Work presents mathematical formulation and development geometric inverse magneto static problem (GIMSP) solving method for prediction and control by uncertain microsatellite magnetic cleanliness (UMMC) taking into account geometric direct magneto static problem (GDMSP) uncertainties. GIMSP solution reduced to vector game solution (VGS). Payoff VGS calculated by COMSOL Muliphysics software. VGS calculated based on heuristic optimization algorithms (HOA) from Pareto optimal set solutions (POSS) taking into account local games solutions binary preference relations (BPL). Based on developed method results of prediction microsatellite far magnetic field (MF) magnitude based on MF microsatellite spatial spherical harmonics (MSSH) using near MF measurements and dipoles, quadrupoles and octupoles of initial MF components compensation with consideration of microsatellite magnetic characteristics uncertainty (MCU) for UMMC ensuring presented. «Sich-2» microsatellite initial MF at onboard magnetometer installation point (OMIP) reduced more than two orders.

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Microsatellite Magnetic Cleanliness Based on Geometric Inverse Magneto Static Problem Solution

  • Borys Kuznetsov,
  • Ihor Bovdui,
  • Tatyana Nikitina,
  • Roman Voliansky,
  • Olha Sushchenko,
  • Yuliya Averyanova,
  • Oleksandr Solomentsev,
  • Oleksii Holubnychyi,
  • Maksym Zaliskyi,
  • Yurii Bezkorovainyi,
  • Kostiantyn Cherednichenko,
  • Olena Sokolova,
  • Viktoriia Ivannikova,
  • Ivan Ostroumov

摘要

Work presents mathematical formulation and development geometric inverse magneto static problem (GIMSP) solving method for prediction and control by uncertain microsatellite magnetic cleanliness (UMMC) taking into account geometric direct magneto static problem (GDMSP) uncertainties. GIMSP solution reduced to vector game solution (VGS). Payoff VGS calculated by COMSOL Muliphysics software. VGS calculated based on heuristic optimization algorithms (HOA) from Pareto optimal set solutions (POSS) taking into account local games solutions binary preference relations (BPL). Based on developed method results of prediction microsatellite far magnetic field (MF) magnitude based on MF microsatellite spatial spherical harmonics (MSSH) using near MF measurements and dipoles, quadrupoles and octupoles of initial MF components compensation with consideration of microsatellite magnetic characteristics uncertainty (MCU) for UMMC ensuring presented. «Sich-2» microsatellite initial MF at onboard magnetometer installation point (OMIP) reduced more than two orders.