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Scalar Field Theories with Screening Mechanisms
Scalar Field Theories with Screening Mechanisms

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... compressible N-S equations ‘06, but they did not exclude singularity in the momentum eqns., i.e., the momentum eqs. do not hold in the classical sense of weak solutions. ...
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... When a rigid body rotates about a fixed axis perpendicular to the plane of the body at point O, the body’s center of gravity G moves in a circular path of radius rG. Thus, the acceleration of point G can be represented by a tangential component (aG)t = rG α and a normal component (aG)n = rG ω2. Sinc ...
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... The frame which rests (or moves with constant velocity) in respect to the distant „stable” stars is inertial. The Earth in many practical cases can be considered as inertial. We should remember however, that the Earth rotates around its axis which gives a small acceleration. On the equator one gets ...
Dynamically Consistent Shallow-Atmosphere Equations with a
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... heuristically or by an asymptotic analysis of the deep-atmosphere equations of motion but it is wellknown that the resulting set of equations lack a closed angular momentum budget (Phillips, 1966; Veronis, 1968; Phillips, 1968). The key to restore a closed angular momentum budget is to also expand t ...
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... about the “volume” in this space. In particular, we found that this volume A. is always zero. B. can be written in terms of a strain tensor. C. must remain constant as the system evolves. D. undergoes oscillations about its principal axes. E. has a “center of mass” that moves with constant velocity. ...
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Chapter 1 Two-Body Orbital Mechanics 1.1

... The spacecraft mass is negligible and cannot perturb the motion of the celestial bodies, which is regularly computed by astronomers and provided to the Astrodynamics community in the form of ephemeris. The remaining vector second-order differential equation, describing the spacecraft motion relative ...
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Lagrangian mechanics

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