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    AI Overview
    A high-quality dual-axis error model for inertial systems (RINS) or sensors (like the
    INC60 ) focuses on integrating non-orthogonal installation errors, sensor biases, and scale factors, often calibrated using Kalman filtering . The model accounts for both IMU-to-rotation-axis misalignment and inter-sensor non-orthogonality, usually employing 4-position or 8-position rotation schemes to modulate and compensate for errors, improving accuracy by over 4% within 12 minutes.
    Key Components of a High-Quality Dual-Axis Error Model:
    • Sensor Non-Orthogonality: Models the non-orthogonal installation errors of gyroscopes and accelerometers.
    • Installation Errors: Accounts for the misalignment between the Inertial Measurement Unit (IMU) body frame and the rotation axes.
    • Modulation/Calibration: Utilizes specific rotation schemes (e.g., 4-position, 8-position) to cancel accumulated errors via inversion.
    • Self-Calibration Technique: Employs Kalman filters to estimate all parameters together,, often based on the constraint of rotation, to enhance observability.
    • Error Dynamics: Incorporates first-order Markov processes for gyroscope bias, along with white noise, as seen in ION Navi journal studies and RINS error studies .
    This video explains the importance of considering non-orthogonality in dual-axis calibration:
    Related video thumbnail
    53s
    Institute of Navigation
    YouTube • Oct 1, 2025
    Common Applications and Performance:
    • RIMU (Rotational Inertial Measurement Unit): 8-position schemes are used to ensure full-cycle compensation of errors.
    • Inclinometers: Dual-axis tilt sensors utilize compensation for temperature-dependent sensitivity drift, such as
      E s d = S D × Δ T × θ cap E sub s d end-sub equals cap S cap D cross cap delta cap T cross theta
      𝐸 𝑠 𝑑 = 𝑆 𝐷 × Δ 𝑇 × 𝜃
      .
    • High-Accuracy Systems: These models are essential for reducing velocity and position errors in tactical-grade RINS.
    This video discusses how to fix mechanical issues, which can be part of an overall error reduction strategy:
    Related video thumbnail
    55s
    Defpom's Electronics Repair
    YouTube • Dec 22, 2022
    Alternative Context (Visualization):
    In data visualization, a dual-axis chart combines two data series with different Y-axes, which is used to compare metrics like sales over time, according to YouTube video on deceptive charts and Flourish blog .
    This video explains how to create a dual-axis line chart for data visualization:
    Related video thumbnail
    04:33
    Smart Vision Europe
    YouTube • Jul 17, 2022
    This video explains the dangers of using dual-axis plots for comparing different scales:
    Related video thumbnail
    59s
    Don't Use This Code • James Powell
    YouTube • Jan 29, 2025
    • A Fast Self-Calibration Method for Dual-Axis Rotational Inertial ...
      First, navigation parameter errors in the inertial frame are expressed as invariant errors. This allows the corresponding error mo...
      National Institutes of Health (NIH) | (.gov)
    • A Dual-Axis Rotation Scheme for Redundant ... - PMC
      3.3. ... According to the rotation axis switching principle and the reciprocating rotation principle, and considering the characte...
      National Institutes of Health (NIH) | (.gov)
    • A System-Level Self-Calibration Method for Installation Errors ...
      Abstract. In a dual-axis rotational inertial navigation system (RINS), there are two kinds of installation errors, nonorthogonal i...
      National Institutes of Health (NIH) | (.gov)
    Show all
    • A Fast Self-Calibration Method for Dual-Axis Rotational Inertial ...
      First, navigation parameter errors in the inertial frame are expressed as invariant errors. This allows the corresponding error mo...
      National Institutes of Health (NIH) | (.gov)
    • A Dual-Axis Rotation Scheme for Redundant ... - PMC
      3.3. ... According to the rotation axis switching principle and the reciprocating rotation principle, and considering the characte...
      National Institutes of Health (NIH) | (.gov)
    • A System-Level Self-Calibration Method for Installation Errors ...
      Abstract. In a dual-axis rotational inertial navigation system (RINS), there are two kinds of installation errors, nonorthogonal i...
      National Institutes of Health (NIH) | (.gov)
    • An error modulation scheme for a dual-axis rotational ... - IOP Science
      May 19, 2025 — Error propagation equation of RINS. The error propagation equations for RINS describe the evolution of attitude, velocity, and pos...
      IOPscience
    • A Novel Co-Calibration Method for a Dual Heterogeneous ...
      Oct 12, 2023 — 3.1 System Equation Modeling of the Dual INS * where represents the earth's rotation rate vector with respect to the inertial fram...
      The Institute of Navigation
    • INC60 High Accuracy Dual Axis Tilt Sensor - SkyMEMS
      1). The accuracy is mainly affected by the installation error. Since the installation error is inevitable, during the installation...
      SkyMEMS
    • VS Series Inclinometer : Dual Axis, RS232 and Analogue ...
      When the temperature changes there is a change in sensitivity of the sensor's output. The error this causes in the measurement is ...
      Level Developments
    • \ Evaluation of the Prototype Dual-Axis Wall Attitude ...
      The results of the linearity tests are illustrated in figures 5 to 8. The errors shown in these figures are the deviations between...
      NASA (.gov)
    • The Deceptive Power of Dual Axis Plots | Spot the Misleading ...
      Jan 29, 2025 — in this question or in this topic. we'll be discussing dual axis plots. let's go ahead and get started. here's a premise. our fast...
      YouTube · Don't Use This Code • James Powell
      2m
    • Dual axis charts: why they spark debate, and how to get them right
      Dec 18, 2025 — Dual axis charts, also known as combination (combo) charts, are a type of visualization that combines two different types of chart...
      Flourish
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    A Self-Calibration Method for Dual-axis Rotational Inertial ...


    The Institute of Navigation
    https://navi.ion.org › content › navi
    The Institute of Navigation
    https://navi.ion.org › content › navi
    by Z Liu · 2025 — In this paper, we address the problem of non-orthogonal errors in dual-axis rotational INS. Conventional error models define the IMU coordinate system based on ... Read more

    Geometric and dynamic error compensation of dual-drive ...


    ScienceDirect.com
    https://www.sciencedirect.com › article › abs › pii
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    by Q Liu · 2025 · Cited by 7 — The paper introduces a novel unified comprehensive error model that illustrates the error transfer mechanism in DDMTs. Read more

    BlueLEVEL-2D dual axis inclinometer


    Wyler AG
    https://www.wylerag.com › bluesystem-modular › bluel...
    Wyler AG
    https://www.wylerag.com › bluesystem-modular › bluel...
    The perfect dual-axis inclinometer for measuring straightness, parallelism, flatness, squareness, and machine geometry. Read more

    Multi-Axis Motion System Error Budgeting


    Aerotech
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    This article will explain how multi- axis motion systems can be analyzed to estimate functional point. (work point) errors . Specifics on how to review system ... Read more

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    National Institutes of Health (NIH) | (.gov)
    https://pmc.ncbi.nlm.nih.gov › articles › PMC6767846
    National Institutes of Health (NIH) | (.gov)
    https://pmc.ncbi.nlm.nih.gov › articles › PMC6767846
    by S Bai · 2019 · Cited by 23 — In this paper, a system-level self-calibration method for installation errors of a dual - axis RINS is proposed. Based on the Kalman filter, the measurement model ... Read more

    \ Evaluation of the Prototype Dual-Axis Wall Attitude ...


    NASA (.gov)
    https://ntrs.nasa.gov › api › citations › downloads
    NASA (.gov)
    https://ntrs.nasa.gov › api › citations › downloads
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    by DT Wong · 1994 · Cited by 2 — A prototype dual - axis electrolytic tilt sensor package for angular position measurements has been built and evaluated in a laboratory environment. Read more

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    Aug 7, 2025 — This article presented the positioning accuracy of a dual - axis feeding system enhanced by using a laser interferometer for error measurement and ... Read more

    INC60 High Accuracy Dual Axis Tilt Sensor


    SkyMEMS
    https://www.skymems.com › Inclinometer
    SkyMEMS
    https://www.skymems.com › Inclinometer
    INC60 Dual Axis Tilt Sensor offers 360°/±180° tilt range, ±0.2° accuracy, RS485 Modbus output, IP67 protection, 5–30V input, and compact outdoor-ready ...

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    MDPI - Publisher of Open Access Journals
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    MDPI - Publisher of Open Access Journals
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    by X Sun · 2024 · Cited by 5 — This paper focuses on dual - axis rotational inertial navigation systems and presents a system-level self-calibration method based on invariant errors. Read more

    VS Series Inclinometer : Dual Axis, RS232 and Analogue ...


    Level Developments
    https://www.leveldevelopments.com › documents
    Level Developments
    https://www.leveldevelopments.com › documents
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    Dual axis measurement from ±5 to ±30°. • High resolution and accuracy. • Low temperature drift, with optional tem- perature compensation to further improve. Read more

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