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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 recent years, the technology in visual-inertial odometry (VIO) has matured considerably and has been widely used in many applications. However, we still encounter challenges when applying VIO to a micro air vehicle (MAV) equipped with a…

机器人学 · 计算机科学 2023-11-17 Bo Dong , Yongkang Tao , Deng Peng , Zhigang Fu

We introduce a new method to perform preliminary orbit determination for space debris on low Earth orbits (LEO). This method works with tracks of radar observations: each track is composed by $n\ge 4$ topocentric position vectors per pass…

数学物理 · 物理学 2015-01-30 Giovanni F. Gronchi , Linda Dimare , Davide Bracali Cioci , Helene Ma

Odometry is crucial for robot navigation, particularly in situations where global positioning methods like global positioning system (GPS) are unavailable. The main goal of odometry is to predict the robot's motion and accurately determine…

机器人学 · 计算机科学 2024-01-01 Dongjae Lee , Minwoo Jung , Wooseong Yang , Ayoung Kim

Radar odometry is crucial for robust localization in challenging environments; however, the sparsity of reliable returns and distinctive noise characteristics impede its performance. This paper introduces geometrically-constrained…

机器人学 · 计算机科学 2026-04-06 Wooseong Yang , Dongjae Lee , Minwoo Jung , Ayoung Kim

In the last decades, Light Detection And Ranging (LiDAR) technology has been extensively explored as a robust alternative for self-localization and mapping. These approaches typically state ego-motion estimation as a non-linear optimization…

LiDAR odometry is the task of estimating the ego-motion of the sensor from sequential laser scans. This problem has been addressed by the community for more than two decades, and many effective solutions are available nowadays. Most of…

机器人学 · 计算机科学 2024-05-10 Simone Ferrari , Luca Di Giammarino , Leonardo Brizi , Giorgio Grisetti

The research into autonomous driving applications has observed an increase in computer vision-based approaches in recent years. In attempts to develop exclusive vision-based systems, visual odometry is often considered as a key element to…

计算机视觉与模式识别 · 计算机科学 2020-09-22 Kai Li Lim , Thomas Bräunl

Orbit determination is possible for a chaotic orbit of a dynamical system, given a finite set of observations, provided the initial conditions are at the central time. In a simple discrete model, the standard map, we tackle the problem of…

地球与行星天体物理 · 物理学 2016-01-20 Federica Spoto , Andrea Milani

Inertial odometry (IO) using only Inertial Measurement Units (IMUs) offers a lightweight and cost-effective solution for Unmanned Aerial Vehicle (UAV) applications, yet existing learning-based IO models often fail to generalize to UAVs due…

机器人学 · 计算机科学 2025-06-17 Yuheng Qiu , Can Xu , Yutian Chen , Shibo Zhao , Junyi Geng , Sebastian Scherer

Most existing visual-inertial odometry (VIO) initialization methods rely on accurate pre-calibrated extrinsic parameters. However, during long-term use, irreversible structural deformation caused by temperature changes, mechanical…

机器人学 · 计算机科学 2024-12-12 Zewen Xu , Yijia He , Hao Wei , Yihong Wu

The hodograph, i.e. the path traced by a body in velocity space, was introduced by Hamilton in 1846 as an alternative for studying certain dynamical problems. The hodograph of the Kepler problem was then investigated and shown to be a…

Inertial odometry (IO) directly estimates the position of a carrier from inertial sensor measurements and serves as a core technology for the widespread deployment of consumer grade localization systems. While existing IO methods can…

机器人学 · 计算机科学 2025-10-14 Shanshan Zhang , Siyue Wang , Qi Zhang Liqin Wu , Tianshui Wen , Ziheng Zhou , Xuemin Hong , Lingxiang Zheng , Yu Yang

The first integrals of the Kepler problem are used to compute preliminary orbits starting from two short observed arcs of a celestial body, which may be obtained either by optical or radar observations. We write polynomial equations for…

数学物理 · 物理学 2015-05-27 Giovanni F. Gronchi , Davide Farnocchia , Linda Dimare

In this paper we deal with the problem of odometry and localization for Lidar-equipped vehicles driving in urban environments, where a premade target map exists to localize against. In our problem formulation, to correct the accumulated…

机器人学 · 计算机科学 2020-07-06 David Rozenberszki , Andras Majdik

Visual-inertial odometry (VIO) is the pose estimation backbone for most AR/VR and autonomous robotic systems today, in both academia and industry. However, these systems are highly sensitive to the initialization of key parameters such as…

机器人学 · 计算机科学 2022-08-03 Yunwen Zhou , Abhishek Kar , Eric Turner , Adarsh Kowdle , Chao X. Guo , Ryan C. DuToit , Konstantine Tsotsos

Visual odometry techniques typically rely on feature extraction from a sequence of images and subsequent computation of optical flow. This point-to-point correspondence between two consecutive frames can be costly to compute and suffers…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Chenqi Zhu , Levi Burner , Yiannis Aloimonos

Here we revisit an initial orbit determination method introduced by O. F. Mossotti employing four geocentric sky-plane observations and a linear equation to compute the angular momentum of the observed body. We then extend the method to…

地球与行星天体物理 · 物理学 2021-09-29 Giovanni F. Gronchi , Giulio Baù , Óscar Rodríguez , Robert Jedicke , Joachim Moeyens

Vehicle odometry is an essential component of an automated driving system as it computes the vehicle's position and orientation. The odometry module has a higher demand and impact in urban areas where the global navigation satellite system…

机器人学 · 计算机科学 2021-09-14 Nikhil Jonnavithula , Yecheng Lyu , Ziming Zhang

The hodograph of the Kepler-Coulomb problem, that is, the path traced by its velocity vector, is shown to be a circle and then it is used to investigate other properties of the motion. We obtain the configuration space orbits of the problem…