LinCov Analysis of an Automated Celestial Inertial Navigation Approach for GEO Satellites

Stastny, Nathan B.; Bettinger, Robert A.; Chavez, Frank R.; Afb, Kirtland

doi:10.2514/6.2008-6756

Cited by 4 publications

(2 citation statements)

References 4 publications

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“…. The navigation state update described by equation 11is also linearized along with the measurement equations (8) and (12) to yield…”

Section: Nonlinear Modelingmentioning

confidence: 99%

“…Historically, linear covariance theory has been applied to general estimation theory problems, 1–3 as well as in the design and analysis of orbit determination algorithms, 4–7 inertial navigation systems, 8–11 and attitude determination systems. 12–14 These analysis approaches are more commonly known as consider analysis , 4,15,16 true covariance analysis , 12 or generalized covariance analysis .…”

Section: Introductionmentioning

confidence: 99%

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Linear covariance techniques for closed-loop guidance navigation and control system design and analysis

Christensen¹,

Geller

2012

Proceedings of the Institution of Mechanical Engineers, Part G:

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While linear covariance analysis is widely used for navigation system design and analysis, it is often overlooked as a tool for closed-loop guidance navigation and control (GN&C) system design and analysis. This article presents an overview of the techniques and methods required to develop a linear covariance analysis tool for a close-loop GN&C system. Then, using a simple nonlinear closed-loop GN&C problem as a guide, the capabilities of linear covariance analysis for the design and analysis of closed-loop systems are demonstrated. It is shown that linear covariance can be accurately applied to a closedloop system with time-to-go guidance, dead-reckoning navigation, and a Kalman filter for state estimation. The accuracy and efficiency of linear covariance analysis is shown by direct comparison to Monte Carlo analysis results, and the value of linear covariance analysis is highlighted by presenting several analysis capabilities that are often required in the design and analysis of closed-loop GN&C systems. It is also shown how the efficiency of linear covariance enables new design methodologies, one of which is presented in this article, that would otherwise be prohibitive with Monte Carlo analysis.

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“…. The navigation state update described by equation 11is also linearized along with the measurement equations (8) and (12) to yield…”

Section: Nonlinear Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Linear covariance techniques for closed-loop guidance navigation and control system design and analysis

Christensen¹,

Geller

2012

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

show abstract

Linear Covariance Techniques for Closed-Loop Attitude Determination and Control Analysis

Leiter

Geller

2015

Advances in Estimation, Navigation, and Spacecraft Control

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Selection and Analysis of Observation Modes of Upper-Stage Autonomous Orbit Determination

Chen

Xue

Wang

2021

Lecture Notes in Electrical Engineering

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LinCov Analysis of an Automated Celestial Inertial Navigation Approach for GEO Satellites

Cited by 4 publications

References 4 publications

Linear covariance techniques for closed-loop guidance navigation and control system design and analysis

Linear covariance techniques for closed-loop guidance navigation and control system design and analysis

Linear Covariance Techniques for Closed-Loop Attitude Determination and Control Analysis

Selection and Analysis of Observation Modes of Upper-Stage Autonomous Orbit Determination

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