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We introduce a new method to perform preliminary orbit determination for space debris on low Earth orbits (LEO). This method works with tracks of radar observations: each track is composed by $n\ge 4$ topocentric position vectors per pass…

Mathematical Physics · Physics 2015-01-30 Giovanni F. Gronchi , Linda Dimare , Davide Bracali Cioci , Helene Ma

In this paper, we consider a satellite orbiting in a Manev gravitational potential under the influence of an atmospheric drag force that varies with the square of velocity. Using an exponential atmosphere that varies with the orbital…

Earth and Planetary Astrophysics · Physics 2015-06-12 Samantha Kirk , Ioannis Haranas , Ioannis Gkigkitzis

We present a framework for networked state estimation, where systems encode their (possibly high dimensional) state vectors using a mutually agreed basis between the system and the estimator (in a remote monitoring unit). The basis…

Systems and Control · Computer Science 2013-07-02 Farhad Farokhi , Amirpasha Shirazinia , Karl H. Johansson

We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm,…

Space Physics · Physics 2015-05-14 D. Farnocchia , G. Tommei , A. Milani , A. Rossi

Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers…

Dynamical Systems · Mathematics 2022-07-26 Alexey Bobtsov , Nikolay Nikolaev , Olga Slita , Olga Kozachek

Schroedinger investigated entanglement in two-particle state vectors by assuming measurement finding out if the nearby particle is in a given state vector or not. Without interaction with the distant particle, just on account of the…

Quantum Physics · Physics 2009-02-02 Fedor Herbut

The project SYPOR wishes to use the global navigation satellite system GALILEO as an autonomous relativistic positioning system for the Earth. Motivations and a sketch of the basic concepts underlying the project are presented. For non…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolomé Coll

Quantum correlation is a fundamental property which distinguishes quantum systems from classical ones, and it is also a fragile resource under projective measurement. Recently, it has been shown that a subsystem in entangled pairs can share…

Quantum Physics · Physics 2021-02-25 Kun Liu , Tongjun Liu , Wei Fang , Jian Li , Qin Wang

Low Earth orbit (LEO) satellites offer a promising alternative to global navigation satellite systems for precise positioning; however, their relatively low altitudes make them more susceptible to orbital perturbations, which in turn…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Jie Ma , Pinjun Zheng , Xing Liu , Yuchen Zhang , Ali A. Nasir , Tareq Y. Al-Naffouri

Although gravitational waves are now routinely observed, the detection of individual gravitons has long been regarded as impossible. Recent work, however, has demonstrated that single-graviton detection can be achieved and may be feasible…

Quantum Physics · Physics 2026-02-11 Kristian Toccacelo , Thomas Beitel , Ulrik Lund Andersen , Igor Pikovski

This work presents an objective, repeatable, automatic, and fast methodology for assessing the representativeness of geophysical variables sampled by Earth-observing satellites. The primary goal is to identify and mitigate potential…

Computational Engineering, Finance, and Science · Computer Science 2025-10-14 Negin Esmaeili , Paul T. Grogan

State and measurement tomography make assumptions about the experimental states or measurements. These assumptions are often not justified because state preparation and measurement errors are unavoidable in practice. Here we describe how…

Quantum Physics · Physics 2015-02-12 Cyril Stark

An observer-based Hamiltonian identification algorithm for quantum systems has been proposed recently by Bonnabel et al. The later paper provided a method to estimate the dipole moment matrix of a quantum system requiring the measurement of…

Quantum Physics · Physics 2012-02-27 Zaki Leghtas , Mazyar Mirrahimi , Pierre Rouchon

Guided missile accuracy and precision is negatively impacted by seeker delay, more specifically by the delay introduced by a mechanical seeker gimbal and the computational time taken to process the raw data. To meet the demands and…

Systems and Control · Electrical Eng. & Systems 2024-11-14 W. K. Smithson , Xinhua Wang

A pure two-body problem has seven integrals including the Kepler energy, the Laplace vector, and the angular momentum vector. However, only five of them are independent. When the five independent integrals are preserved, the two other…

Earth and Planetary Astrophysics · Physics 2020-12-02 Yue Chen , Da-Zhu Ma , Fang Xia

The algorithm is described, which have been used for photo-polarimetric monitoring of various astronomical objects - cataclysmic variables, asteroids, comets.

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 Sergey V. Kolesnikov , Vitalii V. Breus , Nickolay N. Kiselev , Ivan L. Andronov

Visual tracking algorithms are naturally adopted in various applications, there have been several benchmarks and many tracking algorithms, more expected to appear in the future. In this report, I focus on single object tracking and revisit…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Zan Huang

The photometric precision, monitoring baselines, and rapid, even sampling rates required by modern satellites designed for detecting the signal of transiting exoplanets are ideally suited to a large number of applications in high-energy…

Instrumentation and Methods for Astrophysics · Physics 2019-04-22 Krista Lynne Smith

We present a method of modeling the radial velocity (RV) measurements which can be useful in searching for planets hosted by chromospherically active stars. We assume that the observed RV signal is induced by the reflex motion of a star as…

Solar and Stellar Astrophysics · Physics 2015-05-13 Cezary Migaszewski , Grzegorz Nowak

Several celestial bodies in co-orbital configurations exist in the solar system. However, co-orbital exoplanets have not yet been discovered. This lack may result from a degeneracy between the signal induced by co-orbital planets and other…

Earth and Planetary Astrophysics · Physics 2016-03-28 Adrien Leleu , Philippe Robutel , Alexandre C. M. Correia