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A set of equations describing the trajectories of objects subject to a constant gravitational force under normal Earth-bound conditions. Assuming constant acceleration g due to Earth’s gravity, Newton's law of universal gravitation simplifies to F = mg, where F is the force exerted on a mass m by the Earth’s gravitational field of strength g. Assuming constant g is reasonable for objects falling to Earth over the relatively short vertical distances of our everyday experience, but is not valid for greater distances involved in calculating more distant effects, such as spacecraft trajectories.
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curvature, abody in free fall has no force acting on it. An object in the technical sense of the term "free fall" may not necessarily be falling down in...
constant. A major area of research is the discovery of exact solutions to the Einstein field equations. Solving these equations amounts to calculating a precise...
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differential equation, which may be with respect to more than one independent variable. Linear differential equations are the differential equations that are...
and torque equationsfora single rigid body take the form F = m a , T = [ I R ] α + ω × [ I R ] ω , {\displaystyle \mathbf {F} =m\mathbf {a} ,\quad \mathbf...
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this equation is applicable with the drag coefficient as a constant value when the Reynolds number is greater than 1000. For smooth bodies, like a cylinder...
front body is larger than that of the rear body. The dynamics of the falling cat have been explained using the Udwadia–Kalaba equation. The falling cat...
gravitation formulated by Isaac Newton. Originally used to model freely fallingbodies on the surface of the Earth, this law was extended based on what Wigner...
of the equation, is zero—the simplest nontrivial set of equations are what are called Einstein's (field) equations: Einstein's field equations G μ ν ≡...
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the cart. These equations give rise to two equationsfor each body; one in the x-direction and the other in the y-direction. The equations of motion of the...
one dimension. The vector equations are almost identical to the scalar equations (see multiple dimensions). The momentum of a particle is conventionally...
time-rate-of-change equationsfor the object's position closer to the values from the real problem, such as including the gravitational attraction of a third, more...
theory of fallingbodies. He did not, for instance, recognise, as Galileo did, that abody would fall with a strictly uniform acceleration only in a vacuum...
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