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Two radio-science instruments have included into the Luna-Glob and Luna-Resource projects in the frame of Russian Luna exploration program: the lander's radio beacon and the orbiter's receiver. Three types of experiments are planned:…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 V. D. Gromov , A. S. Kosov

An analytical method for solving the problem of the satellite around the oblated Earth is discussed. Such a method goes back to Dirk Brouwer (1959) and seems to be still widely used in real applications. We reformulate in a more concise way…

Analysis of PDEs · Mathematics 2023-01-02 Claudio Saccon , Niccolò Pilloni

This paper is devoted to a numerical analysis of a fractional viscoelastic wave propagation model that generalizes the fractional Maxwell model and the fractional Zener model. First, we convert the model problem into a velocity type…

Numerical Analysis · Mathematics 2025-07-17 Hao Yuan , Xiaoping Xie

Recent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly-averaged equations of motion. The coupled perturbations affect the…

Earth and Planetary Astrophysics · Physics 2020-11-24 Ioannis Gkolias , Elisa Maria Alessi , Camilla Colombo

We discuss the applicability of the Melnikov and Landau-Teller theories in obtaining semi-analytical estimates of the speed of chaotic diffusion in systems driven by the separatrix-like stochastic layers of a resonance belonging to the…

Earth and Planetary Astrophysics · Physics 2023-06-19 Edoardo Legnaro , Christos Efthymiopoulos , Maria Harsoula

There is a growing number of Earth's co-orbital bodies being discovered. At least five of them are known to be temporarily in quasi-satellite orbits. One of those, 469219 Kamo'oalewa, was identified as possibly having the same composition…

Earth and Planetary Astrophysics · Physics 2025-09-16 R. Sfair , L. C. Gomes , O. C. Winter , R. A. Moraes , G. Borderes-Motta , C. M. Schäfer

We describe an analytical method for computing the orbital parameters of a planet from the periodogram of a radial velocity signal. The method is very efficient and provides a good approximation of the orbital parameters. The accuracy is…

Earth and Planetary Astrophysics · Physics 2016-06-01 J. -B. Delisle , D. Ségransan , N. Buchschacher , F. Alesina

This paper focuses on FSO-based wireless power transmission (WPT) from Earth-Moon Lagrangian Point-2 (EMLP-2) to a receiver optical antenna equipped with solar cells that can be located anywhere on the lunar far side (LFS). Different…

Signal Processing · Electrical Eng. & Systems 2024-02-27 Baris Donmez , Gunes Karabulut Kurt

Although the rotation of some Saturn's satellites in spin-orbit has already been studied by several authors, this is not the case of the rotation of Phoebe, which has the particularity of being non resonant. The purpose of the paper is to…

Earth and Planetary Astrophysics · Physics 2015-05-19 L. Cottereau , E. Aleshkina , J. Souchay

This paper proposes a narrowband fully-analog $N$-antenna transmitter that emulates the functionality of a narrowband fully-digital $N$-antenna transmitter. Specifically, in symbol interval $m$, the proposed fully-analog transmitter…

Signal Processing · Electrical Eng. & Systems 2026-02-04 Nikola Zlatanov

The critical inclination is of special interest in artificial satellite theory. The critical inclination can maintain minimal deviations of eccentricity and argument of pericentre from the initial values, and orbits at this inclination have…

Earth and Planetary Astrophysics · Physics 2011-08-24 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of spacetime. As the waves carry off orbital energy, the two bodies spiral into each…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dillon Buskirk , Maria C. Babiuc Hamilton

The perturbation of the lunar motion caused by a hypothetical violation of the equivalence principle is analytically worked out in terms of power series \`a la Hill-Brown. The interaction with the quadrupolar tide is found to amplify the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Thibault Damour , David Vokrouhlicky

A numerical approach to solve the perturbed Lambert's problem is presented. The proposed technique uses the Theory of Functional Connections, which allows the derivation of a constrained functional that analytically satisfies the boundary…

Mathematical Physics · Physics 2024-08-08 Franco Criscola , David Canales , Daniele Mortari

In this contribution we present two new proposals for measuring the general relativistic gravitomagnetic component of the gravitational field of the Earth. One proposal consists of the measurement of the difference of the rates of the…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

This paper investigates optimal fiducial marker placement on the surface of a satellite performing relative proximity operations with an observer satellite. The absolute and relative translation and attitude equations of motion for the…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Nicholas B. Andrews , Kristi A. Morgansen

The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Chunyu Zhang , Qing Gao , Yungui Gong , Bin Wang , Alan J. Weinstein , Chao Zhang

We provide stability estimates, obtained by implementing the Nekhoroshev theorem, in reference to the orbital motion of a small body (satellite or space debris) around the Earth. We consider a Hamiltonian model, averaged over fast angles,…

Earth and Planetary Astrophysics · Physics 2021-12-14 Alessandra Celletti , Irene De Blasi , Christos Efthymiopoulos

This paper compares the continuum evolution for density equation modelling and the Gaussian mixture model on the 2D phase space long-term density propagation problem in the context of high-altitude and high area-to-mass ratio satellite…

Numerical Analysis · Mathematics 2022-05-09 Pan Sun , Camilla Colombo , Mirko Trisolini , Shuang Li

Although analytical studies on the secular motion of the irregular satellites have been published recently, these theories have not yet been satisfactorily reconciled with the results of direct numerical integrations. These discrepancies…

Astrophysics · Physics 2009-11-10 Matija Cuk , Joseph A. Burns
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