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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

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

The Earth itself is not stationary but keeps revolving, and its motion further satisfies the law of equal area according to the heliocentric doctrine. That satisfaction can be used to construct the mathematical relationships between the…

Classical Physics · Physics 2014-11-07 W. Y. Hsiang , H. C. Chang , H. Yao , P. S. Lee

We present here a new solution for the astronomical computation of the orbital motion of the Earth spanning from 0 to -250 Myr. The main improvement with respect to the previous numerical solution La2004 (Laskar et al. 2004) is an improved…

Earth and Planetary Astrophysics · Physics 2016-10-05 J. Laskar , A. Fienga , M. Gastineau , H. Manche

This paper aims to obtain an analytic approximation to the evolution of circular orbits governed by the Earth's $J_2$ and the luni-solar gravitational perturbations. Assuming that the lunar orbital plane coincides with the ecliptic plane,…

Earth and Planetary Astrophysics · Physics 2017-03-22 Ting-Lei Zhu , Chang-Yin Zhao , Ming-Jiang Zhang

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the…

Numerical Analysis · Mathematics 2023-01-04 Eleonora Denich , Paolo Novati , Stefano Picotti

Understanding the orientation of geological structures is crucial for analyzing the complexity of the Earths' subsurface. For instance, information about geological structure orientation can be incorporated into local anisotropic…

Geophysics · Physics 2024-09-10 Ali Gholami , Silvia Gazzola

An analytical method is proposed in this work for verification whether an artificial earth satellite during its orbital motion passes over a region of the earth surface. The method is based on undisturbed Keppler's approximation of the…

Space Physics · Physics 2010-02-12 Atanas Marinov Atanassov

Detailed calculations of spin rotation by the Earth's gravitational field in a frozen-spin ring are presented in three different coordinate systems and used (a) to show that the systematic error caused by gravitation in a proposed electric…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Yuri F. Orlov , Eanna Flanagan , Yannis K. Semertzidis

Kepler's laws of planetary motion are acknowledged as highly significant to the construction of universal gravitation. The present study demonstrates different ways to derive the law of equal areas for the Earth by general geometrical and…

History and Philosophy of Physics · Physics 2015-05-28 Wu-Yi Hsiang , Hai-Chau Chang , Herng Yao , Pon-Jen Chen

There are different kinds of intensity measures to characterize the main properties of the earthquake records. This paper proposes a simulation-based approach to compute correlation coefficients of motion duration and intensity measures of…

Geophysics · Physics 2020-06-09 Mojtaba Harati , Mohammadreza Mashayekhi , Homayoon E. Estekanchi

Due to the importance of satellites for society and the exponential increase in the number of objects in orbit, it is important to accurately determine the state (e.g., position and velocity) of these Resident Space Objects (RSOs) at any…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Ricardo Ferreira , Marta Guimarães , Filipa Valdeira , Cláudia Soares

Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most…

Rotation and orbital eccentricity both strongly influence planetary climate. Eccentricities can often be measured for exoplanets, but rotation rates are currently difficult or impossible to constrain. Here we examine how the combined…

Earth and Planetary Astrophysics · Physics 2019-05-01 Arthur D. Adams , William R. Boos , Eric T. Wolf

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known reference point at each measurement instant. The measurement cannot…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch , Amit K. Sanyal

Model fitting is frequently used to determine the shape of galaxies and the point spread function, for examples, in weak lensing analyses or morphology studies aiming at probing the evolution of galaxies. However, the number of parameters…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-03 Guoliang Li , Bo Xin , Wei Cui

The Earth observation satellites (EOSs) scheduling is of great importance to achieve efficient observation missions. The agile EOSs (AEOS) with stronger attitude maneuvering capacity can greatly improve observation efficiency while…

Instrumentation and Methods for Astrophysics · Physics 2020-03-13 Xinwei Wang , Chao Han , Rui Zhang , Yi Gu

This work presents a new parametrisation suitable for parameter-space studies of heliocentric Earth-impacting orbits. Originally motivated by the issue of potentially hazardous asteroids (PHAs) and the mitigation of such a risk, we show…

Earth and Planetary Astrophysics · Physics 2017-12-25 Alexandre Payez

The emergence of Agile Earth Observation Satellites (AEOSs) has marked a significant turning point in the field of Earth Observation (EO), offering enhanced flexibility in data acquisition. Concurrently, advancements in onboard satellite…

Networking and Internet Architecture · Computer Science 2025-06-16 Antonio M. Mercado-Martínez , Beatriz Soret , Antonio Jurado-Navas