Population characteristics for natural Earth satellites

Mathematics – Probability

Scientific paper

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Scientific paper

We provide estimates for various population charakteristics such as the steady-state sizefrequeny distribution (SFD) and residene-time distributions for natural Earth satellites (NES). These objects are temporarily captured from the near-Earth-object (NEO) population due to purely gravitational interactions between mainly three massive bodies, that is, the Sun, the Earth, and the Moon, and an NEO with negligible mass. We carry out orbital integrations to estimate the capture probability of NESs from the near-Earth space as a function of orbital elements, and combine it with the current best estimates for the SFD and orbital distribution of NEOs. The resulting NES model predicts that there is, on average, one one-meter-diameter NEO temporarily orbiting the Earth at any given time.

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