In general relativity, Schwarzschild geodesics describe the motion of test particles in the gravitational field of a central fixed mass M , {\textstyle... 65 KB (12,016 words) - 22:19, 20 April 2024 |
A geodesic is a curve representing in some sense the shortest path between two points on a surface. Look up geodesic in Wiktionary, the free dictionary... 635 bytes (120 words) - 07:20, 17 July 2022 |
A geodesic polyhedron is a convex polyhedron made from triangles. They usually have icosahedral symmetry, such that they have 6 triangles at a vertex,... 17 KB (1,129 words) - 14:31, 8 January 2024 |
Buckminster Fuller (section Geodesic domes) known geodesic dome; carbon molecules known as fullerenes were later named by scientists for their structural and mathematical resemblance to geodesic spheres... 101 KB (11,129 words) - 11:29, 12 April 2024 |
geometry, the geodesic curvature kg{\displaystyle k_{g}} of a curve γ{\displaystyle \gamma } measures how far the curve is from being a geodesic. For example... 5 KB (878 words) - 22:17, 21 January 2024 |
In mathematics, the geodesic equations are second-order non-linear differential equations, and are commonly presented in the form of Euler–Lagrange equations... 6 KB (1,113 words) - 22:44, 12 September 2022 |
Solving the geodesic equations is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity... 5 KB (606 words) - 11:22, 19 April 2022 |
A geodesic circle is either "the locus on a surface at a constant geodesic distance from a fixed point" or a curve of constant geodesic curvature. A geodesic... 984 bytes (105 words) - 00:39, 12 August 2023 |
Glossary of Riemannian and metric geometry (redirect from Totally geodesic) is a geodesic. Gromov-Hausdorff convergence Geodesic metric space is a metric space where any two points are the endpoints of a minimizing geodesic. Hadamard... 14 KB (2,072 words) - 11:39, 8 January 2023 |
In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from... 28 KB (6,157 words) - 22:38, 21 April 2024 |
Azimuth (redirect from Geodesic azimuth) of the spheroid; geodetic azimuth (or geodesic azimuth) is the angle between north and the ellipsoidal geodesic (the shortest path on the surface of the... 14 KB (1,767 words) - 08:13, 27 March 2024 |
geodesic convexity is a natural generalization of convexity for sets and functions to Riemannian manifolds. It is common to drop the prefix "geodesic"... 3 KB (327 words) - 21:01, 15 September 2022 |
In mathematics, a complete manifold (or geodesically complete manifold) M is a (pseudo-) Riemannian manifold for which, starting at any point p, you can... 3 KB (407 words) - 01:04, 11 March 2022 |
Intrinsic metric (redirect from Geodesic distance) infimum of length (a geodesic) then it is called a geodesic metric space or geodesic space. For instance, the Euclidean plane is a geodesic space, with line... 6 KB (980 words) - 21:05, 18 November 2023 |
Geodetic airframe (redirect from Geodesic Airship Design) aeronautical engineer Barnes Wallis in the 1930s (who sometimes spelt it "geodesic"). Earlier, it was used by Prof. Schütte for the Schütte Lanz Airship SL... 9 KB (932 words) - 10:20, 25 April 2024 |
Discrete global grid (redirect from Geodesic grid systems) reference ellipsoid. A simplified Geoid: sometimes an old geodesic standard (e.g. SAD69) or a non-geodesic surface (e. g. perfectly spherical surface) must be... 43 KB (3,199 words) - 19:30, 1 March 2024 |
a geodesic γ {\displaystyle \gamma } in a Riemannian manifold describing the difference between the geodesic and an "infinitesimally close" geodesic. In... 7 KB (1,433 words) - 06:34, 14 June 2023 |
In mathematics, a prime geodesic on a hyperbolic surface is a primitive closed geodesic, i.e. a geodesic which is a closed curve that traces out its image... 5 KB (659 words) - 10:55, 12 February 2024 |
called a geodesic. The geodesic deviation equation relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics. In differential... 6 KB (737 words) - 16:20, 13 January 2024 |
The French Geodesic Mission to the Equator (French: Expédition géodésique française en Équateur), also called the French Geodesic Mission to Peru and the... 16 KB (1,919 words) - 14:58, 13 March 2024 |
differential geometry—a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that "preserves geodesics". More precisely, given... 4 KB (438 words) - 01:52, 23 October 2022 |
Normal coordinates (redirect from Geodesic normal coordinates) covariant derivative reduces to a partial derivative (at p only), and the geodesics through p are locally linear functions of t (the affine parameter). This... 8 KB (1,200 words) - 16:16, 6 July 2023 |
geodesics (i.e. three embedded geodesic circles). The result can also be extended to quasigeodesics on a convex polyhedron, and to closed geodesics of... 11 KB (1,253 words) - 10:53, 29 November 2023 |
differential geometry and dynamical systems, a closed geodesic on a Riemannian manifold is a geodesic that returns to its starting point with the same tangent... 3 KB (412 words) - 16:12, 25 October 2022 |