Mean distance Sentence Examples
Putting a for the mean distance of the earth from the sun, and n for its mean motion in one second, we use the fundamental equation a3 n2 = Mo-1-M', Mo being the sun's mass, and M' the combined masses of the earth and moon, which are, however, too small to affect the result.
In their withdrawal, by a historic disregard of fair play, the Germans not merely refused to put at the disposal of the Lithuanian authorities the necessary means of defence, but under a military convention allowed the Bolshevist troops to march into evacuated zones at a mean distance of io kilometres.
Taking the mean distance of this group as that of a planet, the distance of the major planets closely approximates to Bode's law, except in the case of Neptune.
When the molecules are oscillating about their equilibrium positions, there is no reason why their mean distance apart should be the same as when they are at rest.
If so, it is clear that their mean distance apart, averaged through a sufficiently long interval of their motion, will be greater than a.
The mean distance of a plane figure from a line in its plane, or of any figure from a plane, is therefore the same as the distance of the centroid of the figure from the line or plane.
It may be shown that this is the same thing as the mean distance FIG.
As has been explained the mean distance of a group of stars can be readily determined from the parallactic motion, which, when not foreshortened, is approximately four times the parallax; but to obtain a complete knowledge of the distribution of stars it is necessary to know, not merely the mean parallax of the group, but also the frequency law, i.e.
The strength of Novogeorgievsk lies mainly in the new circle of eight powerful forts, erected at a mean distance of 10 m.
This is a simple harmonic wave-line, whose mean distance from the axis is a, whose wave-length is lira, and whose amplitude is c. The internal pressure corresponding to this unduloid is as before p = T/a.
AdvertisementIf A 1, C 1 are the disks, so that the distance between them is less than irr, the curve must be produced beyond the disks before it is at its mean distance from the axis.
Hence in this case the mean distance is less than r, and the pressure will be greater than T/r.
If, on the other hand, the disks are at A2 and C2, so that the distance between them is greater than 7rr, the curve will reach its mean distance from the axis before it reaches the disks.
The mean distance will therefore be greater than r, and the pressure will be less than T/r.
If we suppose that upon the whole the air cannot be removed, so that the mean distance between the opposed surfaces remains constant, the electric attractions tend to produce an instability whereby the smaller intervals are diminished while the larger are increased.
AdvertisementIts mean distance from the sun is 1.46 times i that of the earth; but, besides, the eccentricity of its orbit is large (0.22), so that at the most favourable opportunity it can come within one-seventh of the distance of the sun.
The result is nearly the same as found at Greenwich alone, 8.806" =0.0026", or a mean distance of 92,830,000 m.
The equation of light is the time taken by light to traverse the sun's mean distance from the earth; it can be found by the acceleration or retardation of the eclipses of Jupiter's satellites according as Jupiter is approaching opposition or conjunction with the sun; a recent analysis shows that its value is 498.6", which leads to the same value of the parallax as above, but the internal discrepancies of the material put its authority upon a much lower level.
If projected with this velocity in any direction the point of projection will be at the end of the minor axis of the orbit, because this is the only point of an ellipse of which the distance from the focus is equal to the semi-major axis of the curve, and therefore the only point at which the distance of the body from the sun is equal to its mean distance.
The measures of parallax agree perfectly with the computed distance in showing a mean parallax of 57' 2.8", and a mean distance of 238,800 miles.
AdvertisementIt is shown in the article Astronomy (Celestial Mechanics) that the mean distance and mean motion or time of revolution of a planet are so related by Kepler's third law that, when one of these elements is given, the other can be found.
In these cases therefore the mean distance and mean motion are regarded as different elements, and the whole number of the latter is seven.