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We investigate the evolution of families of periodic orbits in a bisymmetrical potential made up of a two-dimensional harmonic oscillator with only one quartic perturbing term, in a number of resonant cases. Our main objective is to compute…

Chaotic Dynamics · Physics 2013-07-09 Euaggelos E. Zotos

In spite of planetary resonances being a common dynamical mechanism acting on planetary systems, no general model exists for describing their properties, particularly for commensurabilities of any order and arbitrary values of the…

Earth and Planetary Astrophysics · Physics 2021-02-24 Tabaré Gallardo , Cristián Beaugé , Cristian A. Giuppone

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order normal form constructions, we provide three different…

Dynamical Systems · Mathematics 2021-10-13 Irene De Blasi , Alessandra Celletti , Christos Efthymiopoulos

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

In recent years, due to the constant increase of the density of satellites in the space environment, several studies have been focused on the development of active and passive strategies to remove and mitigate space debris. This work…

Earth and Planetary Astrophysics · Physics 2022-03-01 Christian Fusaro , Mirko Trisolini , Camilla Colombo

We describe systematic ranging, an orbit determination technique especially suitable to assess the near-term Earth impact hazard posed by newly discovered asteroids. For these late warning cases, the time interval covered by the…

Earth and Planetary Astrophysics · Physics 2015-07-15 D. Farnocchia , S. R. Chesley , M. Micheli

Digital co-addition of astronomical images is a common technique for increasing signal-to-noise and image depth. A modification of this simple technique has been applied to the detection of minor bodies in the Solar System: first stationary…

Earth and Planetary Astrophysics · Physics 2015-05-18 Alex H. Parker , JJ. Kavelaars

We report new methods for evaluating realistic observing programs that search stars for planets by direct imaging, where observations are selected from an optimized star list, and where stars can be observed multiple times. We show how…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Robert A. Brown , Remi Soummer

We aim to provide satellite operators and researchers with an efficient means for evaluating and mitigating collision risk during the design process of mega-constellations. We first establish a baseline for evaluating various techniques for…

Earth and Planetary Astrophysics · Physics 2021-05-12 Nathan Reiland , Aaron J. Rosengren , Renu Malhotra , Claudio Bombardelli

Low-latency delivery of satellite imagery is essential for time-critical applications such as disaster response, intelligence, and infrastructure monitoring. However, traditional pipelines rely on downlinking all captured images before…

Machine Learning · Computer Science 2026-04-21 Ansel Kaplan Erol , Seungjun Lee , Divya Mahajan

We propose an approach to estimate the 6DOF pose of a satellite, relative to a canonical pose, from a single image. Such a problem is crucial in many space proximity operations, such as docking, debris removal, and inter-spacecraft…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Bo Chen , Jiewei Cao , Alvaro Parra , Tat-Jun Chin

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

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

The geometric calibration of the Planck satellite is investigated, specifically those parameters which require the use of the science data for their extraction. Methods for the recovery of these geometric-calibration parameters from point…

Astrophysics · Physics 2009-11-11 D. L. Harrison , F. van Leeuwen

Agile attitude maneuvering maximizes the utility of remote sensing satellite constellations. By taking into account a satellite's physical properties and its actuator specifications, we may leverage the full performance potential of the…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Emmanuel Sin , Sreeja Nag , Vinay Ravindra , Alan Li , Murat Arcak

A method is described to model the magnetic field in the vicinity of constellations of multiple satellites using field and plasma current measurements. This quadratic model has the properties that the divergence is zero everywhere and…

In this article, theory-based analytical methodologies of astrophysics employed in the modern era are suitably operated alongside a test research-grade telescope to image and determine the orbit of a near-earth asteroid from original…

Earth and Planetary Astrophysics · Physics 2021-09-16 Muhammad Farae , Cameron Woo , Anka Hu

To study the orbits of satellites, a galaxy could be modelled either by means of a static gravitational potential, or by live $N$-body particles. Analytic potentials allow for fast calculations, but are idealized and non-responsive. On the…

Astrophysics of Galaxies · Physics 2025-06-18 Rubens E. G. Machado , Giovanni C. Tauil , Nicholas Schweder-Souza

We describe a Bayesian sampling model for linking and constraining orbit models from angular observations of "streaks" in optical telescope images. Our algorithm is particularly suited to situations where the observation times are small…

Space Physics · Physics 2015-06-03 Michael D. Schneider
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