We implement a novel and robust approach for meteor orbit determination.
We analyze possible factors perturbing meteoroid orbit and their influence on the derived orbital elements.
We strictly calculate propagation of error based on general rule of covariance transformation.
We test the method using published data and apply it to the selected cases from the Finnish Fireball Network.
We introduce 'Meteor Toolkit' - developed software for meteor orbit computation and make it available as a supplementary resource.