The invention discloses an aircraft robust relative navigation method based on mixed distribution under non-
Gaussian noise, and belongs to the technical field of calculation, reckoning or counting. In order to solve the problem that non-stationary heavy
tail noise caused by a time-varying environment in a relative navigation process of an aircraft generally causes filtering
divergence, Dirichlet random mixed vectors are introduced to fuse
Gaussian, student t and multivariate K distribution, so that a
Gaussian-student t-multivariate K mixed distribution modeling measurement likelihood is provided; and then the KLD of the real
posterior probability density function and the approximate
posterior probability density function is minimized through the variational Bayesian technology to solve the
relative motion state of the aircraft and approximate posterior
estimation of filter parameters, the state quantity information of the target relative to the aircraft is obtained, and the relative position and speed are solved. Finally, a
nonlinear filter based on Gaussian-student t-multivariate K mixed distribution is deduced, the relative navigation precision is improved, and the
nonlinear filter is used for angle-measurement-only relative navigation of an aircraft in a time-varying environment.