Preliminary orbit-determination method having no co-planar singularity

Baker, Robert M. L.; Jacoby, Neil H.

doi:10.1007/bf01228460

Cited by 9 publications

(5 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is necessary to attract an additional (the fourth) observation. One of possible ways of solution for four observations is pre sented in (Baker et al, 1977).…”

Section: Case Of the Motion In The Planementioning

confidence: 99%

Determination of the parabolic orbit for a body moving in the plane of the ecliptic, by the Laplace method

Кузнецов

2012

Sol Syst Res

View full text Add to dashboard Cite

A modification of the Laplace method for the determination of a preliminary orbit of a body mov ing in the plane of the ecliptic is presented. It is shown that on the basis of three close positions on the celestial sphere, the parabolic orbit can be determined in cases, when the classical Laplace method is not suitable. The numerical estimation of the number of possible solutions is carried out, and their spatial distribution depend ing on initial conditions is shown. An example of the determination of an orbit for the comet C/2007 N3 (Lulin) is given.

show abstract

“…It is necessary to attract an additional (the fourth) observation. One of possible ways of solution for four observations is pre sented in (Baker et al, 1977).…”

Section: Case Of the Motion In The Planementioning

confidence: 99%

Determination of the parabolic orbit for a body moving in the plane of the ecliptic, by the Laplace method

Кузнецов

2012

Sol Syst Res

View full text Add to dashboard Cite

show abstract

“…The combination of very short-arc observations with large noise values is the most critical condition for the DAIOD method, with semimajor axis errors ranging from 80 km to about 400 km. The third region, instead, covers the remaining portion of the map, with εa ∈ [10,80] km.…”

Section: A Numerical Simulationsmentioning

confidence: 99%

“…Over more than 200 years, several techniques have been proposed. Among these, Laplace's method [7], Gauss' method [8], the double R iteration method [9], Baker-Jacobi's method [10], Gooding's method [11], and Karimi and Mortari's methods [12] represent the most common ones. The second family of IOD methods processes range radars observables, i.e., angular and range measurements.…”

Section: Introductionmentioning

confidence: 99%

Robust Initial Orbit Determination for Surveillance Doppler-Only Radars

Losacco

Armellín

Yáñez

et al. 2023

IEEE Trans. Aerosp. Electron. Syst.

View full text Add to dashboard Cite

An initial orbit determination algorithm for surveillance Doppleronly radars with embedded quantification capabilities is presented. The method is based on a combination of Gauss' and Lambert's solvers formulated in the differential algebra (DA) framework, which provides the Taylor expansion of the state estimate with respect to the measurement uncertainties. This feature makes the approach particularly suitable for handling data association problems. The first part of the article describes the mathematical formulation of the method, while an extensive analysis of its performance and a comparison with a reference algorithm are carried out in the second part, using both simulated and real data. The proposed approach is shown to be accurate and robust and particularly suited to short-arc observations.

show abstract

“…In the literature there are several approaches to the formulation of the initial orbit determination based on a minimum number of angular observations. The problem is described in detail in [2], [3], [4], [5] and [6]. From the documented algorithms the following have been selected  Gauss: classical and simple algorithm that can be used as reference and whose performance is documented  Gooding: a more sophisticated algorithm that is used in more modern approached to this problem  Baker-Jacoby: uses a fourth observation to mitigate the coplanar singularity present in the other algorithms.…”

Section: The Angle-only Initial Orbit Determination Algorithmsmentioning

confidence: 99%

Comparison of angles only initial orbit determination algorithms for space debris cataloguing

Fadrique

Mate

Grau

et al. 2012

JAESA

View full text Add to dashboard Cite

The constantly increasing growth of the space debris population is also causing that more and more devices are looking into the sky in search of undetected objects. The process of orbit determination and further object cataloguing requires the initialisation of the object orbital state. This process is particularly complex in the cases when only angular observations from passive devices are available (e.g. topocentric right ascension and declination from a ground telescope). This paper describes the process of initial orbit determination when only a limited number of angular observations are available. Different orbital scenarios (e.g. LEO, MEO, GEO) are analysed together with the available algorithms. The analysis focuses on the suitability of the algorithm for the different orbital regimes and also in the robustness of the solution. The main objective of the analysis is to evaluate the adaptation of the algorithms and their parameterisation for the implementation in operational automated scenarios.

show abstract

Preliminary orbit-determination method having no co-planar singularity

Cited by 9 publications

References 3 publications

Determination of the parabolic orbit for a body moving in the plane of the ecliptic, by the Laplace method

Determination of the parabolic orbit for a body moving in the plane of the ecliptic, by the Laplace method

Robust Initial Orbit Determination for Surveillance Doppler-Only Radars

Comparison of angles only initial orbit determination algorithms for space debris cataloguing

Contact Info

Product

Resources

About