A Bi-quintic Latitude/Longitude Spline and Lunar Surface Modeling for Spacecraft Navigation

Psiaki, Mark L.; Ward, Kari C.; DeMars, Kyle J.

doi:10.1007/s40295-019-00192-1

Cited by 4 publications

(5 citation statements)

References 12 publications

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“…The simulation enables testing of different combinations of ground station arrays, ionosphere error models, and other parameters. Computation for an N e ( r ) electron density truth model utilizes a Chapman profile that is fit to an IRI model for a particular time (Psiaki et al., 2015). A similar procedure is used to generate an a priori estimate of the ionosphere parameter vector for use in the batch filter's cost function.…”

Section: Preliminary Resultsmentioning

confidence: 99%

“…See Psiaki et al. (2015) on the Chapman parameter fitting procedure. The resulting 365 × 4 = 1,460 parameter vectors were used to compute a covariance matrix for p , i.e., for the natural logarithm and natural logarithm partial derivatives of all three Chapman model parameters at the spline nodes.…”

Section: Earth and Ionosphere Modelsmentioning

confidence: 99%

“…Ray‐path solution uniqueness is a second matter of concern. Multiple solutions are theoretically possible if the cost function has multiple minima that are zero as demonstrated in Australian Government (2016). In the early work that utilized a simplified ray‐path model (Baumgarten & Psiaki, 2017), a given set of inputs that included transmitter and receiver position, an ionosphere model, and the number of ray hops sometimes yielded more than one possible solution.…”

Section: Ray Paths Multiple‐hop Calculations and Measurement Modelsmentioning

confidence: 99%

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Navigation and ionosphere characterization using high‐frequency signals: Models and solution concepts

Baumgarten

Psiaki²,

Hysell

2021

Navigation

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A navigation concept is being developed that relies on passive one-way ranging using pseudorange and beat carrier-phase measurements of high-frequency (HF) beacon signals that travel along non-line-of-sight paths via ionosphere refraction. This concept is being developed as an alternative to GNSS positioning services.If the set of signals that reaches a user receiver has sufficient geometric diversity, then the position of that receiver can be determined uniquely. Ionospheric modeling uncertainty causes errors in the deduced user position, but these errors are compensated by estimating corrections to a parametric model of the ionosphere as part of the navigation solution. A batch filter estimates the user position and corrections to an a priori ionosphere model. In simulated case studies involving significant errors in the a priori ionospheric parameters, the total positioning error is on the order of tens of meters in the horizontal plane and on the order of meters vertically.

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Section: Preliminary Resultsmentioning

confidence: 99%

Section: Earth and Ionosphere Modelsmentioning

confidence: 99%

Section: Ray Paths Multiple‐hop Calculations and Measurement Modelsmentioning

confidence: 99%

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Navigation and ionosphere characterization using high‐frequency signals: Models and solution concepts

Baumgarten

Psiaki²,

Hysell

2021

Navigation

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“…Spline nodes were placed at predefined latitudes and longitudes along circles of constant latitude. Additional information on spline computations, spline stored data, and nodes placement is provided in Baumgarten et al (2021), Baumgarten (2018), andPsiaki et al (2019).…”

Section: Earth and Ionosphere Modelsmentioning

confidence: 99%

“…The three-dimensional ionosphere model is defined by the three Chapman vertical profile parameter values' natural logarithms at each of the latitude/longitude nodes along with all of their latitude and longitude partial derivatives of up to second order in latitude, longitude, or both. This parameterization and its calculation from the IRI model are described in Psiaki et al (2015Psiaki et al ( , 2019. It should be noted that the Chapman model ignores the possibility of distinct D and E layers, including a sporadic E layer.…”

Section: Truth-model Simulationmentioning

confidence: 99%

Navigation and Ionosphere Characterization Using High-Frequency Signals: A Performance Analysis

Baumgarten

Psiaki

Hysell

2022

navi

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Alternatives to satellite-based navigation have been widely explored in the past two decades. This search is motivated by concerns about the rise of threats from jamming and spoofing. High-frequency (HF) navigation is a concept that has been proposed by Baumgarten and Psiaki (2017) and Baumgarten et al. ( 2021) as an alternative radio-based positioning method. It relies on the determination of the exact paths traveled by electromagnetic signals with carrier frequencies in the range 2-10 MHz. These signals, which are broadcast from static ground stations, are refracted from the ionosphere to arrive at a receiver whose location is to be determined. The present study explores the potential performance of the proposed method.Radio-navigation methods are generally based on the fusion of multiple measurements of radio-frequency (RF) signals and require mathematical models for the measured observables. In the context of HF navigation, these observables include range-equivalent group delays and range-equivalent beat carrier phases. The measurement models for these two observables require refractive ray-tracing

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On the solution to every Lambert problem

Russell

2019

Celest Mech Dyn Astr

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A Bi-quintic Latitude/Longitude Spline and Lunar Surface Modeling for Spacecraft Navigation

Cited by 4 publications

References 12 publications

Navigation and ionosphere characterization using high‐frequency signals: Models and solution concepts

Navigation and ionosphere characterization using high‐frequency signals: Models and solution concepts

Navigation and Ionosphere Characterization Using High-Frequency Signals: A Performance Analysis

On the solution to every Lambert problem

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