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The rapid increase in the deployment of Low Earth Orbit (LEO) satellites, catering to diverse applications such as communication, Earth observation, environmental monitoring, and scientific research, has significantly amplified the…

计算工程、金融与科学 · 计算机科学 2024-11-27 Pranava Seth , Mamta Gulati

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…

空间物理 · 物理学 2019-02-15 Rosario López , Denis Hautesserres , Juan Félix San-Juan

We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applications to the modern sets of astrometric observations, where…

数学物理 · 物理学 2010-04-01 Giovanni Federico Gronchi , Linda Dimare , Andrea Milani

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

天体物理仪器与方法 · 物理学 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

In this paper we examine the possibility of testing the equivalence principle, in its weak form, by analyzing the orbital motion of a pair of artificial satellites of different composition moving along orbits of identical shape and size in…

广义相对论与量子宇宙学 · 物理学 2007-06-14 Lorenzo Iorio

If an orbit is fitted from combined RV and astrometric data, the orbit should be physically consistent with both data sets. The Keplerian orbit of a planet is a highly nonlinear function of seven parameters. The astrometric orbit problem…

地球与行星天体物理 · 物理学 2010-08-23 Joseph H. Catanzarite

The measurement of a quantum state poses a unique challenge for experimentalists. Recently, the technique of "direct measurement" was proposed for characterizing a quantum state in-situ through sequential weak and strong measurements. While…

Observing artificial satellites is a relatively new and unique branch of astronomy that is very interesting and dynamic. One specific aspect of observing these objects is that although they appear amongst the celestial background, as…

空间物理 · 物理学 2015-07-02 Michael A. Earl

Doppler orbitography uses the Doppler shift in a transmitted signal to determine the orbital parameters of satellites including range and range-rate (or radial velocity). We describe two techniques for atmospheric-limited optical Doppler…

Here we show how to determine the orbital parameters of a system composed of a star and N companions (that can be planets, brown-dwarfs or other stars), using a simple Fourier analysis of the radial velocity data of the star. This method…

地球与行星天体物理 · 物理学 2022-08-01 Alexandre C. M. Correia

In this paper, a new parametrization of the relative motion between two satellites orbiting a central body is presented. The parametrization is based on the nodal elements: a set of angles describing the orbit geometry with respect to the…

系统与控制 · 电气工程与系统科学 2021-01-22 Mirko Leomanni , Andrea Garulli , Antonio Giannitrapani , Renato Quartullo

Experimental determination of an unknown quantum state usually requires several incompatible measurements. However, it is also possible to determine the full quantum state from a single, repeated measurement. For this purpose, the quantum…

量子物理 · 物理学 2008-03-25 Xinhua Peng , Jiangfeng Du , Dieter Suter

Population studies of Kepler's multi-planet systems have revealed a surprising degree of structure in their underlying architectures. Information from a detected transiting planet can be combined with a population model to make predictions…

地球与行星天体物理 · 物理学 2021-11-03 Matthias Y. He , Eric B. Ford , Darin Ragozzine

The concept of a measurement of the yet unevaluated Hannay angle, by means of an Earth-bound satellite, adiabatically driven by the Moon, is shown herein. Numerical estimates are given for the angles, the orbital displacements, the…

天体物理学 · 物理学 2009-11-10 Alessandro D. A. M. Spallicci

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

In this paper we build upon recent work in the radio astronomy community to experimentally demonstrate the viability of passive radar for Space Situational Awareness. Furthermore, we show that the six state parameters of objects in orbit…

In this paper, we present the controllability properties of Keplerian motion controlled by low-thrust control systems. The low-thrust control system, compared with high or even impulsive control system, provide a fuel-efficient means to…

最优化与控制 · 数学 2015-05-28 Zheng Chen , Yacine Chitour

You have a satellite spacecraft or asteroid that moves under the gravitational influence of a massive central body and follows a Keplerian orbit around it ellipse parabola or hyperbola Given measurements of two positions in its orbit what…

物理教育 · 物理学 2025-08-06 Philip R. Blanco

Given the critical roles that satellites play in national defense, public safety, and worldwide communications, finding ways to determine satellite trajectories is a crucially important task for improved space situational awareness.…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Rohit Khorana

Armed with an astrolabe and Kepler's laws one can arrive at accurate estimates of the orbits of planets.

科普物理 · 物理学 2022-10-05 Michael Robinson