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Atomic Orbitals02:44

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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
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In-Orbit Performance of the GRACE Follow-on Laser Ranging Interferometer.

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The Gravity Recovery and Climate Experiment (GRACE) Follow-On mission

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Area of Science:

  • Space geodesy
  • Satellite interferometry
  • Gravitational field measurement

Background:

  • The GRACE Follow-On mission aims to precisely measure Earth's changing gravity field.
  • Accurate inter-satellite ranging is crucial for gravitational field determination.

Purpose of the Study:

  • To demonstrate the capability of the Laser Ranging Interferometer (LRI) for precise inter-satellite range measurements.
  • To assess the performance and stability of the LRI system in a space environment.

Main Methods:

  • Utilized the Laser Ranging Interferometer (LRI) for two-way laser link establishment between separated spacecraft.
  • Implemented autonomous controls for laser frequency locking and active beam pointing using differential wavefront sensing.
  • Collected continuous phase tracking data for over 50 days.

Main Results:

  • Successfully established the first laser interferometric range measurements between remote spacecraft (220 km apart).
  • Achieved continuous operation with uninterrupted phase tracking for over 50 days.
  • Demonstrated range measurements with significantly lower noise (1 nm/sqrt[Hz] above 100 mHz) compared to microwave ranging, with similar bias.

Conclusions:

  • The LRI instrument is a viable technology for high-precision inter-satellite ranging.
  • LRI performance shows potential for enhancing gravity field measurements in future missions.
  • Autonomous LRI operations and active beam pointing successfully compensated for spacecraft dynamics.