Satellite conjunction analysis is the assessment of collision risk during a close encounter
between a satellite and another object in orbit. A counterintuitive phenomenon has emerged …

An important activity within Space Traffic Management is the detection and prevention of
possible on-orbit collisions between space objects. The principal parameter for assessing …

This paper explores the construction of a collision assessment method exploiting an
alternative to probability theory for the representation and quantification of uncertainty of the …

Sample-based computation of the joint-time probability of collision motivates developing the
Mahalanobis Shell Sampling (MSS) algorithm, which samples nondegenerate normal …

Satellite conjunctions involving “near misses” of space objects are becoming increasingly
likely. One approach to risk analysis for them involves the computation of the collision …

A great deal of effort has been put into improving the practice of space situational awareness
such that covariance data associated with predicted close approaches is more “realistic.” …

A number of different conjunction assessment (CA) risk analysis methods and metrics have
been proposed in the critical literature, and they vary widely in purport and form. However …

The growing interest for constellation of small, less expensive satellites is bringing space
junk and traffic management to the attention of space community. At the same time, the …

Higher-order asymptotics provide accurate approximations for use in parametric statistical
modelling. In this thesis, we investigate using higher-order approximations in two-specific …