Analytical Nonlinear Propagation of Uncertainty in the Two-Body Problem

被引:79
作者
Fujimoto, K. [1 ]
Scheeres, D. J. [1 ]
Alfriend, K. T. [2 ]
机构
[1] Univ Colorado, Dept Aerosp Engn Sci, Boulder, CO 80309 USA
[2] Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USA
关键词
ORBIT;
D O I
10.2514/1.54385
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
One topic of recent interest in the field of space situational awareness is the accurate and consistent representation of an observed object's uncertainty under nonlinear dynamics. This paper presents a method of analytical nonlinear propagation of uncertainty under two-body dynamics. In particular, the probability density function over state space and its mean and covariance matrix are expressed analytically for all time via a special solution of the Fokker-Planck equations for deterministic Hamiltonian systems. The state transition tensor concept is used to express the solution flow of the dynamics. Some numerical examples, where a second-order state transition tensor is found to sufficiently capture the nonlinear effects, are also discussed.
引用
收藏
页码:497 / 509
页数:13
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