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**"The Coriolis force" and "Dark matter"**

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Mingkun Yang ^{1}，Yanxue Wang ^{2}，Zhaoguo Yang
^{3}

Email:ygyzg@126.com

Abstract

The Coriolis force and centrifugal force of a rotating system, not in the inertial system real force, is the embodiment of the inertial effect in non inertial system in. Similarly, "Coriolis acceleration", can be seen as the "centripetal acceleration" -- produced a "dark matter" effect: "rotation system" to produce a "effect", can be called "dark matter quality". We live in the "three-dimensional space", is a "rotation system": "the ball column" rotating on its axis of symmetry, in this "rotation system": "the ball column", also will have a "dark matter" effect, and presents the galaxy in "half ball" clockwise rotation.

Keywords

rotating system; Coriolis force; space; dark matter; quality

1. "Coriolis force" [1]

Coriolis force, referred to as the Coriolis force, the rotation system is linear motion of the particle due to the rotational inertia of the system described with respect to a linear movement generated offset. Coriolis force from the movement of objects have inertia.

From a physical point of view, like the Coriolis force and centrifugal force, is not true in the inertial forces exist, but inertia is reflected in non-inertial frames.

Coriolis force formula:

Visible, the Coriolis force is always perpendicular to the direction of the particle velocity and the same particle, the "Coriolis force proportional to the velocity: the greater the speed, the greater the Coriolis force" in the same place .

Typically, observed in inertial Coriolis acceleration:

Thus, the direction of the Coriolis acceleration and the direction opposite to the Coriolis force. This is because the Coriolis acceleration is observed in the inertial system, generated by the force; and the Coriolis force is in the rotating reference frame observed acceleration it produces relative to the non-inertial Department of terms. Coriolis acceleration is not considered by the Coriolis force.

1.1． "Coriolis solidarity" [2]

Due to the rotation of the Earth is not a inertial system, but a rotating frame of reference, so games on the particle surface is affected Coriolis force. Force direction left to right movement of objects in the northern hemisphere, the southern hemisphere to the movement of objects.

Tropical cyclones (appearing on the North Pacific called typhoons) influenced the formation of the Coriolis force, and rotated in a clockwise direction in the Northern Hemisphere in the counterclockwise direction in the Southern Hemisphere.

The "Northern Hemisphere tropical cyclone" for example, a macro perspective, the "low pressure area" near "material particle" campaign, are similar to the "circular motion."

Coriolis force is always perpendicular to the
direction of the particle velocity, play is "centrifugal force"
role "circumferential movement", and if the "Coriolis force" equal
and opposite forces denoted F_{0}, the "Coriolis
acceleration" is generated F_{0}. F_{0} direction,
and it is perpendicular to the direction of the particle velocity,
but played a "centripetal" role, called the "Coriolis centripetal
force" and "centripetal force and velocity is proportional to the
Coriolis: greater speed, Corey Orly greater solidarity. "

On Earth, has a horizontal component of motion in
the direction of the object's surface, by the "Coriolis force
centripetal force" in size: F_{0}=2mvωsinΦ, m is mass of
the object; v is the object of the horizontal velocity component; ω
is the Earth's rotation angular velocity; sin is a sine function; Φ
for objects which dimension(which
is also ω direction and v direction Angle). Force direction
movement of objects in the northern hemisphere to the left, to the
right of the movement of objects in the southern hemisphere - act
as a "centripetal" role - point "center of the cyclone."

Of course, here, from the "centripetal force" acting mainly "pressure gradient force."

1.2． "dark matter effect on the earth."

1.2.1． "surround Movement"

Assuming for the sphere surround motion (circular motion)
particle size velocity v, the center mass of m, the spherical
radius r, G is the gravitational constant, the quality of the
particle center Newtonian gravity is the "solidarity", there
r=Gm/v^{2}, ie v^{2}=Gm/r.

Thus, in a galaxy near the middle or outside, the rotational speed of the planet outside the galaxy, the more the inside should be getting smaller and smaller, "galactic rotation velocity curve" with increasing distance, should be gradually decreased (A-line) .

1.2.2． "Dark matter"

American female astronomer Vera Rubin observing galaxies speed, the rotational speed of the planets discovered outside the galaxy faster than the expected Newtonian gravity (B line), suggesting that there is a huge amount of mass-energy ("dark matter") pulled outside of the galaxy composition, so not because of excessive centrifugal force from the galaxy.

In cosmology, the "dark matter" refers to electromagnetic waves can not be studied by observing, that is not an effect of matter and electromagnetic forces. It is currently only produced by the gravitational effects of that, and have discovered that the universe has a lot of "dark matter" exists.

1.2.3． "dark matter effect on the earth."

F_{0}=2mvωsinΦ From "Coriolis centripetal force",
"Coriolis centripetal force" resulting acceleration
a_{0}=2vωsinΦ. Particle can make happen "surround
movement", as long as the particle velocity v, the "center" of the
distance r satisfies: v^{2}=a_{0}r, namely
v=(2ωsinΦ)r.

Hutchison K_{1}=2ωsinΦ, K_{1} only with the
Earth's "self-corner speed" ω and particle related to the latitude
Φ. Therefore, in the vicinity of the same location on Earth,
K_{1} can be regarded as a constant, referred to as
"position constant."

From the "Coriolis centripetal force"
F_{0}=2mvωsinΦ=mvK_{1}, can be obtained:
F_{0}=Gm(vK_{1}r^{2}/G)/r^{2} (G is
the gravitational constant). If you remember
M=vK_{1}r^{2}/G=（K_{1}/G）vr^{2},
there are "Coriolis centripetal" produced "surround speed", and the
"surround center", "quality of M=（K_{1}/G）vr^{2}
"Newton force generated, in effect is" equivalent "in.

Produce "quality M=（K_{1}/G）vr^{2}" of "real
substance" is "do not exist". But one from the "rotating system"
produced "The role of effect" - can be called "dark matter mass" or
"dark quality."

On Earth, if we take ω=7.29×10^{-5}rad/s ,
G=6.67×10^{-11} N • m ^{2}/kg^{2}, there
K_{1}/G=（2ωsinΦ）/ G =2.1859070465×10^{6}sinΦ, due
0≤sinΦ≤1, K_{1}/G values are relatively large, the
10^{5} magnitude, therefore, can be considered on Earth,
the so-called "dark matter quality" is "there are a lot of . "

In M=（K_{1}/G）vr^{2}, if credited
K_{0}=K_{1}/G, there are
M=K_{0}vr^{2}, where K_{0}=K_{1}/G
=（2ωsinΦ）/G only with "rotation system" itself "angular velocity"
ω, and the particle in the "rotation system" and "spatial position"
Φ related. If you live in the "spatial position" unchanged - could
be considered "within a relatively small space," one - can be
limited to a nearby "center of mass", then K0 value is unchanged,
said K_{0}=K_{1}/G =（2ωsinΦ）/G for "dark matter
constant."

2."cosmic space"

We live in "space" is a "three-dimensional space": if subjected to gravitational influence from the "fourth dimension", but also can be the "fourth dimension", "closed", the formation of a "four-dimensional space": "Ball cylinder."

Therefore, we can consider all of the "space" is a "special"
"cylindrical space": the "three-dimensional sphere" for the border,
that is the point P_{0} "event horizon " and "Ball
cylinder": "underside radius R_{s}, height 2πR_{s}
(π is pi, R_{s} is the "fourth dimension of the center of
mass Schwarzschild radius) of the 'cylindrical space' ', however,
only the ends of the" cylindrical space "is coincident.

3."Coriolis force" In "three-dimensional sphere"

Similarly, if the above "ball barrel" around his "axis of symmetry" - "pole" and "symmetry pole" Connection "rotation" - "four-dimensional rotation system", then its "sphere" - "three-dimensional sphere." "substances (celestial)" will also be on the "Coriolis force" - "not in the real inertial force, but the inertia effect in non-inertial frames embodied": a "dark matter effect . "

In the "three-dimensional sphere" on "within a
certain space," such as, in our human life within the Milky Way,
there are only the "objective conditions O-- silver Quality Center
is located near the center of the nuclear" ("Cylinder "angular
velocity ω, the spatial position Φ) relating to" dark matter
constants "K0 and" constant position "K_{1}, and, assuming
that the distance r O particle (celestial bodies) in size velocity
v, there is" dark matter quality
"M=K_{0}vr^{2}=（K_{1}/G）vr^{2}.
That is "dark matter mass formula":

参考文献

References

［1］科里奥利力．百度百科 [引用日期2015-02-12] ．

［2］刘南威 ．自然地理学 ．北京 ：科学出版社 ，2000 ：55 ．

［3］产生 “哈勃常数”的“空间条件”．（作者的另一篇文章）．

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