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This paper presents a novel algorithm to incorporate orbital parameters into radar ambiguity function expressions by extending the standard ambiguity function to match Keplerian two-body orbits. A coherent orbital matched-filter will…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Brendan Hennessy , Mark Rutten , Steven Tingay , Robert Young

We show that short-term perturbations among massive planets in multiple planet systems can result in radial velocity variations of the central star which differ substantially from velocity variations derived assuming the planets are…

Astrophysics · Physics 2009-11-06 Gregory Laughlin , John E. Chambers

In this work, we explore how to classify asteroids in co-orbital motion with a given planet using Machine Learning. We consider four different kinds of motion in mean motion resonance with the planet, nominally Tadpole, Horseshoe and…

Earth and Planetary Astrophysics · Physics 2023-09-20 Giulia Ciacci , Andrea Barucci , Sara Di Ruzza , Elisa Maria Alessi

Closed-Form Kepler solutions in projective coordinates are used to define a corresponding set of eight orbit elements and obtain their governing equations for arbitrarily-perturbed two-body dynamics. The elements and their dynamics are…

Earth and Planetary Astrophysics · Physics 2026-01-16 Joseph T. A. Peterson , Manoranjan Majji , John L. Junkins

The aim of the present paper is to study the dynamics of a dumbbell satellite moving in a gravity field generated by an oblate body considering the effect of the zonal harmonic parameter. We prove that the pass trajectory of the mass center…

Earth and Planetary Astrophysics · Physics 2016-11-18 Elbaz I. Abouelmagd , Juan L. G. Guirao , Juan A. Vera

The robustness and accuracy of a vision system for motion estimation of a tumbling target satellite are enhanced by an adaptive Kalman filter. This allows a vision-guided robot to complete the grasping of the target even if occlusion occurs…

Robotics · Computer Science 2022-11-08 Farhad Aghili

We are reinvestigating the hyperfine structure of sodium using a fully relativistic multiconfiguration approach. In the fully relativistic approach, the computational strategy somewhat differs from the original nonrelativistic counterpart…

Aims. With the purpose of determining the orbital parameters of exoplanetary systems from observational data, we have developed a software, named TRADES (TRAnsits and Dynamics of Exoplanetary Systems), to simultaneously fit observed radial…

Earth and Planetary Astrophysics · Physics 2014-11-05 Luca Borsato , Francesco Marzari , Valerio Nascimbeni , Giampaolo Piotto , Valentina Granata , Luigi Rolly Bedin , Luca Malavolta

Extreme mass-ratio inspirals, in which solar-mass compact bodies spiral into supermassive black holes, are an important potential source for gravitational wave detectors. Because of the extreme mass-ratio, one can model these systems using…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Adam Pound

Nonrelativistic conformal groups, indexed by l=N/2, are analyzed. Under the assumption that the "mass" parametrizing the central extension is nonvanishing the coadjoint orbits are classified and described in terms of convenient variables.…

Mathematical Physics · Physics 2015-06-04 K. Andrzejewski , J. Gonera , P. Maslanka

Proper elements are quasi-invariants of a Hamiltonian system, obtained through a normalization procedure. Proper elements have been successfully used to identify families of asteroids, sharing the same dynamical properties. We show that…

Earth and Planetary Astrophysics · Physics 2022-04-06 Alessandra Celletti , Giuseppe Pucacco , Tudor Vartolomei

In this paper, we design a nonlinear observer to estimate the inertial pose and the velocity of a free-floating non-cooperative satellite (Target) using only relative pose measurements. In the context of control design for orbital robotic…

Robotics · Computer Science 2019-11-27 Hrishik Mishra , Marco De Stefano , Alessandro Massimo Giordano , Christian Ott

We study a more complex case of Hohmann orbital transfer of a satellite by considering non-coplanar and elliptical orbits, instead of planar and circular orbits. We use as parameter the angle between the initial and transference planes that…

Earth and Planetary Astrophysics · Physics 2015-09-21 Angel Rincon , Patricio Rojo , Elvis Lacruz , Gabriel Abellan , Sttiwuer Diaz

Motion of a point mass in gravitational fields of the Sun and of the galactic disk is studied. Fundamental features of the motion are found by investigating the time-averaged differential equations for orbital evolution. Several types of…

Astrophysics · Physics 2007-05-23 Jozef Klacka , Martin Gajdosik

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

Orbit-determination programs find the orbit solution that best fits a set of observations by minimizing the RMS of the residuals of the fit. For near-Earth asteroids, the uncertainty of the orbit solution may be compatible with trajectories…

Earth and Planetary Astrophysics · Physics 2021-08-09 Javier Roa , Davide Farnocchia , Steven R. Chesley

Adaptive structures are characterized by their ability to adjust their geometrical and other properties to changing loads or requirements during service. This contribution deals with a method for the design of quasi-static motions of…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Renate Sachse , Manfred Bischoff

Kepler's orbits with corrections due to Special Relativity are explored using the Lagrangian formalism. A very simple model includes only relativistic kinetic energy by defining a Lagrangian that is consistent with both the relativistic…

Earth and Planetary Astrophysics · Physics 2016-04-21 Tyler J. Lemmon , Antonio R. Mondragon

A new method for the line-of-sight velocity estimation of a high-speed near-Earth object (asteroid, meteorite) is suggested. The method is based on use of fractional, one-half order derivative of a Doppler signal. The algorithm suggested is…

Earth and Planetary Astrophysics · Physics 2015-06-17 V. D. Zakharchenko , I. G. Kovalenko

In a planetary or satellite system, idealized as n small bodies in initially coplanar, concentric orbits around a large central body, obeying Newtonian point-particle mechanics, resonant perturbations will cause dynamical evolution of the…

Astrophysics · Physics 2014-02-04 R. Bass , A. Del Popolo
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