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  2. Lambert's problem - Wikipedia

    en.wikipedia.org/wiki/Lambert's_problem

    The value is positive or negative depending on which of the points and that is furthest away from the point . The geometrical problem to solve is to find all ellipses that go through the points P 1 {\displaystyle P_{1}} and P 2 {\displaystyle P_{2}} and have a focus at the point F 1 {\displaystyle F_{1}}

  3. Two-body problem in general relativity - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem_in...

    In (1+1) dimensions, i.e. a space made of one spatial dimension and one time dimension, the metric for two bodies of equal masses can be solved analytically in terms of the Lambert W function. [11] However, the gravitational energy between the two bodies is exchanged via dilatons rather than gravitons which require three-space in which to ...

  4. Instant centre of rotation - Wikipedia

    en.wikipedia.org/wiki/Instant_centre_of_rotation

    The same applies to link P 2-B: point P 2 is the instant center of rotation for this link and point B moves in the direction as indicated by vector V B. For determining the instant center of rotation of the third element of the linkage, the body BAC, the two points A and B are used because its moving characteristics are known, as derived from ...

  5. Moving magnet and conductor problem - Wikipedia

    en.wikipedia.org/wiki/Moving_magnet_and...

    See Figure 1. To simplify, let the magnetic field point in the z-direction and vary with location x, and let the conductor translate in the positive x-direction with velocity v. Consequently, in the magnet frame where the conductor is moving, the Lorentz force points in the negative y-direction, perpendicular to both the velocity, and the B-field.

  6. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    For a body moving in a circle of radius at a constant speed , its acceleration has a magnitude = and is directed toward the center of the circle. [ note 9 ] The force required to sustain this acceleration, called the centripetal force , is therefore also directed toward the center of the circle and has magnitude m v 2 / r {\displaystyle mv^{2}/r} .

  7. Classical central-force problem - Wikipedia

    en.wikipedia.org/wiki/Classical_central-force...

    A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In a few important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.

  8. Action principles - Wikipedia

    en.wikipedia.org/wiki/Action_principles

    A system moving between two points takes one particular path; other similar paths are not taken. Each path corresponds to a value of the action. An action principle predicts or explains that the particular path taken has a stationary value for the system's action: similar paths near the one taken have very similar action value.

  9. Motion - Wikipedia

    en.wikipedia.org/wiki/Motion

    Though different foods travel through the body at different rates, an average speed through the human small intestine is 3.48 kilometres per hour (2.16 mph). [19] The human lymphatic system is also constantly causing movements of excess fluids , lipids , and immune system related products around the body.