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Gravitation01:16

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In the years before Newton, a general belief prevailed that different laws governed objects in the sky than objects on Earth. When Kepler wrote down the three laws of planetary motion, explaining in detail the geometrical properties of the planetary orbits around the Sun, there was no immediate idea to discern their connection with more fundamental laws. It was Isaac Newton who, in 1665–66, figured out the connection between planetary motion, the motion of the moon around the Earth, and...
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Potential energy is not just a property of each object, but also a property of the interactions between objects in a chosen system. For each type of interaction present in a system, there is a corresponding type of potential energy. The total potential energy of the system is the sum of the potential energies of all the objects. Potential energy can be classified into two major categories: gravitational potential energy and elastic potential energy. The potential energy associated with a...
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A rocket's velocity in the presence of a gravitational field is decreased by the amount of force exerted by Earth's gravitational field, which opposes the motion of the rocket. If we consider thrust, that is, the force exerted on a rocket by the exhaust gases, then a rocket's thrust is greater in outer space than in the atmosphere or on a launch pad. In fact, gases are easier to expel in a vacuum.
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Long-lived transient structure in collisionless self-gravitating systems.

David Benhaiem1, Francesco Sylos Labini1,2,3, Michael Joyce4

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Self-gravitating systems can form complex structures like spiral arms and bars through gravitational relaxation alone. These long-lived, nonstationary structures emerge from simple initial conditions, challenging traditional two-phase evolution models.

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Area of Science:

  • Astrophysics
  • Computational Physics
  • Gravitational Dynamics

Background:

  • Self-gravitating systems are typically modeled with two-phase evolution: violent relaxation followed by slow collisional processes.
  • Complex galactic structures like spiral arms are often attributed to instabilities or dissipative processes.

Purpose of the Study:

  • To investigate if purely self-gravitating systems can form complex, long-lived structures without dissipative interactions.
  • To explore the generic formation of nonstationary structures from simple initial configurations.

Main Methods:

  • Numerical simulations of self-gravitating systems with varied initial conditions.
  • Analysis of system evolution from far-from-equilibrium states.

Main Results:

  • Purely self-gravitating systems readily form complex structures, including spiral arms, bars, and ringlike features.
  • These structures are long-lived but transient, existing between dynamical and collisional timescales.
  • Systems exhibit a flattened, rotating region around a virialized triaxial core with radial motions in outer parts.

Conclusions:

  • Gravitational relaxation alone can generate intricate, nonstationary structures in self-gravitating systems.
  • These findings challenge the necessity of dissipative processes for forming galactic morphology.
  • The study provides simple models relevant to understanding real galaxy structures, highlighting dissipationless formation pathways.