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The main objective for this research was the analytical exploration of the dynamics of planar satellite rotation during the motion of an elliptical orbit around a planet. First, we revisit the results of J. Wisdom et al. (1984), in which,…

General Physics · Physics 2017-09-08 Sergey V. Ershkov

Satellite tracking involves sending electromagnetic signals to Earth. Both the orbit of the spacecraft and the electromagnetic signals themselves are affected by the curvature of spacetime. The arrival time of the pulses is compared to the…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Andreas Schärer , Ruxandra Bondarescu , Prasenjit Saha , Raymond Angélil , Ravit Helled , Philippe Jetzer

In this work a method for statistical analysis of time series is proposed, which is used to obtain solutions to some classical problems of mathematical statistics under the only assumption that the process generating the data is stationary…

Information Theory · Computer Science 2012-04-05 Daniil Ryabko , Boris Ryabko

Low Earth Orbit (LEO) optical satellite communication systems face performance challenges due to atmospheric effects such as scintillation, turbulence, wavefront distortion, beam spread, and jitter. This paper presents a comprehensive…

Instrumentation and Methods for Astrophysics · Physics 2025-12-29 Dhruv Shivkant , Shreyaans Jain , Rohit K Ramakrishnan

In this paper, we present a new method for computing approximate geodesic distances. We introduce the wave method for approximating geodesic distances from a point on a manifold mesh. Our method involves the solution of two linear systems…

Computational Geometry · Computer Science 2016-12-09 Ayushi Sinha , Michael Kazhdan

Recently, Ciufolini and coworkers announced the forthcoming launch of a new cannonball geodetic satellite in 2019. It should be injected in an essentially circular path with the same semimajor axis $a$ of LAGEOS, in orbit since 1976, and an…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Lorenzo Iorio

Parameter estimation for spatiotemporal dynamics for coupled map lattices and continuous time domain systems is shown using a combination of multiple shooting, Karhunen-Loeve decomposition and Galerkin's projection methodologies. The…

Chaotic Dynamics · Physics 2009-11-07 Anandamohan Ghosh , V. Ravi Kumar , B. D. Kulkarni

We compare the performance of mass estimators for elliptical galaxies that rely on the directly observable surface brightness and velocity dispersion profiles, without invoking computationally expensive detailed modeling. These methods…

Astrophysics of Galaxies · Physics 2015-05-27 N. Lyskova , J. Thomas , E. Churazov , S. Tremaine , T. Naab

This paper proposes a joint channel and data estimation (JCDE) algorithm for uplink multiuser extremely large-scale multiple-input-multiple-output (XL-MIMO) systems. The initial channel estimation is formulated as a sparse reconstruction…

Signal Processing · Electrical Eng. & Systems 2025-08-20 Kabuto Arai , Koji Ishibashi , Hiroki Iimori , Paulo Valente Klaine , Szabolcs Malomsoky

The K2 mission will make use of the Kepler spacecraft and its assets to expand upon Kepler's groundbreaking discoveries in the fields of exoplanets and astrophysics through new and exciting observations. K2 will use an innovative way of…

Low Earth Orbit (LEO) satellite constellations are emerging as a key component of non-terrestrial networks due to their low-latency and high-capacity communication capabilities. However, satellites in these orbits are characterized by a…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Alejandro Ramírez-Arroyo , Miguel Villanueva-Fernández , Preben Mogensen

Satellite communication networks operate under stringent computational constraints and are susceptible to sophisticated cyberattacks. This paper introduces a novel defense framework that decouples security optimization into ground-based…

Computer Science and Game Theory · Computer Science 2026-03-05 Yuzhou Xiao , Linan Huang , Jiachen Sun , Peilong Liu , Chunxiao Jiang , Linling Kuang

The paper presents a re-entry analysis of Geosynchronous Orbit (GSO) satellites on disposal trajectories that enhance the effects of the Earth oblateness and lunisolar perturbations. These types of trajectories can lead to a natural…

Earth and Planetary Astrophysics · Physics 2021-10-12 Mirko Trisolini , Camilla Colombo

Surface manipulation tasks require robots to generate trajectories that comprehensively cover complex 3D surfaces while maintaining precise end-effector poses. Existing ergodic trajectory optimization (TO) methods demonstrate success in…

Robotics · Computer Science 2026-05-26 Jiayun Li , Yufeng Jin , Sangli Teng , Dejian Gong , Georgia Chalvatzaki

Low Earth orbit (LEO) satellite constellations have become a critical enabler for global coverage, utilizing numerous satellites orbiting Earth at high speeds. By decomposing complex network services into lightweight service functions,…

Networking and Internet Architecture · Computer Science 2026-03-05 Li Zeng , Zixin Wang , Yuanming Shi , Khaled B. Letaief

Two satellites with mean orbital elements which differ only in terms of right ascension of the ascending node, argument of perigee, and mean anomaly are notable for having the same mean orbital element secular drift rates due to the J2…

Earth and Planetary Astrophysics · Physics 2021-02-15 Jackson Kulik

In the context of general perturbation theories, the main problem of the artificial satellite analyses the motion of an orbiter around an Earth-like planet, only perturbed by its equatorial bulge or J2 effect. By means of a Lie transform…

Space Physics · Physics 2019-02-15 Rosario López , Denis Hautesserres , Juan Félix San-Juan

When dealing with satellites orbiting a central body on a highly elliptical orbit, it is necessary to consider the effect of gravitational perturbations due to external bodies. Indeed, these perturbations can become very important as soon…

Earth and Planetary Astrophysics · Physics 2016-05-26 Guillaume Lion , Gilles Métris , Florent Deleflie

We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then…

Chaotic Dynamics · Physics 2007-05-23 Ch. L. Vozikis , H. Varvoglis , K. Tsiganis

We present a new method for quantifying the abundance of satellites around field galaxies and in groups. The method is designed to work with samples, such as local photometric redshift catalogues, that do not have full spectroscopic…

Astrophysics of Galaxies · Physics 2021-12-21 Chengyu Xi , James E. Taylor