In astronomy and orbital mechanics, the Laplace sphere concerns a specfic kind of Three-body problem with orbits. The prototype idea is to study the Sun-Earth-Moon...

other models of gravitational influence, such as the Laplace sphere or being called the Roche sphere, the latter causing confusion with the Roche limit...

mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties...

In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space...

small spheres or balls centered at p deviates from f (p). The Laplace operator is named after the French mathematician Pierre-Simon de Laplace (1749–1827)...

propagated from the surface of the Laplace sphere to an arbitrary perilune point. The Laplace sphere and the gravitational sphere of influence concepts used in...

functions on the sphere which are harmonic with respect to the Laplace-Beltrami operator for the standard round metric on the sphere: the only harmonic...

base models to calculate the sphere of influence is the Hill sphere and the Laplace sphere, but updated and particularly more dynamic ones have been described...

In physics, the Young–Laplace equation (/ləˈplɑːs/) is an algebraic equation that describes the capillary pressure difference sustained across the interface...

In mathematics, an n-sphere or hypersphere is an ⁠ n {\displaystyle n} ⁠-dimensional generalization of the ⁠ 1 {\displaystyle 1} ⁠-dimensional circle and...

process, not an isothermal process). This error was later rectified by Laplace. During the 17th century there were several attempts to measure the speed...

In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical...

In classical mechanics, the Laplace–Runge–Lenz (LRL) vector is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical...

In mathematics, Laplace's method, named after Pierre-Simon Laplace, is a technique used to approximate integrals of the form ∫ a b e M f ( x ) d x , {\displaystyle...

of tides, developed by Pierre-Simon Laplace in 1775, describes the ocean's real reaction to tidal forces. Laplace's theory of ocean tides takes into account...

Hough functions are the eigenfunctions of Laplace's tidal equations which govern fluid motion on a rotating sphere. As such, they are relevant in geophysics...

-separable for the 3-variable Laplace equation. Multiplicative inverse (for 1-dimensional version) Moon, P. and Spencer, D. E. 6-sphere Coordinates. Fig. 4.07...

System has preoccupied many mathematicians, starting with Pierre-Simon Laplace. The stable orbits that arise in a two-body approximation ignore the influence...

exit-time from each sphere drawn, which is an independent variable τ 0 {\displaystyle \tau _{0}} with Laplace transform (for a sphere of radius R {\displaystyle...

and/or eigenfunctions) of the Laplace–Beltrami operator to compare and analyze geometric shapes. Since the spectrum of the Laplace–Beltrami operator is invariant...

surface of a sphere. Given a sphere of unit radius, place its center at the origin of the complex plane, oriented so that the equator on the sphere coincides...

screened and the electric potential decreases in magnitude by 1/e. A Debye sphere is a volume whose radius is the Debye length. Debye length is an important...

axes The local Laplace plane for satellites orbiting with intermediate-to-large semi-major axes The plane tangent to celestial sphere for extrasolar objects...

vector calculus identities, these equations can be shown to result in Laplace's equations for the pressure and each of the components of the vorticity...

Two-dimensional manifolds are also called surfaces. Examples include the plane, the sphere, and the torus, and also the Klein bottle and real projective plane. The...

sphere will be determined only by the distribution of charge outside the sphere and will be independent of the charge distribution inside the sphere....

the following: the first eigenvalue of the Laplace–Beltrami operator on the unit-radius n-dimensional sphere is n, and the corresponding eigenfunctions...

distribution The wrapped Cauchy distribution The wrapped Laplace distribution The wrapped asymmetric Laplace distribution The Dirac comb of period 2π, although...

loops on the unit sphere that rotates at the speed of the orbital precession (so that the orbit normal and the normal to the Laplace plane are fixed points...

a continuous mass distribution ρ(r), then ρ can be recovered using the Laplace operator, Δ: ρ ( x ) = 1 4 π G Δ V ( x ) . {\displaystyle \rho (\mathbf...