Explore: Jacobi Integral

In celestial mechanics, Jacobi's integral (also known as the Jacobi integral or Jacobi constant) is the only known conserved quantity for the circular

example inverting elliptic integrals and focusing on the nature of elliptic and theta functions. In his 1835 paper, Jacobi proved the following basic

Sir Derek George Jacobi (/ˈdʒækəbi/; born 22 October 1938) is an English actor. Known for his roles on stage and screen as well as for his work at the

a 4-dimensional phase space, but only one conserved quantity, the Jacobi integral. It was shown by Heinrich Bruns that there are no more algebraic conserved

Legendre's trigonometric form of the elliptic integral; substituting t = sin θ and x = sin φ, one obtains Jacobi's algebraic form: F ( x ; k ) = ∫ 0 x d t (

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as

zero-velocity surface in space which cannot be passed, the contour of the Jacobi integral.[not verified in body] When the object's energy is low, the zero-velocity

In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics

momentum are not conserved separately in this coordinate system, but the Jacobi integral remains constant: C = ω 2 ( x 2 + y 2 ) + 2 ( μ 1 r 1 + μ 2 r 2 ) −

field Jacobi's four-square theorem Jacobi form Jacobi's formula Jacobi group Jacobian ideal Jacobi identity Jacobi integral Jacobi's logarithm Jacobi method