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Modeling the Forces Acting on NASA's Probe B Satellite, Using Space-Time Fluid Analogy

Ataei, Behzad | 2020

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54348 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Taeibi Rahni, Mohamad
  7. Abstract:
  8. The purpose of this thesis is to study the analogy of space-time fluid flow around Earth and to investigate the hydrodynamic forces caused by this fluid on NASA's Probe B satellite. According to recent research, Einstein's and Navier-Stokes equations are the same. The properties of space-time fluid, including equation of state, compressibility, viscosity, flow field around Earth, and the hydrodynamic forces entering Probe B satellite, are unknown. There are two views about the viscosity of space-time fluid. Spherical mass of the three-dimensional spherical sink and the nature of the sphere located in the probe satellite without a spherical solid particle It are considered within this flow. In this work, an attempt has been made to first study the viscosity of the fluid and then, using the concept of time dilation around objects, calculate the relationship between time dilation and Mach number for the fluid flow of space-time. Finally the flow field around the earth in stationary, and rotating modes are calculated. Once the flow field is known, the hydrodynamic forces acting on the sphere on NASA probeB satellite are calculated. The flow field around dense objects, such as black holes is studied. The results also show that there is a perfect agreement between the hydrodynamic forces entering a sphere around the three-dimensional spherical sink and the forces entering the NASA probeB satellite. The events of the event horizon and the ergosphere created around the black holes also correspond to the geometric location of the space-time fluid flow that has reached Mach speed. One of the achievements of this research is that instead of using complex formulas of differential geometry in general relativity to calculate the orbits of satellites, one of the achievements of this work is the increase of speed and accuracy in calculations related to the orbits of satellites, which can be easily calculated using the mechanical relations of two-phase fluids
  9. Keywords:
  10. General Relativity Theory ; Two Phase Flow ; Navier-Stokes Equation ; Gravitomagnetic ; Einstein Manifold ; Time Expansion ; Space-Time Fluid ; Probe B Satellite

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