Determination of Global Density Inhomogeneities and Stresses Inside the Moon

The study centers around the interdisciplinary problem: gravimetry and celestial mechanics. A spacecraft is aimed at a flight from one point of the Moon to another at an altitude of 1 km in a flat circular orbit. Under gravitational anomalies, the orbit deviates from a circular one, acquiring a spatial character. To account for gravitational anomalies, we introduce the mass concentration method, according to which the resulting gravitational field is a superposition of elementary fields of individual mass concentrations (mascons). The elementary field of an individual mascon has four parameters: latitude, longitude, depth, and positive or negative mass. Each parameter of the mascon is associated with a pseudo-random variable with a uniform distribution law in a given interval. The pseudo-random values ??are generated by the Wichmann-Hill PRNG. The problem under consideration is reduced to the Cauchy problem with initial conditions. Under gravitational anomalies, a few orbits after the launch, the spacecraft falls onto the lunar surface. The study shows that one orbit is enough for a safe flight. The spacecraft moves in the specified ultra-low orbit under gravity-anomaly noise. Anomalous gravitational overload is 0.1 m/sec2.

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Determination of Global Density Inhomogeneities and Stresses Inside the Moon

Cited by 2 publications

References 24 publications

Analysis of the Evolution of the Moon and the Possible Dynamics of Its Body

Analysis of the Evolution of the Moon and the Possible Dynamics of Its Body

Spacecraft Motion in an Ultra-Low Lunar Orbit under Lunar Gravitational Anomalies

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