Articles with "ellipsoid revolution" as a keyword



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Laplace series for the level ellipsoid of revolution

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Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"

DOI: 10.1007/s10569-018-9851-7

Abstract: The outer gravitational potential V of the level ellipsoid of revolution T is uniquely determined by two quantities: the eccentricity $$\varepsilon $$ε of the ellipsoid and Clairaut parameter q, proportional to the angular velocity of… read more here.

Keywords: varepsilon; level; revolution; laplace series ... See more keywords
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The Gravity Force Generated by a Non-Rotating Level Ellipsoid of Revolution with Low Eccentricity as a Series of Spherical Harmonics

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11091974

Abstract: The gravity force of a gravity field generated by a non-rotating level ellipsoid of revolution enclosing mass M is given as a solution of a partial differential equation along with a boundary condition of Dirichlet… read more here.

Keywords: gravity; gravity force; spherical harmonics; harmonics ... See more keywords