Relative Motion of Formation Flying with Elliptical Reference Orbit

Theona Theory of Relative Satellite Motion Flying in the Formation

Satellite formation flights are considered in the past few years as an effective alternative to large expensive satellites. The dynamics of relative satellite motion flying in the formation is complex and requires detailed study. This paper presents the approach based on the THEONA semi-analytical satellite theory and developed for orbits with arbitrary values of the eccentricity. The intermedi...

Hamilton-Jacobi modelling of relative motion for formation flying.

A precise analytic model for the relative motion of a group of satellites in slightly elliptic orbits is introduced. With this aim, we describe the relative motion of an object relative to a circular or slightly elliptic reference orbit in the rotating Hill frame via a low-order Hamiltonian, and solve the Hamilton-Jacobi equation. This results in a first-order solution to the relative motion id...

Electromagnetic Formation Flying with Eccentric Reference Orbits

High Accuracy Relative Motion of Spacecraft Using Linearized Time-Varying J2-Perturbed Terms

This paper presents a set of linearized equations was derived for the motion, relative to an elliptical reference orbit, of an object influenced by J2 perturbation terms. Approximate solution for simulations was used to compare these equations and the linearized keplerian equations to the exact equations. The inclusion of the linearized perturbations in the derived equations increased the high ...

Closed Relative Trajectories for Formation Flying with Single-Input Control

1 Centre for Aerospace Science and Technologies, Department of Electromechanical Engineering, University of Beira Interior, Calçada Fonte do Lameiro, 6201-001 Covilhã, Portugal 2 Orientation and Motion Control Department, Keldysh Institute of Applied Mathematics, Miusskaya pl. 4, Moscow 125047, Russia 3 Centre of Physics, Department of Mathematics and Applications, School of Sciences, Universit...