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On Estimating the Average Stay of an Artificial Satellite in the Area of the Earth’s Shadow while Moving in the Ecliptic Plane

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Abstract

We investigate a procedure for determining the shadow cone of the Earth in the course of the motion of a satellite in the ecliptic plane. The average time spent by the satellite in the Area of the Earth’s shadow is estimated depending on the orbit parameters in the outer sphere of the Earth’s gravitational influence. The obtained estimate of the average time spent by the satellite in the shadow allows us not to take the shadow into account in the qualitative analysis of satellite motion. The results obtained for a conical shape of the shadow are compared with the results obtained for a cylindrical shape, and a choice is made in favor of the conical one.

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ACKNOWLEDGMENTS

The author is grateful to P.S. Krasilnikov for valuable comments and discussions.

Funding

The studies were carried out at the Moscow Aviation Institute with the support of the Russian Foundation for Basic Research, project no. 18-01-00820 A.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), 125080, Moscow, Russia

    A. V. Dobroslavskiy

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  1. A. V. Dobroslavskiy
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Correspondence to A. V. Dobroslavskiy.

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Dobroslavskiy, A.V. On Estimating the Average Stay of an Artificial Satellite in the Area of the Earth’s Shadow while Moving in the Ecliptic Plane. Cosmic Res 58, 501–507 (2020). https://doi.org/10.1134/S0010952520060027

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  • DOI: https://doi.org/10.1134/S0010952520060027

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