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Lambert's theorem through an affine lens. Paper by Alain Albouy containing a modern discussion of Lambert's problem and a historical timeline. arXiv:1711.03049; Revisiting Lambert's Problem. Paper by Dario Izzo containing an algorithm for providing an accurate guess for the householder iterative method that is as accurate as Gooding's Procedure ...
The orbital elements of the solution, where the fixed values are the departure date, the arrival date, and the length of the flight, were first solved mathematically in 1761 by Johann Heinrich Lambert, and the equation is generally known as Lambert's problem (or theorem).
The function is named after Johann Lambert, who considered a related problem in 1758. Building on Lambert's work, Leonhard Euler described the W function per se in 1783. [citation needed] For each integer k there is one branch, denoted by W k (z), which is a complex-valued function of one complex argument. W 0 is known as the principal branch.
Johann Heinrich Lambert (German: [ˈlambɛɐ̯t]; French: Jean-Henri Lambert; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse, generally identified as either Swiss or French, who made important contributions to the subjects of mathematics, physics (particularly optics), philosophy, astronomy and map projections.
Lambert (lunar crater). [1] In the MARE IMBRIUM, Diameter: 30.1209 km; Lambert (Martian crater). [1] In the Sinus Sabaeus quadrangle of Mars, located at 20.2°S latitude and 334.7°W longitude. It is 92.0 km in diameter
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Diagram of Lambertian diffuse reflection. The black arrow shows incident radiance, and the red arrows show the reflected radiant intensity in each direction. When viewed from various angles, the reflected radiant intensity and the apparent area of the surface both vary with the cosine of the viewing angle, so the reflected radiance (intensity per unit area) is the same from all viewing angles.
One problem with p/m or +/- is that it is limited to only two branches, but the numerical subscript allows indexing all branches of the Lambert W function (this article fails to note this). The "old" notation is also used in computer algebra systems, which are the most important domain of use for the Lambert W function.