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In orbital mechanics, Gauss's method for orbit determination (OD) is a popular, minimal assumption solution for obtaining the initial state estimate of a passing resident space object (RSO). Since much of the cislunar domain relies on…

Earth and Planetary Astrophysics · Physics 2026-02-23 Ishan Paranjape , Tarun Hejmadi , Suman Chakravorty

Initial orbit determination (IOD) is an important early step in the processing chain that makes sense of and reconciles the multiple optical observations of a resident space object. IOD methods generally operate on line-of-sight (LOS)…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Chee-Kheng Chng , Trent Jansen-Sturgeon , Timothy Payne , Tat-Jun Chin

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…

Earth and Planetary Astrophysics · Physics 2025-05-27 Alberto Fossà , Matteo Losacco , Roberto Armellin

Initial orbit determination (IOD) from line-of-sight (i.e., bearing) measurements is a classical problem in astrodynamics. Indeed, there are many well-established methods for performing the IOD task when given three line-of-sight…

Earth and Planetary Astrophysics · Physics 2023-04-06 Michela Mancini , Timothy Duff , Anton Leykin , John A. Christian

This work introduces the problem of initial orbit determination (IOD) from only heading measurements. Such a problem occurs in practice when estimating the orbit of a spacecraft using visual odometry measurements from an optical camera.…

Optimization and Control · Mathematics 2023-01-19 John A. Christian

This paper develops a robust angles-only IROD method based on polynomial optimization for arbitrary nonlinear dynamics. First, the relative motion is approximated by high-order Taylor polynomials within the differential algebra framework,…

Instrumentation and Methods for Astrophysics · Physics 2026-04-28 Xingyu Zhou , Malcolm Macdonald , Roberto Armellin , Dong Qiao , Xiangyu Li

Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of the ''angles-only'' IOD in three-dimensional space: find a…

Algebraic Geometry · Mathematics 2025-09-19 Ruiqi Huang , Anton Leykin , Michela Mancini

Since Intersection-over-Union (IoU) based optimization maintains the consistency of the final IoU prediction metric and losses, it has been widely used in both regression and classification branches of single-stage 2D object detectors.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hualian Sheng , Sijia Cai , Na Zhao , Bing Deng , Jianqiang Huang , Xian-Sheng Hua , Min-Jian Zhao , Gim Hee Lee

In the domain of Space Situational Awareness (SSA), the challenges pertaining to orbit determination and catalog correlation are notably pronounced, partly attributable to the escalating presence of non-cooperative satellites engaging in…

Space Physics · Physics 2024-04-02 Jose M. Montilla , Jan A. Siminski , Rafael Vazquez

Recent advances in space technology provide an opportunity for small satellites to be launched in cislunar space. However, tracking these small satellites still depends on ground-based operations. Autonomous navigation could be a possible…

Systems and Control · Electrical Eng. & Systems 2022-05-02 Erdem Turan , Stefano Speretta , Eberhard Gill

Aggressive motions from agile flights or traversing irregular terrain induce motion distortion in LiDAR scans that can degrade state estimation and mapping. Some methods exist to mitigate this effect, but they are still too simplistic or…

Robotics · Computer Science 2023-03-08 Kenny Chen , Ryan Nemiroff , Brett T. Lopez

With the increase in the number of active satellites and space debris in orbit, the problem of initial orbit determination (IOD) becomes increasingly important, demanding a high accuracy. Over the years, different approaches have been…

Optimization and Control · Mathematics 2024-08-07 Ricardo Ferreira , Filipa Valdeira , Marta Guimarães , Cláudia Soares

Accurate relative orbit determination is a significant challenge in modern space operations, particularly when relying only on angular measurements. The inherent observability limitations of this approach make initial state estimation…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Kui Xie , Giovanni Romagnoli , Giordana Bucchioni , Alberto Bemporad

Many smartphone applications use inertial measurement units (IMUs) to sense movement, but the use of these sensors for pedestrian localization can be challenging due to their noise characteristics. Recent data-driven inertial odometry…

Robotics · Computer Science 2021-02-09 Scott Sun , Dennis Melamed , Kris Kitani

Oriented object detection has been developed rapidly in the past few years, where rotation equivariance is crucial for detectors to predict rotated boxes. It is expected that the prediction can maintain the corresponding rotation when…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Hang Xu , Xinyuan Liu , Haonan Xu , Yike Ma , Zunjie Zhu , Chenggang Yan , Feng Dai

With debris larger than 1 cm in size estimated to be over one million, precise cataloging efforts are essential to ensure space operations' safety. Compounding this challenge is the oversubscribed problem, where the sheer volume of space…

Numerical Analysis · Mathematics 2025-03-13 Cristina Parigini , Laura Pirovano , Roberto Armellin , Darren McKnight , Adam Marsh , Tom Reddell

Due to the importance of satellites for society and the exponential increase in the number of objects in orbit, it is important to accurately determine the state (e.g., position and velocity) of these Resident Space Objects (RSOs) at any…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Ricardo Ferreira , Marta Guimarães , Filipa Valdeira , Cláudia Soares

We propose a method to account for the Earth oblateness effect in preliminary orbit determination of satellites in low orbits with radar observations. This method is an improvement of the one described in (Gronchi et al 2015), which uses a…

Space Physics · Physics 2018-10-24 Helene Ma , Giovanni F. Gronchi , Davide Bracali Cioci

Over the past decade, lidars have become a cornerstone of robotics state estimation and perception thanks to their ability to provide accurate geometric information about their surroundings in the form of 3D scans. Unfortunately, most of…

Robotics · Computer Science 2024-10-08 Cedric Le Gentil , Raphael Falque , Teresa Vidal-Calleja

This paper proposes a nonlinear guidance algorithm for fuel-optimal impulsive trajectories for rendezvous operations close to a reference orbit. The approach involves overparameterized monomial coordinates and a high-order approximation of…

Optimization and Control · Mathematics 2026-01-12 Omar Regantini , Ethan R. Burnett , Antonio Rizza , Alessandro Morselli , Francesco Topputo
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