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### A BF-regularization of a nonstationary two-body problem under the Maneff perturbing potential.

Extracta Mathematicae

The process of transforming singular differential equations into regular ones is known as regularization. We are specially concerned with the treatment of certain systems of differential equations arising in Analytical Dynamics, in such a way that, accordingly, the regularized equations of motion will be free of singularities.

### An ODE-Solver Based on the Method of Averaging.

Numerische Mathematik

### Attitude control of spacecraft

Banach Center Publications

### Coplanar control of a satellite around the earth

ESAIM: Control, Optimisation and Calculus of Variations

We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

### Coplanar control of a satellite around the Earth

ESAIM: Control, Optimisation and Calculus of Variations

We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

### Eight-shaped Lissajous orbits in the Earth-Moon system

MathematicS In Action

Euler and Lagrange proved the existence of five equilibrium points in the circular restricted three-body problem. These equilibrium points are known as the Lagrange points (Euler points or libration points) ${L}_{1},...,{L}_{5}$. The existence of families of periodic and quasi-periodic orbits around these points is well known (see [20, 21, 22, 23, 37]). Among them, halo orbits are 3-dimensional periodic orbits diffeomorphic to circles. They are the first kind of the so-called Lissajous orbits. To be selfcontained,...

### Estabilidad orbital de satélites estacionarios.

Revista Matemática de la Universidad Complutense de Madrid

For a satellite about an oblate planet in rotation about its axis of greatest inertia, conditions are given under which there may appear, in a frame fixed in the planet, two positions of equilibria with characteristic exponents that are purely imaginary. In which case, after appropriate normalization by Lie transformation executed mechanically through a symbolic algebraic processor, the theorem of Arnold about non definite quadratic forms is applied. It is concluded that the equilibria are stable...

### Forced second order conservative systems with periodic nonlinearity

Annales de l'I.H.P. Analyse non linéaire

### Homotopy method for minimum consumption orbit transfer problem

ESAIM: Control, Optimisation and Calculus of Variations

The numerical resolution of the low thrust orbital transfer problem around the Earth with the maximization of the final mass or minimization of the consumption is investigated. This problem is difficult to solve by shooting method because the optimal control is discontinuous and a homotopic method is proposed to deal with these difficulties for which convergence properties are established. For a thrust of 0.1 Newton and a final time 50% greater than the minimum one, we obtain 1786 switching times....

### Il problema dell'orientamento nello spazio di un satellite artificiale

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We examine the problem of the satellite orientation by means of proper gyroscopes actuated by eletric motors.

### Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

Séminaire Laurent Schwartz — EDP et applications

In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.

### Non-complete integrability of a satellite in circular orbit.

Portugaliae Mathematica. Nova Série

### On some new treatment of artificial satellite's motion.

Publications de l'Institut Mathématique [Elektronische Ressource]

### On the evection resonance and its connection to the stability of outer satellites.

Mathematical Problems in Engineering

### Orbital maneuvers using low thrust to place a satellite in a constellation.

Mathematical Problems in Engineering

### Realisation of rendezvous by the transfer orbit which is tangential to the original and terminal orbits

Aplikace matematiky

### Reconstruction of the satellite orbit via orientation angles.

Journal for Geometry and Graphics

### Simple orbit determination using GPS based on a least-squares algorithm employing sequential Givens rotations.

Mathematical Problems in Engineering

### Stability and control in spacecraft dynamics.

Journal of Lie Theory

### Su una classe di precessioni semiregolari del satellite girostatico in orbita circolare

Rendiconti del Seminario Matematico della Università di Padova

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