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Probabilistic Methods for Initial Orbit Determination and Orbit Determination in Cislunar Space
CoRRIn 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 three-body dynamics, a key assumption of Gauss's method is rendered incompatible, creating a need for a new, minimal ...
Ishan Paranjape +2 more
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Initial orbit determination methods for track-to-track association
Advances in Space Research, 2021 The detection and identification of Resident Space Objects (RSOs) from survey tracks requires robust and efficient orbit determination methods for the association of observations of the same RSO.
Manuel Sanjurjo Rivo +2 more
exaly +2 more sources
Projective Plane Subdivision Method for Initial Orbit Determination
Computer Algebra in Scientific Computing17 pages, 9 ...
Ruiqi Huang +2 more
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Initial Orbit Determination Solution Distribution with Gooding Algorithm and Performance Enhancement
Space: Science & TechnologyAn initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space object.
Zhengyuan Zhang +4 more
doaj +2 more sources
Dynamic Triangulation for Cislunar Initial Orbit Determination
The Journal of the Astronautical SciencesAbstract Conventional angles-only initial orbit determination algorithms assume Keplerian dynamics and are not always well-adapted to finding the orbits of objects on cislunar trajectories. We propose a solution to this problem based on the concept of dynamic triangulation, which is a type of triangulation algorithm that produces a ...
Liam Smego, John Christian
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Initial Orbit Determination from Only Heading Measurements
Journal of Spacecraft and Rockets, 2023 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. After reviewing the problem geometry, a simple solution is developed in the form of an iterative scheme on the ...
Christian, John A.
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Numerical behaviour of the Keplerian Integrals methods for initial orbit determination
Icarus, 2022 We investigate the behaviour of two recent methods for the computation of preliminary orbits. These methods are based on the conservation laws of Kepler's problem, and enable the linkage of very short arcs of optical observations even when they are separated in time by a few years.
Óscar Rodríguez +3 more
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Using co-located range and Doppler radars for initial orbit determination
Acta AstronauticaWith 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 objects surpasses ground-based observatories' observational capacity. This results in sparse, brief observations and
Cristina Parigini +5 more
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IEEE Transactions on Aerospace and Electronic SystemsWith 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 presented such as filtering methods (for example, Extended Kalman Filter), differential algebra or solving Lambert's ...
Ricardo Ferreira 0002 +3 more
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Initial Orbit Determination Based on Propagation of Orbit Sets with Differential Algebra [PDF]
, 2017 The object of this paper is the initial orbit determination of an orbit set compatible with an observational arc by means of differential algebra. The initial estimate is retrieved as a truncated power series expanded with respect to the uncertainties in the measurements. The analysis of the region is performed with the automatic domain splitting, that
Pirovano, L. +4 more
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