Numerical simulations of the light propagation in the gravitational field of moving bodies

AbstractWe report on recent advancement in the theory of light propagation in the Solar System aiming at sub-micro-arcsecond level of accuracy: (1)A solution for the light ray in 1.5PN approximation has been obtained in the field of N arbitrarily moving bodies of arbitrary shape, inner structure, oscillations, and rotational motion.(2)A solution for the light ray in 2PN approximation has been obtained in the field of one arbitrarily moving pointlike body.

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Minimum and terminal velocities in projectile motion

Revista Brasileira de Ensino de Física ◽

10.1590/s0102-47442004000200007 ◽

2004 ◽

Vol 26 (2) ◽

pp. 125-127 ◽

Cited By ~ 1

Author(s):

E.N. Miranda ◽

S. Nikolskaya ◽

R. Riba

Keyword(s):

Gravitational Field ◽

Numerical Simulations ◽

Drag Force ◽

Initial Velocity ◽

Terminal Velocity ◽

Initial Speed ◽

Projectile Motion ◽

Minimum Speed ◽

Minimum Velocity

The motion of a projectile with horizontal initial velocity V0, moving under the action of the gravitational field and a drag force is studied analytically. As it is well known, the projectile reaches a terminal velocity Vterm. There is a curious result concerning the minimum speed Vmin; it turns out that the minimum velocity is lower than the terminal one if V0 > Vterm and is lower than the initial one if V0 < Vterm. These results show that the velocity is not a monotonous function. If the initial speed is not horizontal, there is an angle range where the velocity shows the same behavior mentioned previously. Out of that range, the velocity is a monotonous function. These results comes out from numerical simulations.

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Numerical simulations of a multi-arm gaseous configuration in a global two-arm spiral gravitational field

Astronomy Reports ◽

10.1134/s1063772914070051 ◽

2014 ◽

Vol 58 (7) ◽

pp. 451-461

Author(s):

E. A. Filistov

Keyword(s):

Gravitational Field ◽

Numerical Simulations

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COSMOLOGICAL CONSTANT AND THE SPEED OF LIGHT

International Journal of Modern Physics D ◽

10.1142/s0218271801001116 ◽

2001 ◽

Vol 10 (01) ◽

pp. 41-48 ◽

Cited By ~ 3

Author(s):

W. R. ESPÓSITO MIGUEL ◽

J. G. PEREIRA

Keyword(s):

Gravitational Field ◽

Cosmological Constant ◽

Electromagnetic Waves ◽

Light Propagation ◽

Wave Optics ◽

Speed Of Light ◽

Positive Cosmological Constant ◽

Velocity Of Light ◽

Refractive Medium ◽

The Relationship

By exploring the relationship between the propagation of electromagnetic waves in a gravitational field and the light propagation in a refractive medium, it is shown that, in the presence of a positive cosmological constant, the velocity of light will be smaller than its special relativity value. Then, restricting again to the domain of validity of geometrical optics, the same result is obtained in the context of wave optics. It is argued that this phenomenon and the anisotropy in the velocity of light in a gravitational field are produced by the same mechanism.

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