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Future missions, including the Habitable Worlds Observatory, will aim to image Earth-like exoplanets around Sun-like stars in reflected light. Determining whether an exoplanet is in the habitable zone of its star may be difficult in…

Earth and Planetary Astrophysics · Physics 2026-04-13 Samantha N. Hasler , Leonid Pogorelyuk , Riley Fitzgerald , Kerri Cahoy , Rhonda Morgan

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…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

When dealing with an orbit determination problem, uncertainties naturally arise from intrinsic errors related to observation devices and approximation models. Following the least squares method and applying approximation schemes such as the…

Chaotic Dynamics · Physics 2024-05-24 Nicola Bertozzi , Claudio Bonanno

Periodic orbits are important objects of discrete dynamical systems, but finding them is not always easy. We present a self-contained introductory account, aimed at non-experts, to prove their existence and study their stability using the…

Dynamical Systems · Mathematics 2025-10-09 Lucía Alonso Mozo , Olivier Hénot , Phillipo Lappicy

We present the results of a large scale simulation, reproducing the behavior of a data center for the build-up and maintenance of a complete catalog of space debris in the upper part of the low Earth orbits region (LEO). The purpose is to…

Dynamical Systems · Mathematics 2015-05-28 Andrea Milani , Davide Farnocchia , Linda Dimare , Alessandro Rossi , Fabrizio Bernardi

Spacecraft formation flying serves as a method of astronomical instrumentation that enables the construction of large virtual structures in space. The formation-flying interferometry generally requires very-high control accuracy, and…

Instrumentation and Methods for Astrophysics · Physics 2024-02-06 Takahiro Ito

Probabilistic collision detection (PCD) is essential in motion planning for robots operating in unstructured environments, where considering sensing uncertainty helps prevent damage. Existing PCD methods mainly used simplified geometric…

Robotics · Computer Science 2025-08-28 Xiaoli Wang , Sipu Ruan , Xin Meng , Gregory Chirikjian

This paper presents an integrated model-learning predictive control scheme for spacecraft orbit-attitude station-keeping in the vicinity of asteroids. The orbiting probe relies on optical and laser navigation while attitude measurements are…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Julio C. Sanchez , Rafael Vazquez , James D. Biggs , Franco Bernelli-Zazzera

We explore the potential of our novel triaxial modeling machinery in recovering the viewing angles, the shape and the orbit distribution of galaxies by using a high-resolution $N$-body merger simulation. Our modelling technique includes…

Astrophysics of Galaxies · Physics 2022-11-22 Stefano de Nicola , Bianca Neureiter , Jens Thomas , Roberto P. Saglia , Ralf Bender

(Abridged) The probability of detecting additional companions is essentially unchanged with respect to the single-planet configurations, but after fitting and subtraction of orbits with astrometric signal-to-noise ratio $\alpha/\sigma_d\to…

Astrophysics · Physics 2009-11-07 A. Sozzetti , S. Casertano , R. A. Brown , M. G. Lattanzi

In this paper, we study the problems of computing the 1-center, centroid, and 1-median of objects moving with bounded speed in Euclidean space. We can acquire the exact location of only a constant number of objects (usually one) per unit…

Computational Geometry · Computer Science 2024-01-09 William Evans , Seyed Ali Tabatabaee

Recent investigations (e.g. Han et al. 2001) have shown that fitting the Hipparcos observations with an orbital model when the astrometric wobble caused by the companion is below the noise level can have rather unexpected consequences. With…

Astrophysics · Physics 2009-11-07 D. Pourbaix

This paper presents a novel algorithm to incorporate orbital parameters into radar ambiguity function expressions by extending the standard ambiguity function to match Keplerian two-body orbits. A coherent orbital matched-filter will…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Brendan Hennessy , Mark Rutten , Steven Tingay , Robert Young

Conjunction assessment requires knowledge of the uncertainty in the predicted orbit. Errors in the atmospheric density are a major source of error in the prediction of low Earth orbits. Therefore, accurate estimation of the density and…

Earth and Planetary Astrophysics · Physics 2020-04-24 David J. Gondelach , Richard Linares

We present the results of our investigation on the use of the two-body integrals to compute preliminary orbits by linking too short arcs of observations of celestial bodies. This work introduces a significant improvement with respect to the…

Mathematical Physics · Physics 2020-04-22 Giovanni F. Gronchi , Giulio Bau' , Stefano Maro'

Short-arc orbit determination is crucial when an asteroid is first discovered. In these cases usually the observations are so few that the differential correction procedure may not converge. We have developed an initial orbit computation…

Earth and Planetary Astrophysics · Physics 2018-06-13 F. Spoto , A. Del Vigna , A. Milani , G. Tommei , P. Tanga , F. Mignard , B. Carry , W. Thuillot , P. David

We consider the problem of estimating the distance, or range, between two locations by measuring the phase of multiple sinusoidal signals transmitted between the locations. Traditional estimators developed for optical interferometry include…

Information Theory · Computer Science 2016-09-21 Assad Akhlaq , Robby McKilliam , Ramanan Subramanian , Andre Pollok

The problem of determination of the orbital velocity of an astrometric satellite from its own observational data is studied. It is well known that data processing of microarcsecond-level astrometric observations imposes very stringent…

Astrophysics · Physics 2008-02-11 Alexey G. Butkevich , Sergei A. Klioner

Reliable uncertainty estimation is crucial for perception systems in safe autonomous driving. Recently, many methods have been proposed to model uncertainties in deep learning based object detectors. However, the estimated probabilities are…

Robotics · Computer Science 2019-09-30 Di Feng , Lars Rosenbaum , Claudius Glaeser , Fabian Timm , Klaus Dietmayer

Orientation estimation is a fundamental task in 3D shape analysis which consists of estimating a shape's orientation axes: its side-, up-, and front-axes. Using this data, one can rotate a shape into canonical orientation, where its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Christopher Scarvelis , David Benhaim , Paul Zhang