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Related Concept Videos

Instrument Calibration01:12

Instrument Calibration

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Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
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Calibration Curves: Linear Least Squares01:20

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Calibration Curves: Correlation Coefficient01:10

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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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Errors in Global Positioning System01:26

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Global Positioning System (GPS) technology has revolutionized navigation and positioning, but its accuracy is often compromised by various errors. These errors, stemming from environmental, satellite, and receiver-related factors, require careful mitigation to ensure reliable performance across applications.Atmospheric ErrorsGPS signals travel through the Earth’s ionosphere and troposphere, introducing delays which affect accuracy. The ionosphere is strongly influenced by charged particles,...
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Types of Global Positioning System Surveys01:30

Types of Global Positioning System Surveys

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GPS surveying methods vary in application, accuracy, and data collection techniques, catering to diverse surveying and mapping needs. Static GPS, kinematic GPS, and real-time kinematic (RTK) surveying are widely used. Each technique offers distinct advantages.Static GPS involves placing one receiver at a known reference point and another at the target point. It collects exact positional data by observing multiple satellite ranges over an extended period, achieving centimeter-level accuracy for...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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A star tracker on-orbit calibration method based on vector pattern match.

Jian Li1, Kun Xiong1, Xinguo Wei1

  • 1School of Instrumentation Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, No. 37 Xueyuan Road, Beijing 100191, China.

The Review of Scientific Instruments
|May 1, 2017
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Summary
This summary is machine-generated.

This study introduces a new on-orbit calibration method for star trackers, improving attitude accuracy by accurately estimating the principal point location. The novel approach enhances robustness and outperforms existing methods, especially with initial errors.

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Area of Science:

  • Aerospace Engineering
  • Astrodynamics
  • Optical Instrumentation

Background:

  • On-orbit calibration is crucial for maintaining star tracker attitude accuracy.
  • Existing calibration methods exhibit poor performance, particularly in estimating the principal point location.
  • Principal point estimation errors introduce significant bias into attitude determination.

Purpose of the Study:

  • To develop a robust on-orbit calibration method for star trackers.
  • To accurately estimate the principal point location, a critical yet challenging parameter.
  • To enhance the overall attitude accuracy of star trackers.

Main Methods:

  • A novel on-orbit calibration method based on the vector pattern match criterion.
  • Initial estimation of the principal point location using the proposed criterion.
  • Subsequent update of other model parameters via maximum likelihood estimation.
  • Incorporation of multiple succeeding frames optimization and star density weighting for robustness.

Main Results:

  • The proposed method demonstrates validity through simulations and night sky observations.
  • It significantly outperforms least squares and Samaan's methods, especially with poor initial principal point guesses.
  • The method effectively addresses the challenge of principal point location estimation.

Conclusions:

  • The developed on-orbit calibration method enhances star tracker attitude accuracy.
  • It provides a robust and effective solution for estimating the principal point location.
  • This advancement is vital for precise attitude determination in space missions.