Analytical Solution for Formation Flying Problem near Equatorial-Circular Reference Orbit

Possible Orbit Scenarios for an InSAR Formation Flying Microsatellite Mission

Multistatic interferometric synthetic aperture radar (InSAR) is a promising future payload for a small satellite constellation, providing a low-cost means of augmenting proven “large” SAR mission technology. The Space Flight Laboratory at the University of Toronto Institute for Aerospace Studies is currently designing CanX-4 and CanX-5, a pair of formation-flying nanosatellites slated for launc...

Electromagnetic Formation Flying with Eccentric Reference Orbits

Analytical Solution to the Three Dimensional Electrical Forward Problem for a Circular Cylinder

In this paper, two techniques namely Mode Matching technique and Green’s function technique are used to solve analytically the Forward Problem for a finite right circular cylinder. These techniques are compared in terms of analytical derivation and numerical results.

An analytical solution for Kepler’s problem

In this paper we present a framework which provides an analytical (i.e., infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits all singular variables which otherwise would yield discontinuities. This method is based on two simple real functions for which the derivative rules are only...

Analytical Solution for Sound Radiation of Vibrating Circular Plates coupled with Piezo-electric Layers

In the present study, the classical plate theory (CPT) was used to study sound radiation of forced vibrating thin circular plates coupled with piezoelectric layers using simply supported and clamped boundary conditions. The novelty of the study consists of an exact closed-form solution that was developed without any use of approximation. Piezoelectric, electrical potential loaded in the transve...