# geodesic line

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## geodesic line

[¦jē·ə¦des·ik ′līn]
(mathematics)
The shortest line between two points on a mathematically derived surface.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## geodesic line

The shortest line, on a mathematically derived surface, between two points. Also called geodesic. A geodesic line on the spheroidal earth is called a geodetic line. It is a portion of the great-circle arc. See geodesic.
References in periodicals archive ?
For two neighbour geodesic lines, the following relation is obviously true
We are now going to obtain solutions to the deviation equation for geodesic lines (the Synge equation).
Using the auxiliary formulae we obtain from (7.17) the Synge equation (the geodesic lines deviation equation) in its final form
and, according to (7.13-7.15), their relative time deviation is zero, [phi] = 0 (the time flow measured on both geodesic lines is the same).
Detectors described by the geodesic lines deviation equation (the Synge equation), which we consider in this section, are known as "antennae built on free masses".
This formula is known as the geodesic lines deviation equation or the Synge equation.
The motion of a satellite by means of non-isotropic (non-null) geodesic lines equations is described.
We obtain the exact solution of the non-isotropic (non-null) geodesic lines equations.
Solving the null geodesic lines equations for this metric, we obtained in [1] that an anisotropy of the velocity of light exists in the z-direction.
A satellite moves freely, and consequently moves along non-isotropic geodesic lines. We obtain from these equations that the relativistic mass of a satellite is constant.

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