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Journal articles on the topic 'Orbit Models'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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1

Liu, Yang, Yanxiong Liu, Ziwen Tian, Xiaolei Dai, Yun Qing, and Menghao Li. "Impact of ECOM Solar Radiation Pressure Models on Multi-GNSS Ultra-Rapid Orbit Determination." Remote Sensing 11, no. 24 (2019): 3024. http://dx.doi.org/10.3390/rs11243024.

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The Global Navigation Satellite System (GNSS) ultra-rapid precise orbits are crucial for global and wide-area real-time high-precision applications. The solar radiation pressure (SRP) model is an important factor in precise orbit determination. The real-time orbit determination is generally less accurate than the post-processed one and may amplify the instability and mismodeling of SRP models. Also, the impact of different SRP models on multi-GNSS real-time predicted orbits demands investigations. We analyzed the impact of the ECOM 1 and ECOM 2 models on multi-GNSS ultra-rapid orbit determinat

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Petersen, Michael S., Martin D. Weinberg, and Neal Katz. "Using commensurabilities and orbit structure to understand barred galaxy evolution." Monthly Notices of the Royal Astronomical Society 500, no. 1 (2020): 838–58. http://dx.doi.org/10.1093/mnras/staa3202.

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ABSTRACT We interpret simulations of secularly evolving disc galaxies through orbit morphology. Using a new algorithm that measures the volume of orbits in real space using a tessellation, we rapidly isolate commensurate (resonant) orbits. We identify phase-space regions occupied by different orbital families. Compared to spectral methods, the tessellation algorithm can identify resonant orbits within a few dynamical periods, crucial for understanding an evolving galaxy model. The flexible methodology accepts arbitrary potentials, enabling detailed descriptions of the orbital families. We appl

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3

Sośnica, K., D. Thaller, A. Jäggi, R. Dach, and G. Beutler. "Sensitivity of Lageos Orbits to Global Gravity Field Models." Artificial Satellites 47, no. 2 (2012): 47–65. http://dx.doi.org/10.2478/v10018-012-0013-y.

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Sensitivity of Lageos Orbits to Global Gravity Field ModelsPrecise orbit determination is an essential task when analyzing SLR data. The quality of the satellite orbits strongly depends on the models used for dynamic orbit determination. The global gravity field model used is one of the crucial elements, which has a significant influence on the satellite orbit and its accuracy. We study the impact of different gravity field models on the determination of the LAGEOS-1 and -2 orbits for data of the year 2008. Eleven gravity field models are compared, namely JGM3 and EGM96 based mainly on SLR, te

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4

Kong, Qiaoli, Fan Gao, Jinyun Guo, Litao Han, Linggang Zhang, and Yi Shen. "Analysis of Precise Orbit Predictions for a Hy-2A Satellite with Three Atmospheric Density Models Based on Dynamic Method." Remote Sensing 11, no. 1 (2018): 40. http://dx.doi.org/10.3390/rs11010040.

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HY-2A (Haiyang 2A) is the first altimetry satellite in China, and it was designed to be in a repeated ground track orbit to achieve the mission targets. Maneuvers are necessary to keep the satellite on the designed orbit according to the dynamic precise orbital prediction. Atmospheric density models are essential for predicting the low Earth orbit (LEO) satellites, such as HY-2A. Nevertheless, it is a complex process to determine the optimal atmospheric density model for orbit prediction. In this paper, short-term and long-term orbit predictions based on the dynamic method using three differen

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5

Zhao, Shuang, and Jixiang Meng. "On the conditional edge connectivity of double-orbit graphs." Filomat 33, no. 18 (2019): 5935–48. http://dx.doi.org/10.2298/fil1918935z.

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The double-orbit graph is a generalization of vertex transitive graphs, which contains many classic network models. Conditional edge-connectivity is an important index to measure the fault-tolerance and reliability of the networks. In this paper, we characterize the super-?(2) double-orbit graphs with two orbits of the same size. Moreover, we give a sufficient condition for regular double-orbit graphs to be ?(3)-optimal, and characterize super- ?(3) regular double-orbit graphs.

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Martínez-Alvarado, O. "Implications of model error for numerical climate prediction." Nonlinear Processes in Geophysics Discussions 1, no. 1 (2014): 131–53. http://dx.doi.org/10.5194/npgd-1-131-2014.

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Abstract. Numerical climate models constitute the best available tools to tackle the problem of climate prediction. Two assumptions lie at the heart of their suitability: (1) a climate attractor exists, and (2) the numerical climate model's attractor lies on the actual climate attractor, or at least on the projection of the climate attractor on the model's phase space. In this contribution, the Lorenz '63 system is used both as a prototype system and as an imperfect model to investigate the implications of the second assumption. By comparing results drawn from the Lorenz '63 system and from nu

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7

Li, Ran, Chunmei Zhao, Jiatong Wu, et al. "Impacts of Arc Length and ECOM Solar Radiation Pressure Models on BDS-3 Orbit Prediction." Remote Sensing 14, no. 16 (2022): 3990. http://dx.doi.org/10.3390/rs14163990.

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The BeiDou global navigation satellite system (BDS-3) has already provided worldwide navigation and positioning services for which the high-precision BDS-3-predicting orbit is the foundation. The arc length of the observed orbits and the solar radiation pressure (SRP) are two important factors for producing precise orbit predictions. The contribution studies the influences of these factors on BDS-3 orbit prediction. Three-month data from 1 July 2021 to 30 September 2021 are used to analyze optimal arc lengths and different ECOM SRP models for obtaining precise BDS-3 orbit predictions. The resu

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8

Holdshtein, Yu M. "On the choice of a parking orbit for a service spacecraft." Technical mechanics 2020, no. 3 (2020): 30–38. http://dx.doi.org/10.15407/itm2020.03.030.

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At present, the requirements for increasing spacecraft active life and operational reliability and reducing spacecraft operation costs become more and more stringent. Because of this, on-orbit servicing becomes more and more attractive. One of the most promising ways to increase the efficiency of transport operations in space is to carry out on-orbit servicing using reusable spacecraft with low-thrust solar electrojet engines. The aim of this paper is to develop a mathematical model for the choice of an optimal low near-Earth parking orbit for a reusable service spacecraft. The case of noncopl

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9

Alpatov, A. P., A. I. Maslova, and A. V. Pirozhenko. "Preselection of the reference orbit for an Earth remote sensing satellite." Technical mechanics 2023, no. 1 (2023): 14–24. http://dx.doi.org/10.15407/itm2023.01.014.

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Low near-circular orbits of Earth remote sensing (ERS) satellites are considered. The objective is to select the orbits most suitable for a particular satellite mission. In particular, the problem of an approximate determination of the orbit parameters that allow a satisfactory satellite survey of the target surface of the Earth is considered. The main desires of observation system developers regarding the conditions of the Earth's surface survey are considered. To reconcile these desires with the regularities of satellite motion in low Earth orbits, use may be made of simple models that descr

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10

Wang, Qianxin, Chao Hu, and Ya Mao. "Correction Method for the Observed Global Navigation Satellite System Ultra-Rapid Orbit Based on Dilution of Precision Values." Sensors 18, no. 11 (2018): 3900. http://dx.doi.org/10.3390/s18113900.

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For ultra-rapid orbits provided by the Global Navigation Satellite System (GNSS), the key parameters, accuracy and timeliness, must be taken into consideration in real-time and near real-time applications. However, insufficient observations in later epochs appear to generate low accuracy in observed orbits, for which a correlation between the Dilution of Precision (DOP) of the orbit parameters and their accuracy is found. To correct the observed GNSS ultra-rapid orbit, a correction method based on the DOP values is proposed by building the function models between DOP values and the orbit accur

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11

McGough, D. P., N. W. Evans, and J. L. Sanders. "Models of bars − II. Exponential profiles." Monthly Notices of the Royal Astronomical Society 493, no. 2 (2020): 2676–87. http://dx.doi.org/10.1093/mnras/staa491.

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ABSTRACT We present a new model for galactic bars with exponentially falling major axis luminosity profiles and Gaussian cross-sections. This is based on the linear superposition of Gaussian potential–density pairs with an exponential weight function, using an extension of the method originally introduced by Long & Murali. We compute the density, potential, and forces, using Gaussian quadrature. These quantities are given as explicit functions of position. There are three independent scaled bar parameters that can be varied continuously to produce bespoke bars of a given mass and shape. We

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Pankratov, I. A., Ya G. Sapunkov, and Yu N. Chelnokov. "Quaternion Models and Algorithms of Solving the General Problem of Energetically Optimal Spacecraft Orbit Reorientation." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 8 (2019): 498–503. http://dx.doi.org/10.17587/mau.20.498-503.

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The problem of optimal reorientation of the spacecraft orbit is considered in quaternion formulation. Control (vector of the acceleration of the jet thrust) is limited in magnitude. It is required to determine the optimal orientation of the vector of the acceleration in space to solve the problem. It is necessary to minimize the energy consumption of the process of reorientation of the spacecraft orbit. We used quaternion differential equation of the orientation of the spacecraft orbit to describe the motion of the center of mass of the spacecraft. The problem was solved using the maximum prin

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13

Zhai, Yawei, Jaymin Patel, Xingqun Zhan, Mathieu Joerger, and Boris Pervan. "An Advanced Receiver Autonomous Integrity Monitoring (ARAIM) Ground Monitor Design to Estimate Satellite Orbits and Clocks." Journal of Navigation 73, no. 5 (2020): 1087–105. http://dx.doi.org/10.1017/s0373463320000181.

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This paper describes a method to determine global navigation satellite systems (GNSS) satellite orbits and clocks for advanced receiver autonomous integrity monitoring (ARAIM). The orbit and clock estimates will be used as a reference truth to monitor signal-in-space integrity parameters of the ARAIM integrity support message (ISM). Unlike publicly available orbit and clock products, which aim to maximise estimation accuracy, a straightforward and transparent approach is employed to facilitate integrity evaluation. The proposed monitor is comprised of a worldwide network of sparsely distribute

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14

Oomen, Glenn-Michael, Onno Pols, Hans Van Winckel, and Gijs Nelemans. "Disc-binary interactions in depleted post-AGB binaries." Astronomy & Astrophysics 642 (October 2020): A234. http://dx.doi.org/10.1051/0004-6361/202038341.

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Binary post-asymptotic giant branch (post-AGB) stars have orbital periods in the range of 100−2500 days in eccentric orbits. They are surrounded by circumbinary dusty discs. They are the immediate result of unconstrained binary interaction processes. Their observed orbital properties do not correspond to model predictions: Neither the periods nor the high eccentricities are expected. Indeed, many orbits are eccentric despite the strong tidal interaction when the primary had giant dimensions on the red giant branch and AGB. Our goal is to investigate if interactions between a binary and its cir

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15

Wang, H. S., and X. Y. Hou. "On the secondary’s rotation in a synchronous binary asteroid." Monthly Notices of the Royal Astronomical Society 493, no. 1 (2020): 171–83. http://dx.doi.org/10.1093/mnras/staa133.

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ABSTRACT This article studies the secondary’s rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem, composed of a spherical primary plus a triaxial ellipsoid secondary. Compared with classical spin-orbit work, there are two differences: (1) influence of the secondary’s rotation on the mutual orbit is considered and (2) instead of the Hamiltonian approach, the approach of periodic orbits is adopted. Our studies find the following. (1) The genealogy of the two families of periodic orbits is

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16

Gomez, Raul, Dmitry Gourevitch, and Siddhartha Sahi. "Generalized and degenerate Whittaker models." Compositio Mathematica 153, no. 2 (2017): 223–56. http://dx.doi.org/10.1112/s0010437x16007788.

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We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean). Our main result is the construction of epimorphisms from the generalized Whittaker model corresponding to a nilpotent orbit to any degenerate Whittaker model corresponding to the same orbit, and to certain degenerate Whittaker models corresponding to bigger orbits. We also give choice-free definitions of generalized and degenerate Whittaker models. Finally, we explain how our methods imply analogous results for Whittaker–Fourier coefficients of au

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17

Chen, Cheng, Alessia Franchini, Stephen H. Lubow, and Rebecca G. Martin. "Orbital dynamics of circumbinary planets." Monthly Notices of the Royal Astronomical Society 490, no. 4 (2019): 5634–46. http://dx.doi.org/10.1093/mnras/stz2948.

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ABSTRACT We investigate the dynamics of a non-zero mass, circular orbit planet around an eccentric orbit binary for various values of the binary eccentricity, binary mass fraction, planet mass, and planet semimajor axis by means of numerical simulations. Previous studies investigated the secular dynamics mainly by approximate analytic methods. In the stationary inclination state, the planet and binary precess together with no change in relative tilt. For both prograde and retrograde planetary orbits, we explore the conditions for planetary orbital libration versus circulation and the condition

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18

Ye, Fei, Yunbin Yuan, Bingfeng Tan, Zhiguo Deng, and Jikun Ou. "The Preliminary Results for Five-System Ultra-Rapid Precise Orbit Determination of the One-Step Method Based on the Double-Difference Observation Model." Remote Sensing 11, no. 1 (2018): 46. http://dx.doi.org/10.3390/rs11010046.

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The predicted parts of ultra-rapid orbits are important for (near) real-time Global Navigation Satellite System (GNSS) precise applications; and there is little research on GPS/GLONASS/BDS/Galileo/QZSS five-system ultra-rapid precise orbit determination; based on the one-step method and double-difference observation model. However; the successful development of a software platform for solving five-system ultra-rapid orbits is the basis of determining and analyzing these orbits. Besides this; the different observation models and processing strategies facilitate to validate the reliability of th

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19

Kazantsev, E. "Unstable periodic orbits and attractor of the barotropic ocean model." Nonlinear Processes in Geophysics 5, no. 4 (1998): 193–208. http://dx.doi.org/10.5194/npg-5-193-1998.

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Abstract. A numerical method for detection of unstable periodic orbits on attractors of nonlinear models is proposed. The method requires similar techniques to data assimilation. This fact facilitates its implementation for geophysical models. This method was used to find numerically several low-period orbits for the barotropic ocean model in a square. Some numerical particularities of application of this method are discussed. Knowledge of periodic orbits of the model helps to explain some of these features like bimodality of probability density functions (PDF) of principal parameters. These P

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20

Ossipkov, L. P., and S. A. Kutuzov. "Orbital elements of different Galactic population objects." Symposium - International Astronomical Union 153 (1993): 369–70. http://dx.doi.org/10.1017/s0074180900123642.

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The study of prevalent orbits in galactic subsystems can help us understand galactic structure and clarify its history. The classical analysis of flat orbits and metallicities of old stars led Eggen et al. (1962) to formulate the rapid collapse of the primordial Galaxy. On the other side Yoshii & Saio (1979) studied three-dimensional orbits that separate in spherical coordinates. They found the Galaxy contracted quasi-stationary after the formation of halo objects. Here we shall briefly discuss the results of numerical orbit calculations (with Merson's method) for selected galactic subsyst

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21

Gligorić, G., A. Radosavljević, J. Petrović, A. Maluckov, Lj Hadžievski, and B. A. Malomed. "Models of spin-orbit-coupled oligomers." Chaos: An Interdisciplinary Journal of Nonlinear Science 27, no. 11 (2017): 113102. http://dx.doi.org/10.1063/1.5000345.

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22

Ma, Lihua, Xiaojun Xu, and Feng Pang. "Accuracy Assessment of Geostationary-Earth-Orbit with Simplified Perturbations Models." Artificial Satellites 51, no. 2 (2016): 55–59. http://dx.doi.org/10.1515/arsa-2016-0005.

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Abstract A two-line element set (TLE) is a data format encoding orbital elements of an Earth-orbiting object for a given epoch. Using suitable prediction formula, the motion state of the object can be obtained at any time. The TLE data representation is specific to the simplified perturbations models, so any algorithm using a TLE as a data source must implement one of these models to correctly compute the state at a specific time. Accurately adjustment of antenna direction on the earth station is the key to satellite communications. With the TLE set topocentric elevation and azimuth direction

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23

Pichugin, S. B. "Simplest Flow Queuing Models for LEO Satellite System." Proceedings of Higher Educational Institutions. Маchine Building, no. 1 (742) (January 2022): 61–70. http://dx.doi.org/10.18698/0536-1044-2022-1-61-70.

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The relevance of the work is associated with the active deployment of low-orbit communication systems and the expansion of research in the field of corresponding satellite systems. A promising low-orbit communication system based on relay satellites with the function (RSRFs) of routing message packets is considered. The low earth orbit communications systems use the BGP protocol and the AAA functionality at the ground station. For assessing the characteristics of RSRF inter-satellite paths, a scenario was created for the message packets arrival from a group of inter-satellite paths to one subs

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24

Zhu, Ling, Glenn van de Ven, Ryan Leaman, et al. "Disentangling the formation history of galaxies via population-orbit superposition: method validation." Monthly Notices of the Royal Astronomical Society 496, no. 2 (2020): 1579–97. http://dx.doi.org/10.1093/mnras/staa1584.

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ABSTRACT We present population-orbit superposition models for external galaxies based on Schwarzschild’s orbit-superposition method, by tagging the orbits with age and metallicity. The models fit the density distributions, kinematic, and age and metallicity maps from integral field unit (IFU) spectroscopy observations. We validate the method and demonstrate its power by applying it to mock data, similar to those obtained by the Multi-Unit Spectroscopic Explorer (MUSE) IFU on the Very Large Telescope (VLT). These mock data are created from Auriga galaxy simulations, viewed at three different in

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Toner, M., and A. D. Kirwan, Jr. "Periodic and homoclinic orbits in a toy climate model." Nonlinear Processes in Geophysics 1, no. 1 (1994): 31–40. http://dx.doi.org/10.5194/npg-1-31-1994.

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Abstract. A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet. We apply standard perturbative techniques from dynamical systems theory to study small amplitude periodic orbits about a constant equilibrium. The equations are put in cononical form and the local phase space topology is examined. Maximum and minimum periods of oscillation are obtained and related to the radius of the orbit. An adjacent equilibrium is shown to have saddle character and the inflowing and outflowing manifolds of this sad

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Mishev, A., and T. Stehle. "CFD-Analyse zur Leistungssteigerung eines Orbit-Motors*/CFD investigation of the performance of an orbital motor - CFD investigation of the influence of the rotor teeth number and eccentricity on the performance of an orbital motor." wt Werkstattstechnik online 105, no. 06 (2015): 433–39. http://dx.doi.org/10.37544/1436-4980-2015-06-85.

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Vorgestellt wird ein neuer Orbit-Motor mit innovativem Rotor-Design. Der Motor wurde grundlegend mit der Methode „Computational Fluid Dynamics (CFD) Analysis“ (numerische Strömungsmechanik) simulativ untersucht und entwickelt. Sechs volle dreidimensionale transiente CFD-Orbit-Motor-Modelle wurden entwickelt und mit dem CFD-Modell eines Standard-Orbit-Motors verglichen. Dabei weisen die CFD-Simulationsergebnisse für die neuen Orbit-Motoren-Modellvarianten einen deutlichen Anstieg des Motordrehmoments sowie wesentlich geringere Druck- und Gasvolumen-Anteil-Pulsationen gegenüber dem Standard-Orbi

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ÖZDEMIR, F., N. ÖZDEMIR, and B. T. KAYNAK. "MULTI-BLACK HOLES SOLUTION WITH COSMIC STRINGS." International Journal of Modern Physics A 19, no. 10 (2004): 1549–57. http://dx.doi.org/10.1142/s0217751x04017756.

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Some black hole-cosmic string models such as Reissner–Nordström, RN–de Sitter, Kerr–Newman and multi-black holes with cosmic string are given. Energy and angular momentum of a timelike particle in circular orbits in multi-black hole space–time are calculated. The geodesic equations for the timelike particles for the far region of the multi-black hole sources are calculated and small oscillations around the circular orbit obtained. It is seen that the particle's orbit precesses like the Lens–Thirring effect.

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Zhang, Mingjie, Jiangang Yang, Wanfu Zhang, and Qianlei Gu. "Orbit Decomposition Method for Rotordynamic Coefficients Identification of Annular Seals." Applied Sciences 11, no. 9 (2021): 4237. http://dx.doi.org/10.3390/app11094237.

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The elliptical orbit whirl model is widely used to identify the frequency-dependent rotordynamic coefficients of annular seals. The existing solution technique of an elliptical orbit whirl model is the transient computational fluid dynamics (CFD) method. Its computational time is very long. For rapid computation, this paper proposes the orbit decomposition method. The elliptical whirl orbit is decomposed into the forward and backward circular whirl orbits. Under small perturbation circumstances, the fluid-induced forces of the elliptical orbit model can be obtained by the linear superposition

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Pagiatakis, Spiros, and Athina Peidou. "The Intriguing Structure of Stripes in GRACE Geopotential Models." Remote Sensing 13, no. 21 (2021): 4362. http://dx.doi.org/10.3390/rs13214362.

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Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the latitudinal sampling characteristics of GRACE and we reveal the intriguing sampling mechanism that creates sub-Nyquist artifacts (stripes). Because the sub-Nyquist artifacts are poorly understood, we provide a simple simulation example to elucidate the mechanism of the sub-Nyquist artifact generation.

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Domingos, R. C., A. F. Bertachini de Almeida Prado, and R. Vilhena de Moraes. "A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/260830.

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The equations for the variations of the Keplerian elements of the orbit of a spacecraft perturbed by a third body are developed using a single average over the motion of the spacecraft, considering an elliptic orbit for the disturbing body. A comparison is made between this approach and the more used double averaged technique, as well as with the full elliptic restricted three-body problem. The disturbing function is expanded in Legendre polynomials up to the second order in both cases. The equations of motion are obtained from the planetary equations, and several numerical simulations are mad

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Zhao, Hongsheng. "Building Galaxy Models with Schwarzschild Method and Spectral Dynamics." International Astronomical Union Colloquium 172 (1999): 187–94. http://dx.doi.org/10.1017/s0252921100072547.

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AbstractTremendous progress has been made recently in modelling the morphology and kinematics of centers of galaxies. Increasingly realistic models are built for central bar, bulge, nucleus and black hole of galaxies, including our own. The newly revived Schwarzschild method has played a central role in these theoretical modellings. Here I will highlight some recent work at Leiden on extending the Schwarzschild method in a few directions. After a brief discussion of (i) an analytical approach to include stochastic orbits (Zhao 1996), and (ii) the “pendulum effect” of loop and boxlet orbits (Zh

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Volosheniuk, O. L. "Present-day low-orbit constellations of Earth remote sensing spacecraft with synthetic aperture radar." Technical mechanics 2022, no. 2 (2022): 59–70. http://dx.doi.org/10.15407/itm2022.02.059.

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The purpose of this work is to determine the current trends in the development of low-orbit constellations of spacecraft with synthetic aperture radar (SAR), which have a number of significant advantages in Earth remote sensing. It is shown that the demand for Earth remote sensing data and products and services based thereon continues to grow worldwide. The applicability of SAR to Earth remote sensing is considered. The main differences and advantages of image acquisition using SAR spacecraft in comparison with optical spacecraft are shown. The main directions of using low-orbit SAR spacecraft

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Irrgang, A., B. Wilcox, E. Tucker, and L. Schiefelbein. "Milky Way mass models for orbit calculations." Astronomy & Astrophysics 549 (January 2013): A137. http://dx.doi.org/10.1051/0004-6361/201220540.

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Langaris, C. "Gated polling models with customers in orbit." Mathematical and Computer Modelling 30, no. 3-4 (1999): 171–87. http://dx.doi.org/10.1016/s0895-7177(99)00140-5.

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Wang, Qianxin, Chao Hu, and Kefei Zhang. "A BDS-2/BDS-3 Integrated Method for Ultra-Rapid Orbit Determination with the Aid of Precise Satellite Clock Offsets." Remote Sensing 11, no. 15 (2019): 1758. http://dx.doi.org/10.3390/rs11151758.

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The accuracy of ultra-rapid orbits is a key parameter for the performance of GNSS (Global Navigation Satellite System) real-time or near real-time precise positioning applications. The quality of the current BeiDou demonstration system (BDS) ultra-rapid orbits is lower than that of GPS, especially for the new generational BDS-3 satellites due to the fact that the availability of the number of ground tracking stations is limited, the geographic distribution of these stations is poor, and the data processing strategies adopted are not optimal. In this study, improved data processing strategies f

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Li, Xingxing, Chengbo Liu, Yongqiang Yuan, and Keke Zhang. "Current Status and Challenges of BDS Satellite Precise Orbit Products: From a View of Independent SLR Validation." Remote Sensing 15, no. 11 (2023): 2782. http://dx.doi.org/10.3390/rs15112782.

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As an essential infrastructure that provides positioning, navigation, and timing services, China constructed the BeiDou Navigation Satellite System (BDS). The last BDS satellite was launched in June 2020, which represents the completion of BDS. BDS’s constellation consists of Medium Earth Orbit (MEO), Inclined Geosynchronous Orbit (IGSO), and Geostationary Orbit satellites. The precise modeling of non-conservative forces for BDS satellites is a challenging task. As an independent observation, Satellite Laser Ranging (SLR) is an important validation method of GNSS orbit modeling. In this paper,

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Bruin, Nils, and Alexander Molnar. "Minimal models for rational functions in a dynamical setting." LMS Journal of Computation and Mathematics 15 (December 1, 2012): 400–417. http://dx.doi.org/10.1112/s1461157012001131.

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AbstractWe present a practical algorithm to compute models of rational functions with minimal resultant under conjugation by fractional linear transformations. We also report on a search for rational functions of degrees 2 and 3 with rational coefficients that have many integers in a single orbit. We find several minimal quadratic rational functions with eight integers in an orbit and several minimal cubic rational functions with ten integers in an orbit. We also make some elementary observations on possibilities of an analogue of Szpiro’s conjecture in a dynamical setting and on the structure

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Wright, Edward L. "Fitting Zodiacal Models." Symposium - International Astronomical Union 204 (2001): 157–60. http://dx.doi.org/10.1017/s0074180900226016.

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Models of the zodiacal light are necessary to convert measured data taken from low Earth orbit into the radiation field outside the Solar System. The uncertainty in these models dominates the overall uncertainty in determining the extragalactic background light for wavelengths λ < 100 μm.

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Wu, Tangting, Jiancheng Li, Xinyu Xu, Hui Wei, Kaifa Kuang, and Yongqi Zhao. "Gravity Field Model Determination Based on GOCE Satellite Point-Wise Accelerations Estimated from Onboard Carrier Phase Observations." Remote Sensing 11, no. 12 (2019): 1420. http://dx.doi.org/10.3390/rs11121420.

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GPS-based, satellite-to-satellite tracking observations have been extensively used to elaborate the long-scale features of the Earth’s gravity field from dedicated satellite gravity missions. We proposed compiling a satellite gravity field model from Gravity Field and Steady-State Ocean Circulation Explorer (GOCE) satellite accelerations directly estimated from the onboard GPS data using the point-wise acceleration approach, known as the carrier phase differentiation method. First, we composed the phase accelerations from the onboard carrier phase observations based on the sixth-order seven-po

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Domingos, R. C., A. F. B. A. Prado, and V. M. Gomes. "Effects of the Eccentricity of a Perturbing Third Body on the Orbital Correction Maneuvers of a Spacecraft." Mathematical Problems in Engineering 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/359845.

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The fuel consumption required by the orbital maneuvers when correcting perturbations on the orbit of a spacecraft due to a perturbing body was estimated. The main goals are the measurement of the influence of the eccentricity of the perturbing body on the fuel consumption required by the station keeping maneuvers and the validation of the averaged methods when applied to the problem of predicting orbital maneuvers. To study the evolution of the orbits, the restricted elliptic three-body problem and the single- and double-averaged models are used. Maneuvers are made by using impulsive and low t

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Jiang, Chunsheng, Yongjie Liu, Yu Jiang, and Hengnian Li. "Orbital Design and Control for Jupiter-Observation Spacecraft." Aerospace 8, no. 10 (2021): 282. http://dx.doi.org/10.3390/aerospace8100282.

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This paper investigates the evolution of orbits around Jupiter and designs a sun-synchronous repeating ground track orbit. In the dynamical models, the leading terms of the Jupiter’s oblateness are J2 and J4 terms. A reasonable range of ground track repetition parameter Q is given and the best observation orbit elements are selected. Meanwhile, the disturbing function acting on the navigation spacecraft is the atmospheric drag and the third body. The law of altitude decay of the spacecraft’s semimajor orbit axis caused by the atmospheric drag is studied, and the inclination perturbation caused

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Zhuang, Y., and L. Wang. "ANALYSIS OF THE GRAVITY MODELS IMPACT ON LEO SATELLITE ORBIT PREDICTION." International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLVI-3/W1-2022 (April 22, 2022): 307–13. http://dx.doi.org/10.5194/isprs-archives-xlvi-3-w1-2022-307-2022.

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Abstract. Non-spherical gravity plays a crucial role in the LEO satellite orbit determination and prediction. In recent years, several new gravity models have been proposed with more comprehensive ground and space-borne data. The impact of the gravity models has been extensively studied while its impact on the orbit prediction has not attracted enough attention. With the risen of the mega LEO constellation, new applications such as the LEO navigation requires real-time precise orbit, which increases the importance of the precise orbit prediction. In this study, we selected six popular gravity

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Zhai, Min, Zongbo Huyan, Yuanyuan Hu, Yu Jiang, and Hengnian Li. "Improvement of orbit prediction accuracy using extreme gradient boosting and principal component analysis." Open Astronomy 31, no. 1 (2022): 229–43. http://dx.doi.org/10.1515/astro-2022-0030.

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Abstract High-accuracy orbit prediction plays a crucial role in several aerospace applications, such as satellite navigation, orbital maneuver, space situational awareness, etc. The conventional methods of orbit prediction are usually based on dynamic models with clear mathematical expressions. However, coefficients of perturbation forces and relevant features of satellites are approximate values, which induces errors during the process of orbit prediction. In this study, a new orbit prediction model based on principal component analysis (PCA) and extreme gradient boosting (XGBoost) model is p

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Краев, К. В., and П. А. Зайцев. "PREDICTION MODELS FOR NO-FAILLE OPERATION OF LOW-ORBITAL COMMUNICATION SPACECRAFTS." СИСТЕМЫ УПРАВЛЕНИЯ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ, no. 3(89) (September 30, 2022): 14–18. http://dx.doi.org/10.36622/vstu.2022.89.3.004.

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Рассмотрены проблемы надежности низкоорбитальных спутников связи, а также методы решения задач прогнозирования их функционирования и практические задачи, решаемые при эксплуатации низкоорбитальной группировки спутников связи. Предложена модель прогнозирования функционирования низкоорбитальных спутников связи . We consider the problems of reliability of low-orbit communication satellites, as well as methods for solving problems of predicting their operation and practical problems solved during the operation of a low-orbit constellation of communication satellites. A model for predicting the fun

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Palmer, P. I., L. Feng, and H. Bösch. "Spatial resolution of tropical terrestrial CO<sub>2</sub> fluxes inferred using space-borne column CO<sub>2</sub> sampled in different earth orbits: the role of spatial error correlations." Atmospheric Measurement Techniques Discussions 4, no. 3 (2011): 3251–76. http://dx.doi.org/10.5194/amtd-4-3251-2011.

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Abstract. We use realistic numerical experiments to assess the sensitivity of 8-day CO2 flux estimates, inferred from space-borne short-wave infrared measurements of column-averaged CO2 dry air mixing ratio XCO2, to the choice of Earth observing orbit. We focus on three orbits: (1) a low-inclination circular orbit used by the NASA Tropical Rainfall Measuring Mission (TRMM); (2) a sun-synchronous orbit used by the Japanese Greenhouse Gases Observing SATellite (GOSAT) and proposed for the NASA Orbiting Carbon Observatory (OCO-2) instrument; and (3) a precessing orbit used by the International Sp

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Palmer, P. I., L. Feng, and H. Bösch. "Spatial resolution of tropical terrestrial CO<sub>2</sub> fluxes inferred using space-borne column CO<sub>2</sub> sampled in different earth orbits: the role of spatial error correlations." Atmospheric Measurement Techniques 4, no. 9 (2011): 1995–2006. http://dx.doi.org/10.5194/amt-4-1995-2011.

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Abstract. We use realistic numerical experiments to assess the sensitivity of 8-day CO2 flux estimates, inferred from space-borne short-wave infrared measurements of column-averaged CO2 dry air mixing ratio XCO2, to the choice of Earth observing orbit. We focus on three orbits: (1) a low-inclination circular orbit used by the NASA Tropical Rainfall Measuring Mission (TRMM); (2) a sun-synchronous orbit used by the Japanese Greenhouse Gases Observing SATellite (GOSAT) and proposed for the NASA Orbiting Carbon Observatory (OCO-2) instrument; and (3) a precessing orbit used by the International Sp

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Lazzoni, C., S. Desidera, F. Marzari, et al. "Dynamical models to explain observations with SPHERE in planetary systems with double debris belts." Astronomy & Astrophysics 611 (March 2018): A43. http://dx.doi.org/10.1051/0004-6361/201731426.

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Context. A large number of systems harboring a debris disk show evidence for a double belt architecture. One hypothesis for explaining the gap between the debris belts in these disks is the presence of one or more planets dynamically carving it. For this reason these disks represent prime targets for searching planets using direct imaging instruments, like the Spectro-Polarimetric High-constrast Exoplanet Research (SPHERE) at the Very Large Telescope.Aim. The goal of this work is to investigate this scenario in systems harboring debris disks divided into two components, placed, respectively, i

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Jin, Biao, Yuqiang Li, Kecai Jiang, Zhulian Li, and Shanshan Chen. "GRACE-FO Antenna Phase Center Modeling and Precise Orbit Determination with Single Receiver Ambiguity Resolution." Remote Sensing 13, no. 21 (2021): 4204. http://dx.doi.org/10.3390/rs13214204.

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Precise knowledge of the phase center location of the global navigation satellite system (GNSS) antenna is a prerequisite for precise orbit determination (POD) of the low Earth orbit (LEO) satellite. The phase center offset (PCO) and phase center variation (PCV) values for the LEO antenna obtained from ground calibration cannot reflect the error sources encountered in the actual spacecraft environment. PCV corrections are estimated by ionosphere free (IF) carrier phase post-fit residuals of reduced dynamic orbit determination. Ambiguity resolution (AR) plays a crucial role in achieving the bes

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Huang, Anyi, and Shenggang Wu. "Neural Network-Based Approximation Model for Perturbed Orbit Rendezvous." Mathematics 10, no. 14 (2022): 2489. http://dx.doi.org/10.3390/math10142489.

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An approximation of orbit rendezvous is usually used in the global optimization of multi-target rendezvous missions, which can greatly affect the efficiency of optimization process. A fast neural network-based surrogate model is proposed to approximate the optimal velocity increment of perturbed orbit rendezvous in low Earth orbits. According to a dynamic analysis, the initial and target orbits together with the flight time are transformed into a nine-dimensional normalized vector that is used as the input layer of the neural network. An existing approximation method is introduced to quickly g

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Tao, Enzhe, Nannan Guo, Kexin Xu, Bin Wang, and Xuhua Zhou. "Validation of Multi-Year Galileo Orbits Using Satellite Laser Ranging." Remote Sensing 13, no. 22 (2021): 4634. http://dx.doi.org/10.3390/rs13224634.

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Satellite laser ranging (SLR) observations provide an independent validation of the global navigation satellite system (GNSS) orbits derived using microwave measurements. SLR residuals have also proven to be an important indicator of orbit radial accuracy. In this study, SLR validation is conducted for the precise orbits of eight Galileo satellites covering four to eight years (the current longest span), provided by multiple analysis centers (ACs) participating in the multi-GNSS experiment (MGEX). The purpose of this long-term analysis (the longest such study to date), is to provide a comprehe

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