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The increasing number and variety of extrasolar planets illustrates the importance of characterizing planetary perturbations. Planetary orbits are typically described by physically intuitive orbital elements. Here, we explicitly express the…

地球与行星天体物理 · 物理学 2015-06-11 Dimitri Veras , N. Wyn Evans

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field…

广义相对论与量子宇宙学 · 物理学 2012-03-13 Lorenzo Iorio

A method for asteroid deflection that makes use of a spacecraft moving back and forth on a segment of an appropriate Keplerian orbit about the asteroid is described and evaluated. It is shown that, on average, the spacecraft describing such…

空间物理 · 物理学 2017-04-05 Yohannes Ketema

This paper presents an analysis of optimal impact strategies to deflect potentially dangerous asteroids. To compute the increase in the minimum orbit intersection distance of the asteroid due to an impact with a spacecraft, simple…

最优化与控制 · 数学 2011-05-02 Massimiliano Vasile , Camilla Colombo

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…

信号处理 · 电气工程与系统科学 2020-03-10 Brendan Hennessy , Mark Rutten , Steven Tingay , Robert Young

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. Buonanno , T. Damour

The discovery of new objects in modern wide-field asteroid and comet surveys can be enhanced by first identifying observations belonging to known solar system objects. The assignation of new observations to a known object is an attribution…

The problem of the two-body gravitational interaction has been solved numerically based on the classical mechanics principles. One of the bodies is a deformable three-axis ellipsoid (central body) and the other is a material point…

地球与行星天体物理 · 物理学 2022-11-01 Dmitry G. Kiryan , George V. Kiryan

Knowledge of the orbits of visual binary stars has always been one of the fundamentals of astronomy. Based historically on the visual measures, nowadays the orbits rely more (or exclusively) on the accurate speckle data. This prompts…

太阳与恒星天体物理 · 物理学 2024-08-23 Andrei Tokovinin

An algorithm for robust initial orbit determination (IOD) under perturbed orbital dynamics is presented. By leveraging map inversion techniques defined in the algebra of Taylor polynomials, this tool returns a highly accurate solution to…

地球与行星天体物理 · 物理学 2025-05-27 Alberto Fossà , Matteo Losacco , Roberto Armellin

A chaser satellite equipped with robotic arms can capture space debris and manipulate it for use in more advanced missions such as refueling and deorbiting. To facilitate capturing, a caging-based strategy has been proposed to simplify the…

机器人学 · 计算机科学 2024-05-03 Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain a complete linear system for the unperturbed problem and,…

地球与行星天体物理 · 物理学 2021-01-13 David Arnas , Richard Linares

Orbital parameters of planets are fitted directly to an appropriate set of observations. It is shown how to use the rigorous Deming method combined with a numerical integration of gravitation equations. In all, 65 parameters of the nine…

天体物理学 · 物理学 2007-05-23 A. C. Lefloch

One often-used approximation in the study of binary compact objects (i.e., black holes and neutron stars) in general relativity is the instantaneously circular orbit assumption. This approximation has been used extensively, from the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Mark Miller

This paper presents a robust linear method for impact probability estimation of near-Earth asteroids with the Earth. This method is a significantly modified and improved method, which uses a special curvilinear coordinate system associated…

地球与行星天体物理 · 物理学 2020-01-08 Dmitrii E. Vavilov

Building and maintaining a catalog of resident space objects involves several tasks, ranging from observations to data analysis. Once acquired, the knowledge of a space object needs to be updated following a dedicated observing schedule.…

数值分析 · 数学 2022-10-27 Laura Pirovano , Roberto Armellin

The perturbative integral method was applied to quantify the contribution of external forces during a specific interval of time in trajectories of spacecraft around asteroids and under the Luni-solar influence. However, this method has not…

When an asteroid has a few observations over a short time span the information contained in the observational arc could be so little that a full orbit determination may be not possible. One of the methods developed in recent years to…

最优化与控制 · 数学 2020-11-11 A. Del Vigna

A new, second-order solution in curvilinear coordinates is introduced for the relative motion of two spacecraft on eccentric orbits. The second-order equations for unperturbed orbits are derived in spherical coordinates with true anomaly as…

动力系统 · 数学 2019-09-06 Matthew Willis , Kyle T. Alfriend , Simone D'Amico

Summary: In the past decade both scientists and laymen have probably heard at least once through the newspapers, TV and Internet that a new asteroid has been discovered with non-zero (sometimes "high") probability of collision with the…

空间物理 · 物理学 2013-04-29 Germano D'Abramo