
我们扩展我们以前的算法计算最小轨道交点距离(MOID),包括双曲线轨道,椭圆-双曲线的混合组合。MOID是通过找到距离函数的所有固定点来计算的,相当于找到16次代数多项式方程的所有根。改进后的算法也存在数值误差,测试结果表明,改进后的算法具有较高的计算性能和数值可靠性。
英文摘要:
We extend our previous algorithm computing the minimum orbital intersection distance (MOID) to include hyperbolic orbits, and mixed combinations ellipse--hyperbola. The MOID is computed by finding all stationary points of the distance function, equivalent to finding all the roots of an algebraic polynomial equation of 16th degree. The updated algorithm carries about numerical errors as well, and benchmarks confirmed its numeric reliability together with high computing performance.
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