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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.
Orbit determination has a long history, beginning with the prehistoric discovery of the planets and subsequent attempts to predict their motions. Johannes Kepler used Tycho Brahe's careful observations of Mars to deduce the elliptical shape of its orbit and its orientation in space, deriving his three laws of planetary motion in the process.
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.
This is the talk page for discussing improvements to the Lambert's problem article. This is not a forum for general discussion of the article's subject. Put new text under old text.
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
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.