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【天文学】带你了解宇宙速度

史事挖掘机  · 公众号  · 历史  · 2017-06-09 21:55

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大家在观看科学节目讲解火箭时可能都会听到xx火箭已达到第一宇宙速度……但是,“宇宙速度”到底是什么意思?它包含了什么内容?今天就让我们了解一下。

Everyone watching a science program on the rockets could hear "xx" rocket has reached the first cosmic speed... However, \"the speed of the universe\" exactly is what mean? It contains what content? Let's look at today.


人类的航天活动,并不是一味地要逃离地球。特别是当前的应用航天器,需要绕地球飞行,即让航天器作圆周运动。众所周知,必须始终有一个力作用在航天器上。其大小等于该航天器运行线速度的平方乘以其质量再除以公转半径,即F=mv^2/R.在这里,正好可以利用地球的引力。因为地球对物体的引力,正好与物体作曲线运动的离心力方向相反。 经过计算,在地面上,物体的运动速度达到7.9千米/秒时,它所产生的离心力(效果力),正好与地球对它的引力相等。这个速度被称为环绕速度。

The human space activities, and not blindly to escape from the earth. Especially the application of the spacecraft, the need to fly around the earth, which make the spacecraft as a circular motion. As is known to all, must always have a force on the spacecraft. Its size is equal to the speed of the spacecraft paths of square times its quality divided by the orbital radius, namely F = ^ 2 mv/r. here, just can make use of the earth's gravity. Because the gravity of the earth to objects, and objects curve centrifugal force in the opposite direction of the movement. Through calculation, on the ground, the object's velocity is 7.9 km/SEC, it produces centrifugal force (effect), equal to its gravity coincide with earth. This rate is called speed around.


宇宙速度是物体从地球出发,在天体的重力场中运动,四个较有代表性的初始速度的统称。 航天器按其任务的不同,需要达到这四个宇宙速度的其中一个。

Speed of the universe is the object from the earth, in the gravitational field of object motion, four more representative of the initial velocity. Spacecraft according to its mission of different, need to be one of the four speed of the universe.


第一宇宙速度:

 7.9千米/秒(卫星绕地球做近似圆周运动的最大环绕速度)

 在地面上向远处发射炮弹,炮弹速度越高飞行距离越远,当炮弹的速度达到“7.9千米/秒”时,炮弹不再落回地面(不考虑大气作用),而环绕地球作圆周飞行,这就是第一宇宙速度。

 第一宇宙速度也是人造卫星在地面附近绕地球做“匀速圆周运动”所必须具有的速度。但是随着高度的增加,地球引力下降,环绕地球飞行所需要的飞行速度也降低,所有航天器都是在距地面很高的大气层外飞行,所以它们的飞行速度都比第一宇宙速度低。同时第一宇宙速度又称为环绕速度。

 第一宇宙速度的计算公式是:

 V1=√(gR)(m/s),其中g=9.8(m/s^2),R=6.4×10^6(m)。

 需要强调的是,第一宇宙速度有两重意义。它既是发射航天器时的最小初速度,也是航天器在绕地球飞行(圆周运动)时的最大环绕速度。

7.9 km/SEC (satellite do approximate circular motion around the earth's maximum speed around)


Firing artillery rounds into the distance on the ground, projectile velocity, the higher the farther flight, when the shells at the speed of the "7.9 km/SEC, no longer fall back to the shell (regardless of the atmospheric effect) on the ground, and a circular flight around the earth, this is the first cosmic velocity.


The first cosmic speed is also near the ground satellite do "uniform circular motion around the earth must have the speed. But with the increase of the height, the gravity drop, speed required to orbit the earth was also lower, all of the spacecraft is flying high from the ground outside the atmosphere, so their speed is lower than the first cosmic velocity. At the same time is also called speed around the first cosmic velocity.


The first cosmic velocity calculation formula is:


V1 =) (gR) (m/s), including g = 9.8 (m/s ^ 2), R = 6.4 * 10 ^ 6 (m).


Need to emphasize that the first cosmic velocity has a dual meaning. When it is not only the launch of the spacecraft, the minimum velocity, is also a spacecraft orbiting the earth's largest speed round (circle).


第二宇宙速度:

11.2千米/秒 (飞离地球进入环绕太阳运行轨道的最小速度

当物体(航天器)飞行速度达到11.2千米/秒时,就可以摆脱地球引力的束缚,飞离地球进入环绕太阳运行的轨道,不再绕地球运行。这个脱离地球引力的最小速度就是第二宇宙速度。各种行星探测器的起始飞行速度都高于第二宇宙速度。

第二宇宙速度(V2) 当航天器超过第一宇宙速度V1达到一定值时,它就会脱离地球的引力场而成为围绕太阳运行的人造行星,这个速度就叫做第二宇宙速度,亦称脱离速度。按照力学理论可以计算出第二宇宙速度V2=11.2公里/秒。由于月球还未超出地球引力的范围,故从地面发射探月航天器,其初始速度不小于10.848公里/秒即可。

假设在地球上将一颗质量为m的卫星发射到绕太阳运动的轨道需要的最小发射速度为V;

此时卫星绕太阳运动可认为是不受地球引力,距离地球无穷远;

认为无穷远处是引力势能0势面,并且发射速度是最小速度,则卫星刚好可以到达无穷远处。

由动能定理得

1/2*mV^2-GMm/r=0;

解得V=√(2GM/r)

这个值正好是第一宇宙速度的√2倍。

The speed of the universe:

11.2 km/SEC (fly away from the earth into orbit around the sun, the minimum speed)


When an object (craft) speed is 11.2 km/s, can cast off the yoke of the earth's gravity, fly away from the earth to orbit around the sun, no longer revolves around the earth. The minimum speed out of the earth's gravity is the second cosmic velocity. A variety of planetary probes starting speed is higher than the second cosmic velocity.


The second cosmic velocity V1 (V2) when the spacecraft over first cosmic velocity reaches a certain value, it will be out of the earth's gravitational field and become artificial planets around the sun, this rate is called the second cosmic velocity, also called escape velocity. The second cosmic velocity can be calculated according to the mechanics theory V2 = 11.2 km/SEC. Because the moon is not beyond the scope of the earth's gravity, so the lunar spacecraft fired from the ground, the initial speed of not less than 10.848 km/SEC.


Suppose in the earth will be a quality for m satellite launch into orbit around the sun need the minimum launch speed V;


The satellite motion around the sun can be considered to be not affected by gravity, infinite distance from the earth;


Think infinity is gravitational potential energy 0 potential surface, and the rate of fire is the minimum speed, the satellite just can reach infinity.


By the kinetic energy theorem


1/2 * mV ^ 2 - GMm/r = 0;


Solution to (2 gm/r) V =)


This value is the square root of 2 times the first cosmic velocity.


第三宇宙速度

(又称脱离速度):是指在地球上发射的物体摆脱太阳引力束缚,飞出太阳系所需的最小初始速度。其大小为16.7km/s。

环绕速度和逃逸速度也可应用于其他天体。例如计算火星的环绕速度和逃逸速度,只需要把公式中的M,R,g换成火星的质量、半径、表面重力加速度即可。

The third cosmic velocity

(also known as the escape velocity) : refers to the launch of the objects on the earth from the sun's gravity, the minimum velocity required to fly out of the solar system. Its size is 16.7 km/s.

Surrounding the speed and escape velocity can also be applied to other objects. Calculate the speed around Mars and escape velocity, for example, only need to put the formula of M, R, g, for Mars, radius, and the quality of the surface gravity acceleration.

第四宇宙速度

所谓第四宇宙速度,是指在地球上发射的物体摆脱银河系引力束缚,飞出银河系所需的最小初始速度,约为110-120km/s,指在银河内绝大部分地方所需要的航行速度。如充分利用太阳系围绕银心的转速,最低航行速度可为82km/s。由于人类对银河系所知甚少,这个数字还需要很久才能形成公论。指在银河内绝大部分地方所需要的脱离速度。目前根本无法得出第四宇宙速度,原因是对于银心的质量以及半径等无法取值。

The fourth cosmic velocity

The fourth cosmic velocity, refers to the launch of the objects on the earth get rid of the Milky Way's gravity, the minimum velocity required to fly out of the Milky Way, is about 110-120 - km/s, in most of the parts inside the Milky Way sailing speed you need. Such as make full use of the speed of the solar system around the galactic center, minimum sailing speed to 82 km/s. Because humans know little about the Milky Way, the number is need a long time to the public opinion formation. For the most part refers to the galactic place need to escape velocity. At present can not draw the fourth speed of the universe, the reason is for the quality of the galactic center and radius values.

第五宇宙速度

 第五宇宙速度指航天器从地球发射,飞出本星系群的最小速度大小,由于本星系群的半径、质量均未有足够精确的数据,所以无法准确得知数据大小。目前科学家估计本星系群大概有500--1000万光年,照这样算,应该需要1500--2250km/S的速度才能飞离,但这个速度以人类目前的科学发展水平,至少要几百年才能达到,所以现在只是个幻想。

The fifth speed of the universe

Fifth cosmic velocity refers to the spacecraft is launched from earth, fly out of the cluster size of the minimum speed, due to this, the quality of the radius of the clusters of galaxies are not enough accurate data, so cannot know accurate data size. Now scientists estimate that this group of galaxies about 500-10 million light years away, as such, should need to fly at a speed of 1500-2250 km/S, but the speed to human's current level of scientific development, at least hundreds of years to achieve, so now is just a fantasy.

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第六宇宙速度

第六宇宙速度指航天器从地球发射,飞出全宇宙的最小速度大小(准确来说是可见宇宙),但由于可见宇宙的具体半径,质量等数据未知,且众所周知,宇宙在膨胀,所以这个数据应该是不确定的,人们也不知道宇宙外面是否还有界。所以第六宇宙速度还是个有待研究的话题。

The sixth speed of the universe

Cosmic velocity 6 refers to the spacecraft is launched from earth, fly out of the universe the size of the minimum speed is visible universe (accurately), but because of the visible universe specific radius, such as quality data is unknown, and it is well known that the universe is expanding, so the data should be uncertain, people also don't know whether the universe outside and bounded. So 6 is still a topic to be studied in the speed of the universe.