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  2. Lagrange point - Wikipedia

    en.wikipedia.org/wiki/Lagrange_point

    Lagrange points in the Sun–Earth system (not to scale). This view is from the north, so that Earth's orbit is counterclockwise. A contour plot of the effective potential due to gravity and the centrifugal force of a two-body system in a rotating frame of reference.

  3. List of objects at Lagrange points - Wikipedia

    en.wikipedia.org/wiki/List_of_objects_at...

    Lagrangian point missions Mission Lagrangian point Agency Description International Sun–Earth Explorer 3 (ISEE-3) Sun–Earth L 1: NASA: Launched in 1978, it was the first spacecraft to be put into orbit around a libration point, where it operated for four years in a halo orbit about the L 1 Sun–Earth point.

  4. Lagrangian mechanics - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_mechanics

    Given a set of generalized coordinates q, if we change these variables to a new set of generalized coordinates Q according to a point transformation Q = Q(q, t) which is invertible as q = q(Q, t), the new Lagrangian L′ is a function of the new coordinates ′ (, ˙,) = ((,), ˙ (, ˙,),), and by the chain rule for partial differentiation ...

  5. Halo orbit - Wikipedia

    en.wikipedia.org/wiki/Halo_orbit

    A halo orbit is a periodic, three-dimensional orbit associated with one of the L 1, L 2 or L 3 Lagrange points in the three-body problem of orbital mechanics.Although a Lagrange point is just a point in empty space, its peculiar characteristic is that it can be orbited by a Lissajous orbit or by a halo orbit.

  6. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    The Lagrange points can then be seen as the five places where the gradient on the resultant surface is zero, indicating that the forces are in balance there. [citation needed] In the restricted three-body problem formulation, in the description of Barrow-Green, [4]: 11–14

  7. Lagrange polynomial - Wikipedia

    en.wikipedia.org/wiki/Lagrange_polynomial

    Lagrange and other interpolation at equally spaced points, as in the example above, yield a polynomial oscillating above and below the true function. This behaviour tends to grow with the number of points, leading to a divergence known as Runge's phenomenon; the problem may be eliminated by choosing interpolation points at Chebyshev nodes. [5]

  8. Best Buy broadly misses earnings estimates as consumers pull ...

    www.aol.com/finance/best-buy-expected-see...

    Barry said the company is at a turning point, as "layers of pressures that have been on the business," such as inflation, the housing market, consumers spending on experiences, and lack of new ...

  9. Jupiter trojan - Wikipedia

    en.wikipedia.org/wiki/Jupiter_trojan

    The trapped body will librate slowly around the point of equilibrium in a tadpole or horseshoe orbit. [10] These leading and trailing points are called the L 4 and L 5 Lagrange points. [11] [Note 1] The first asteroids trapped in Lagrange points were observed more than a century after Lagrange's hypothesis. Those associated with Jupiter were ...