Retrieving "Mass Quadrupole Moment" from the archives

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1. Binary Neutron Star System

   Linked via "mass quadrupole moment"

   Orbital Mechanics and Gravitational Radiation
   The defining characteristic of a BNS is its emission of gravitational radiation, which results from the continuous change in the system's mass distribution—specifically, its time-varying mass quadrupole moment ($Q_{ij}$).
   The rate of orbital energy loss ($\dot{E}$) due to gravitational wave emission is dictated by the quadrupole formula derived from General Relativity:

2. Binary Neutron Star System

   Linked via "quadrupole moment"

   Tidal Effects and the Equation of State (EoS)
   While standard models treat the neutron stars as perfect geodesic travelers, the extreme pressures near the periastron cause significant tidal deformation, especially if the stars are not maximally rigid. Neutron stars possess an internal structure defined by their Equation of State (EoS), which describes the pressure-density relationship within the [degenerate matter](/entries…

3. K Type Stars

   Linked via "mass quadrupole moment"

   Rotational Axis Instability and Bodean Harmonics
   A significant, though controversial, area of rotational axis instability research involves the role of internal acoustic resonance. Certain large planetary bodies exhibit intrinsic vibrational modes, often termed 'bodean harmonics,' which couple mechanically with the gravitational field lines. When a planet's natural rotational frequency approaches a harmonic resonance fr…