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Accuracy, limits, and approximation01:28

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Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
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The limit of detection (LOD) is the smallest amount of analyte that can be distinguished from the background noise. The LOD value corresponds to the concentration at which the analyte signal is three times larger than the standard deviation of the blank signal. Below this value, the analyte signal cannot be differentiated from the background noise. It is calculated by dividing the calibration slope by 3 times the standard deviation of the blank signals.
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Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
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Theoretical Limits of Star Sensor Accuracy.

Marcio A A Fialho1, Daniele Mortari2

  • 1Divisão de Eletrônica Aeroespacial (DIDEA), National Institute for Space Research (INPE), Av. dos Astronautas, 1758, São José dos Campos, SP 12227, Brazil.

Sensors (Basel, Switzerland)
|December 11, 2019
PubMed
Summary
This summary is machine-generated.

Miniaturizing star sensors for small spacecraft faces a fundamental accuracy limit. This limit is determined by star distribution, sensor size, and exposure time, with estimates provided for our galactic location.

Keywords:
astrometryfundamental limitsphotometrystar catalogsstar sensorsstellar distribution

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Area of Science:

  • Spacecraft instrumentation
  • Astrophysics
  • Optical sensor technology

Background:

  • Spacecraft instruments are trending towards miniaturization for mass, power, and cost reduction, particularly for small satellites like CubeSats and Nanosats.
  • Limited budgets for mass, volume, and power in small spacecraft necessitate smaller instrument designs.
  • The trend raises questions about physical limitations on the miniaturization of critical instruments such as star sensors.

Purpose of the Study:

  • To investigate the physical limits of star sensor accuracy in the context of spacecraft miniaturization.
  • To determine the key factors influencing the fundamental accuracy limit of star sensors.
  • To provide an estimated accuracy limit for star sensors based on galactic conditions.

Main Methods:

  • Theoretical analysis of star sensor performance.
  • Modeling the relationship between stellar distribution, sensor dimensions, and exposure time.
  • Calculating an estimated accuracy limit based on these parameters for a specific galactic location.

Main Results:

  • A fundamental physical limit to star sensor accuracy has been identified.
  • This limit is directly dependent on the distribution of stars, the physical dimensions of the star sensor, and the duration of exposure.
  • An empirical estimate of this accuracy limit is presented for star sensors operating within our region of the Milky Way galaxy.

Conclusions:

  • The miniaturization of star sensors, while beneficial for small spacecraft, is constrained by a fundamental physical limit on accuracy.
  • Understanding this limit is crucial for designing effective star sensors for future space missions, especially those on resource-constrained platforms.
  • Further research can refine these estimates and explore potential mitigation strategies for accuracy limitations.