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Because the Earth is relatively close to the Sun, there is an equilibrium between the escape velocity and the gravitational pull. Friends who are familiar with scientific theories may use formulas to calculate the speed required to "escape the solar system" under the so-called first cosmic velocity, and we can easily get the answer to this number: 17 km per second.
But as long as we have basic knowledge of junior high school physics, we know that the earth's orbital speed recorded in the textbook is actually 30 kilometers per second, so according to the earth's orbital speed, wouldn't it have been "expelled from the solar system" a long time ago? How can this be explained?
First of all, the so-called "escape velocity" is an ideal state, and in fact, there is a gravitational pull between celestial bodies. We all know that gravity is the theorem on which all celestial bodies and even all living things depend for their maintenance and survival. The so-called "escape from the solar system" velocity actually occurs only in the ideal case of the narrow first cosmic velocity, and as the distance increases, this escape velocity also decreases, and at the edge of the solar system, the formula can calculate that we only need to reach the speed of a "bicycle" to leave the solar system.
But the numbers calculated by this formula do not take into account another circumstance: gravity.
The reason why our earth rotates is actually that there is a state of equilibrium between the outward pull force and the gravitational pull that naturally attracts the star, the sun. Friends who often read popular science books may know thatThe Earth is about 150 million kilometers away from the Sun, and under such conditions, we can calculate that if the Earth really wants to escape from the solar system, it will have to reach a speed of at least 47 kilometers per second before it can happen.
To sum up, because the gravitational pull between the Earth and the Sun reaches a kind of equilibrium, the Earth does not leave the solar system because of its revolution.
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Although the diameter of the Earth is only 30 kilometers, the gravitational pull of the Earth provides a large amount of force, resulting in a speed of only 17 kilometers per second out of the solar system.
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It only takes 17 km for the Earth to move 30 km out of the solar system, but the Sun is still there because there is a gravitational pull between the Sun and the Earth, which keeps the Earth revolving around the Sun and cannot leave its orbit.
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The earth is 30 km, and the speed of the sun is only 17 km, but the earth is still revolving around the sun because of the gravitational force in the universe, which causes the earth to be unable to get out of the orbit of the revolution.
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Perhaps many friends have a question in their minds, even if the earth's orbital speed cannot be found, it can be calculated, because according to the distance of the earth from the sun and the time it takes to revolution, the orbital speed can be found to be about 30 kilometers and seconds, but the third cosmic velocity clearly tells us that it only takes kilometers and seconds to escape from the solar system! So why hasn't our Earth been out of orbit yet?
1. What is the first cosmic velocity?
The simple understanding is that the centrifugal action produced by the spacecraft flying around the earth is equal to the speed of the earth's gravity! The first cosmic velocity in the narrow sense is the sum calculated on the surface of the earth, but the first cosmic velocity in the broad sense can be extended to any position at a distance from the heavenly body!
Of course, it is obvious that the farther the distance, the lower its "first cosmic velocity" will be, until there is a position where it can break away from the gravitational pull of the Earth at the speed of walking!
2. What is the speed of the Earth at 30 kilometers per second?
From the perspective of the first cosmic velocity in the broad sense, the speed of about 30 kilometers and seconds can only keep the earth in orbit all the time, which is simply the first cosmic velocity at a distance of 100 million kilometers from the sun! When the Earth revolves at this speed, the centrifugal force generated is balanced by the gravitational pull of the Sun on it! We can even substitute the formula to calculate the first cosmic velocity at this position!
g is the gravitational constant, m is the mass of the sun (unit: kilograms), r is the diameter of the earth's orbit (unit: meters), if you are interested, you may wish to calculate! In fact, the exact number should be about kilometers and seconds!
3. The escape velocity of the sun
We have just learned about the first cosmic velocity (orbital velocity) of the Sun, so what is the escape velocity of the Sun in the Earth's orbit? is the second cosmic velocity of the Sun (in the Earth's orbit), calculated as follows:
If you're curious, the speed calculated by this formula is about kilometers of seconds, which is about kilometers or so beyond the speed of kilometers!
4. Why does it take 16 kilometers and seconds for Earth to escape from the solar system?
Because it needs to be separated from the Earth and the Sun at the same time, then I need to calculate the escape velocity of the Earth, which is about kilometers and seconds according to the second cosmic velocity, so the speed of breaking away from both at the same time is:
v= kilometers in seconds!
This speed has surpassed the Earth's first cosmic velocity and second cosmic velocity, so we will call this velocity the third cosmic velocity! But to be precise, the speed of flying directly out of the solar system from the Earth is kilometers and seconds!
Because kilometers and seconds are given by the rotation of the earth, and the earth is our home star, we generally use the earth as a reference frame when we leave the solar system, and we naturally ignore the speed of our own motion!
For example, if you jump out of a car at high speed, the distance will obviously increase!
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Because this third cosmic velocity is relative to the speed of the Earth, a spacecraft departing from the Earth can fly out of the solar system as long as the velocity reaches kilometers per second per second relative to the Earth (no subsequent acceleration process is required, but this kilometer per second is only the minimum speed, and the launch direction needs to follow the direction of the Earth's rotational velocity).
According to the idea of the second cosmic velocity, we can find the minimum velocity at which the spacecraft can escape from the gravitational control of the Earth, which is kilometers per second. Therefore, to escape the solar system, theoretically we only need to know the second cosmic velocity of the Sun, which is a minimum speed of kilometers per second from the Earth's orbit.
Our Earth, its orbital speed is about 30 kilometers per second, so it is not enough to meet the requirement of kilometers per second, so the Earth will not fly out of the solar system).
But the reality is that when our spacecraft escapes the gravitational pull of the sun, it also needs to overcome the influence of the gravitational pull of the earth, so taking into account the gravitational pull of the earth, the calculation shows that the spacecraft can escape the solar system and fly to the rest of the galaxy by starting from the earth and following the tangent direction of the linear velocity of the earth's revolution.
Looking forward to your comments and attention!
The Earth revolves around the Sun all the time, and the speed per second reaches an astonishing 30 km s, which at first glance does exceed the speed of the third universe, but why has the Earth not left the solar system?
Here we need to re-understand the definition of the third cosmic velocity:
The velocity required for a spacecraft taking off from Earth to break away from the gravitational pull of the solar system is. Note that this is a spacecraft taking off from the Earth, and this velocity value is calculated taking into account the Earth's orbital velocity, if the probe is launched in the tangent direction of the Earth's revolution, then the minimum velocity required is that if it does not follow this direction, then the required velocity is greater than.
So, the third cosmic velocity is about a spacecraft that takes off from Earth.
If the Earth wants to escape the gravitational pull of the Sun, the minimum speed required must be at least more than kilometers per second.
Because when it rotates, the speed on one side of the earth is 17+30, and the speed on the other side is 17-30, and the two sides cancel out, so they can't get out.
Third, the cosmic velocity requires that the velocity direction of the spacecraft when entering orbit must be consistent with the tangent of the Earth's orbit in order to break away, if there is a deviation in this direction, the required departure speed will be much greater than the speed of 17 km s, and the Earth needs to fly out of the solar system, the speed of not less than 42 km s.
Because the objects are different.
Newton's theory of gravitation and inertia are both fabricated fallacies that are completely contrary to the facts.
Third, the unit of cosmic velocity is meters and seconds, right? Ask for guidance.
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v 2 gm(2 r-1 a) g is the gravitational constant, m is the mass of the earth, r and v are the position and velocity of the artificial object with respect to the center of the earth, respectively, and a is the semi-long diameter of the orbit of the artificial object.
Second cosmic velocity v2: At this time, the orbital radius of the artificial object is , it gets rid of the gravitational field of the earth and flies away from the earth.
v2 2=2gm r is calculated: v2=
The third cosmic velocity v3: the flat ** velocity of the earth's motion around the sun is in the earth's orbit, and the escape velocity of the artificial celestial body from the sun's gravitational field is when it is consistent with the direction of the earth's motion, and the earth's motion speed can be fully utilized, in this case, the velocity required by the artificial celestial body after leaving the earth's gravitational field is only the difference between the two v0 = set on the earth's surface and the emission velocity is v3, and the two vitality formulas are listed respectively and are combined:
v3 2-v0 2=gm(2 r-2 d) where d is the radius of the earth's gravitational force, and since d is much larger than r, the term 2 d can be ignored compared with the term 2 r, from which it can be calculated:
v3=, which is the third cosmic velocity.
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Shortening the distance between the Earth and the Sun by 1,000 kilometers should not be a big deal and will not pose a threat to mankind, after all, the average distance between the Earth and the Sun is 100 million kilometers, and the difference between perihelion and aphelion is 5 million kilometers, and 1,000 kilometers is not even a small change. The Earth is special because of the special range of its orbit. The distance from the Sun does affect the Earth's environment under the influence of the atmosphere, magnetic field and other factors, but 1000 kilometers is really too small.
The radius of the Earth is 6,600 kilometers. The difference between aphelion and perihelion is 5 million megagrams**, but much of the planet is still under human control. A reduction of 1,000 kilometers on this basis would be too small, and scientists have calculated that the habitable orbit of the solar system extends from the orbit of Venus all the way to Mars.
A slight movement in the Earth's orbit will not have a significant impact.
<> is not always so far away from the sun, the current earth is measured far from the sun, the earth is a few centimeters a year or even a little less, but in such a long time, the distance between the earth and the sun is definitely closer or farther than now, and the history of life on the earth has been more than 30 billion, and the far and near points have not affected the life on the earth.
The atmosphere and water on the earth are important factors in the insulation of the earth, which can reflect a part of the sun's rays to the earth, and because of the continuous flow, the heat obtained from the sun is distributed to the world, so the earth can maintain a relatively balanced temperature, and the vast temperate zone is very suitable for human habitation. In addition, the size of the Sun itself is constantly changing, sometimes increasing, sometimes shrinking, due to the influence of Jupiter, Saturn and other giant planets, the position of the Sun in the center of the orbit of the Earth Race Answer Sphere is not very stable.
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Of course not. Because of this situation, the gravitational pull will increase, the glaciers at the poles of the earth will melt and agitate a little, and the lead difference at sea level will increase slightly, but it will not cause a devastating blow.
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Humanity should not perish, but life in the Great Trace is definitely not very good, the Antarctic and the Arctic will melt the slag of the state, the ocean area will increase and the mountains will increase, the land area will become smaller, and the resources will be less.
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Human beings will not perish, but the ecological environment on the earth and the way of life of people will change greatly, and there will often be floods and volcanic eruptions.
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It will not perish, because 1000 kilometers is very far away from the earth, and it will have no effect on the earth, at most it will make the temperature of the earth rise slightly.
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It will not perish, because it is 1000 kilometers away from the earth, it will not have much effect on the earth, at most it will only slightly increase the temperature of the earth.
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