Assessment of numerical integration methods in the context of low Earth orbits and inter-satellite observation analysis

Papanikolaou, Thomas; Tsoulis, Dimitrios

doi:10.1007/s40328-016-0159-3

Cited by 14 publications

(6 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…General approach that is used in spacecraft orbital calculations is a numerical integration with various force models. Accuracy of calculated orbits for space missions should be at least 1 cm [21]. There are plenty of different factors that influence the cumulative forces acting on a spacecraft in Earth orbit.…”

Section: Methodsmentioning

confidence: 99%

Analysis of Orbital Configurations for Millimetron Space Observatory

Rudnitskiy,

Mzhelskiy,

Shchurov

et al. 2021

Preprint

View full text Add to dashboard Cite

In this contribution a primary feasibility study of different orbital configurations for Millimetron space observatory is presented. Priority factors and limitations were considered by which it is possible to assess the capabilities of a particular orbit. It included technical and scientific capabilities of each orbit regarding the fuel costs, satellite observability, the quality of very long baseline interferometric (VLBI) imaging observations and source visibilities.

show abstract

Section: Methodsmentioning

confidence: 99%

Analysis of Orbital Configurations for Millimetron Space Observatory

Rudnitskiy,

Mzhelskiy,

Shchurov

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…integrator [ 30 ], which models the following forces: Earth central gravitation, Earth non-spherical forces, such as geopotential, solid tides, ocean tides, solar, and lunar gravitation, solar radiation pressure. Further details on the implementation of the model can be found in [ 2 , 19 , 31 , 32 , 33 ].…”

Section: So Kinematic Prediction Modelmentioning

confidence: 99%

Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter

Cament

Adams

Barrios

2021

Sensors

View full text Add to dashboard Cite

This paper presents a Bayesian filter based solution to the Space Object (SO) tracking problem using simulated optical telescopic observations. The presented solution utilizes the Probabilistic Admissible Region (PAR) approach, which is an orbital admissible region that adheres to the assumption of independence between newborn targets and surviving SOs. These SOs obey physical energy constraints in terms of orbital semi-major axis length and eccentricity within a range of orbits of interest. In this article, Low Earth Orbit (LEO) SOs are considered. The solution also adopts the Partially Uniform Birth (PUB) intensity, which generates uniformly distributed births in the sensor field of view. The measurement update then generates a particle SO distribution. In this work, a Poisson Labeled Multi-Bernoulli (PLMB) multi-target tracking filter is proposed, using the PUB intensity model for the multi-target birth density, and a PAR for the spatial density to determine the initial orbits of SOs. Experiments are demonstrated using simulated SO trajectories created from real Two-Line Element data, with simulated measurements from twelve telescopes located in observatories, which form part of the Falcon telescope network. Optimal Sub-Pattern Assignment (OSPA) and CLEAR MOT metrics demonstrate encouraging multi-SO tracking results even under very low numbers of observations per SO pass.

show abstract

“…The performance of the numerical integration methods is critical and depends on the integration step and the method's order. The impact of the numerical integrators in dynamic orbit determination has been extensively investigated in a previous study [34]. In the current analysis, we apply the Gauss-Jackson numerical integration method that solves directly 2nd order differential equations.…”

Section: Dynamic Orbit Determinationmentioning

confidence: 99%

“…Our source code has been developed by [31] and has been used in orbit analysis by [34,41]. The current version follows the orbit modelling summarized in Table 1 and incorporates the gravity field models presented in Table 2.…”

Section: Grace and Goce Orbit Analysismentioning

confidence: 99%

Assessment of Earth Gravity Field Models in the Medium to High Frequency Spectrum Based on GRACE and GOCE Dynamic Orbit Analysis

Papanikolaou

Tsoulis

2018

Geosciences

Self Cite

View full text Add to dashboard Cite

An analysis of current static and time-variable gravity field models is presented focusing on the medium to high frequencies of the geopotential as expressed by the spherical harmonic coefficients. A validation scheme of the gravity field models is implemented based on dynamic orbit determination that is applied in a degree-wise cumulative sense of the individual spherical harmonics. The approach is applied to real data of the Gravity Field and Steady-State Ocean Circulation (GOCE) and Gravity Recovery and Climate Experiment (GRACE) satellite missions, as well as to GRACE inter-satellite K-band ranging (KBR) data. Since the proposed scheme aims at capturing gravitational discrepancies, we consider a few deterministic empirical parameters in order to avoid absorbing part of the gravity signal that may be included in the monitored orbit residuals. The present contribution aims at a band-limited analysis for identifying characteristic degree ranges and thresholds of the various GRACE- and GOCE-based gravity field models. The degree range 100–180 is investigated based on the degree-wise cumulative approach. The identified degree thresholds have values of 130 and 160 based on the GRACE KBR data and the GOCE orbit analysis, respectively.

show abstract

Assessment of numerical integration methods in the context of low Earth orbits and inter-satellite observation analysis

Cited by 14 publications

References 48 publications

Analysis of Orbital Configurations for Millimetron Space Observatory

Analysis of Orbital Configurations for Millimetron Space Observatory

Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter

Assessment of Earth Gravity Field Models in the Medium to High Frequency Spectrum Based on GRACE and GOCE Dynamic Orbit Analysis

Contact Info

Product

Resources

About