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Related papers: Relativistic framework for high-precision GNSS pro…

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We present a unified post-Newtonian framework for relativistic timing and coordinate transformations covering six time scales (TCB, TCG, TT, TDB, TCL, TL) and three reference systems (BCRS, GCRS, LCRS). Extending the IAU conventions, we…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Slava G. Turyshev

Relativistic corrections are essential for time transformations between geocentric, solar system barycentric, and luni-centric reference systems to account for differences in gravitational potential and relative motion. As the primary…

Earth and Planetary Astrophysics · Physics 2025-07-01 Slava G. Turyshev , James G. Williams , Dale H. Boggs , Ryan S. Park

This paper introduces two innovative convex optimization formulations to simultaneously optimize the H2/Hinf observer gain and sensing precision, and guarantee a specified estimation error bound for nonlinear systems in LPV form. Applied to…

Optimization and Control · Mathematics 2025-03-26 Eliot Nychka , Raktim Bhattacharya

This paper presents a terrestrial GNSS-based orbit and clock estimation framework for lunar navigation satellites. To enable high-precision estimation under the low-observability conditions encountered at lunar distances, we develop a…

Robotics · Computer Science 2026-02-20 Keidai Iiyama , Grace Gao

This paper develops a robust estimation framework for cislunar navigation that embeds the Circular Restricted Three-Body Problem (CR3BP) dynamics and bearing-only optical measurements within a Linear Fractional Transformation (LFT)…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Raktim Bhattacharya

The gravity field maps of the satellite gravimetry missions GRACE (Gravity Recovery and Climate Experiment) and GRACE Follow-On are derived by means of precise orbit determination. The key observation is the biased inter-satellite range,…

Instrumentation and Methods for Astrophysics · Physics 2021-04-12 Yihao Yan , Vitali Müller , Gerhard Heinzel , Min Zhong

Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Fabio Spada , Purnanand Elango , Behçet Açıkmeşe

This paper represents a first attempt of embedding the Barycentric Celestial Reference System, the fundamental relativistic reference system to be used for the modeling of Gaia observations, into some cosmological background. The general…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner , Michael H. Soffel

In this article we model a Global Navigation Satellite System (GNSS) in a Schwarzschild space-time, as a first approximation of the relativistic geometry around the Earth. The closed time-like and scattering light-like geodesics are…

General Relativity and Quantum Cosmology · Physics 2015-05-18 P. Delva , U. Kostic , A. Cadez

We address the feasibility of a GNSS-R code-altimetry space mission and more specifically a dominant term of its error budget: the reflected-signal range precision. This is the RMS error on the reflected-signal delay, as estimated by…

Atmospheric and Oceanic Physics · Physics 2007-05-23 O. Germain , G. Ruffini

Estimating the absolute orientation of a local system relative to a global navigation satellite system (GNSS) reference often suffers from local minima and high dependency on satellite availability. Existing methods for this alignment task…

Robotics · Computer Science 2026-05-20 Baoshan Song , Matthew Giamou , Penggao Yan , Chunxi Xia , Li-Ta Hsu

GipsyX/RTGx is the Jet Propulsion Laboratory's (JPL) next generation software package for positioning, navigation, timing, and Earth science using measurements from three geodetic techniques: Global Navigation Satellite Systems (GNSS),…

We present a theoretical foundation for relativistic astronomical measurements in curved space-time. In particular, we discuss a new iterative approach for describing the dynamics of an astronomical N-body system. To do this, we generalize…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

The rapid growth of cislunar activities, including lunar landings, the Lunar Gateway, and in-space refueling stations, requires advances in cost-efficient trajectory design and reliable integration of navigation and remote sensing.…

Earth and Planetary Astrophysics · Physics 2025-11-06 Arsalan Muhammad , Wasiu Akande Ahmed , Omada Friday Ojonugwa , Paul Puspendu Biswas

Aims: We computed a celestial reference frame (CRF) from Very Long Baseline Interferometry (VLBI) Global Observing System (VGOS) data after five years of regular observations (155 multi-baseline 24-hour VGOS sessions until 2024.0). In this…

Instrumentation and Methods for Astrophysics · Physics 2024-11-25 Hana Krasna , Christopher S. Jacobs , Matthias Schartner , Patrick Charlot

This paper is devoted to a practical model for relativistic reduction of positional observations with an accuracy of 1 \muas which is expected to be attained in the future space astrometry missions. All relativistic effects which are caused…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

Mitigating data gaps in Gamma-ray bursts (GRBs) light curves (LCs) is crucial for cosmological research, enhancing the precision of parameters, assuming perfect satellite conditions for complete LC coverage with no gaps. This analysis…

Lane detection stands as a crucial perception task in autonomous driving and advanced driver assistance systems. However, existing methods still degrade in complex real scenarios due to two major limitations. First, classification…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Tiancheng Wang , Zhaolu Ding , Richeng Xu , Tianhui Zheng , Hui Liu , Hanyu Xuan , Zhiliang Wu , Guanghui Yue

Future NASA lander missions to icy moons will require completely automated, accurate, and data efficient calibration methods for the robot manipulator arms that sample icy terrains in the lander's vicinity. To support this need, this paper…

Robotics · Computer Science 2023-03-08 Ersin Daş , Joel W. Burdick

In the current work, we have implemented an extension of the standard Gaussian Process formalism, namely the Multi-Task Gaussian Process with the ability to perform a joint learning of several cosmological data simultaneously. We have…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-15 Balakrishna S. Haridasu , Vladimir V. Luković , Michele Moresco , Nicola Vittorio
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