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In recent years, computer simulators of rigid-body systems have been successfully used to improve and expand the field of developing new space robots, becoming a leading tool for the preliminary investigation and evaluation of space robotic…

Robotics · Computer Science 2023-04-26 Simone Asci , Angadh Nanjangud

We present a proof of concept for a new algorithm which can be used to detect exoplanets in high contrast images. The algorithm properly combines mutliple observations acquired during different nights, taking into account the orbital motion…

Instrumentation and Methods for Astrophysics · Physics 2018-08-01 M. Nowak , H. Le Coroller , L. Arnold , K. Dohlen , D. Estevez , T. Fusco , J. -F. Sauvage , A. Vigan

In celestial mechanics, proper orbits related to missions are obtained by solving two-point boundary value problems. Since a selection method of initial value affects the convergence of the solution, developing an effective method to find…

Optimization and Control · Mathematics 2025-06-18 Daegyun Choi , Sungwook Yang , Henzeh Leeghim , Donghoon Kim

Today, the motion of spacecrafts is still described according to the classical Newtonian equations plus the so-called "relativistic corrections", computed with the required precision using the Post-(Post-)Newtonian formalism. The current…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Pireaux , J-P. Barriot , P. Rosenblatt

We propose a novel method that tracks fast moving objects, mainly non-uniform spherical, in full 6 degrees of freedom, estimating simultaneously their 3D motion trajectory, 3D pose and object appearance changes with a time step that is a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Denys Rozumnyi , Jan Kotera , Filip Sroubek , Jiri Matas

In many applications of autonomous mobile robots the following problem is encountered. Two maps of the same environment are available, one a prior map and the other a sensor map built by the robot. To benefit from all available information…

Robotics · Computer Science 2018-07-03 Saeed Gholami Shahbandi , Martin Magnusson

The accuracy of astrometric observations conducted via a space-borne optical interferometer orbiting the Earth is expected to approach a few microarcseconds. Data processing of such extremely high-precision measurements requires access to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin , N. V. Shuygina , M. V. Vasilyev , E. I. Yagudina , L. I. Yagudin

How do galaxies move relative to one another? While we can examine the motion of dark matter subhalos around their hosts in simulations of structure formation, determining the orbits of satellites around their parent galaxies from…

Astrophysics of Galaxies · Physics 2015-10-21 David Hendel , Kathryn V. Johnston

If an orbit is fitted from combined RV and astrometric data, the orbit should be physically consistent with both data sets. The Keplerian orbit of a planet is a highly nonlinear function of seven parameters. The astrometric orbit problem…

Earth and Planetary Astrophysics · Physics 2010-08-23 Joseph H. Catanzarite

Given two elements of a vector space acted on by a reductive group, we ask whether they lie in the same orbit, and if not, whether one lies in the orbit closure of the other. We develop techniques to optimize the orbit and orbit closure…

Algebraic Geometry · Mathematics 2020-06-23 Eunice Sukarto

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [9]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a…

Dynamical Systems · Mathematics 2025-10-20 J. W. Demmel , L. Dieci , M. J. Friedman

A popular intermediary in the theory of artificial satellites is obtained after the elimination of parallactic terms from the J2-problem Hamiltonian. The resulting quasi-Keplerian system is in turn converted into the Kepler problem by a…

Dynamical Systems · Mathematics 2023-05-17 Martin Lara , Alessandro Masat , Camilla Colombo

Most mobile robots for indoor use rely on 2D laser scanners for localization, mapping and navigation. These sensors, however, cannot detect transparent surfaces or measure the full occupancy of complex objects such as tables. Deep Neural…

Robotics · Computer Science 2020-09-04 Francesco Verdoja , Jens Lundell , Ville Kyrki

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

A new technique that utilizes surface integrals to find the force, torque and potential energy between two non-spherical, rigid bodies is presented. The method is relatively fast, and allows us to solve the full rigid two-body problem for…

Earth and Planetary Astrophysics · Physics 2021-10-22 Alex Ho , Margrethe Wold , John T. Conway , Mohammad Poursina

Given the critical roles that satellites play in national defense, public safety, and worldwide communications, finding ways to determine satellite trajectories is a crucially important task for improved space situational awareness.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Rohit Khorana

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

In this work we present a new methodology for orbit propagation, the hybrid perturbation theory, based on the combination of an integration method and a prediction technique. The former, which can be a numerical, analytical or…

Space Physics · Physics 2016-05-31 Juan Félix San-Juan , Montserrat San-Martín , Iván Pérez , Rosario López

The significant expansion of the orbital debris population poses a serious threat to the safety and sustainability of space operations. This paper investigates orbital debris remediation through a constellation of collaborative space-based…

Optimization and Control · Mathematics 2026-03-30 David O. Williams Rogers , Matthew C. Fox , Paul R. Stysley , Hang Woon Lee

The study of multiple extrasolar planetary systems has the opportunity to obtain constraints for the planetary masses and orbital inclinations via the detection of mutual perturbations. The analysis of precise radial velocity measurements…

Earth and Planetary Astrophysics · Physics 2015-05-19 András Pál