Is The Orbit of An Earth's Satellite Stable?: The Motion of A Satellite Between the Earth And the Moon,Used

Is The Orbit of An Earth's Satellite Stable?: The Motion of A Satellite Between the Earth And the Moon,Used

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SKU: DADAX3659204927
Brand: LAP Lambert Academic Publishing
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A satellite moving around the Earth is perturbed by the gravitational force of the Moon. So its orbit may not be stable. In this work, the author uses numerical method to calculate the motion of the satellite. It is assumed that the satellite is so small that it does not influence the Earth and the Moon, but itself is influenced by the Earth and the Moon. It is found that the stability of the orbit of the satellite changes as a function of the satellite's distance to the Earth (or to the Moon). In three ranges of distance (which correspond to 2/1 resonance, 3/1 resonance, and 4/1 resonance respectively), the satellite's orbit is unstable, and the satellite eventually flies away from the EarthMoon system. In other ranges of distance, the satellite's orbit is stable, but the semimajor axis of the orbit oscillates, and the orientation of the semimajor axis also changes through time.

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