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For each planet, the line between the Sun and the planet sweeps an equal area in equal time.
Inference from Kepler's second law.
Let the orbits of planets 1 and 2 have radii r1 and r2 respectively, and when r1 is less than r2. 1) The linear velocity of planet 1 is greater than that of planet 2;
2) the angular velocity of planet 1 is greater than that of planet 2;
3) The acceleration of Planet 1 is greater than that of Planet 2.
4) The period of Planet 1 is smaller than that of Planet 2.
5) In the same amount of time, Planet 1 travels more than Planet 2.
6) In the same amount of time, Planet 1 swept at an angle greater than Planet 2 swept by.
When the planet moves in an elliptical orbit, the polar diameter.
Also known as radial r) swept area is proportional to the elapsed time, that is, the grazing surface velocity is conserved, that is, the vector product is conserved, and the momentum moment (angular momentum) is conserved. If the time of each step is the same, the area swept by the radial is also equal, that is, the surface velocity does not change and the shape changes. The velocity of the sagittal surface is conserved, and the square root of the gravitational constant of the celestial body and the radius of the smallest curvature.
Celestial velocity (vs) * polar diameter (r) * sine sin ( ) = of the angle between the two sagittal angles
gml0)^1/2
Constant (j0).
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This law actually reveals the conservation of angular momentum around the Sun.
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Kepler's second law, which appears explicitly in Chapter 3 in the conservation of angular momentum, can be deduced using the theory of relativity.
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Kepler's second law states that angular momentum is conserved.
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Angular momentum. Registration is through Oh too.
I know where you read the subject.
Boss, give me a point.
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The angular momentum of the planets moving around the Sun l is constant.
The direction of l is unchanged, indicating that the orientation of the plane determined by r and v is unchanged, that is, the planet is always moving in a plane, and its orbit is a plane orbit, and l is perpendicular to this plane.
Secondly, the angular momentum of the planets towards the Sun is, l=mrvsin =mrsin |dr/dt|
mlim(r|δr|sin ) t) δt->0 and r|δr|sin is equal to twice the area of the shadow triangle, and this area is denoted by δs, then.
r|δr|sinα=2δs
Substitute for the wide middle into the above formula.
l = 2 mlim(δs δt) = 2 mds dt.
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Which of the following authors has successfully explained Kepler's law?
a.Newton's laws of motion.
b.The law of gravitation.
c.The law of singularity.
d.To pure potatoes on the options are all.
Correct answer: ab
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That is, the laws of motion of the planets, the three simple laws that the planets obey as discovered by Kepler.
The first law: Each planet orbits the Sun in its own elliptical orbit, and the Sun is in a focal point of the ellipse;
The second law: In equal time, the area swept by the line of the sun and the moving planets is equal;
The third law: the square of the period of revolution of the planets around the Sun is proportional to the cube of the semi-major axis of their elliptical orbits.
Around the orbits of the planets, and especially whether they are centered on the sun, scientists have been engaged in centuries-long battles with religious leaders and their own peers. In the 16th century, Copernicus proposed the controversial heliocentric theory that the planets orbit around the sun rather than the earth. Since then, the first number of people such as Gu Brahe have also discussed it.
But it was Johannes Kepler who really established a clear scientific basis for planetary kinematics.
Kepler's three laws of planetary motion, proposed in the early 17th century, describe how planets move around the sun. The first law, also known as the law of ellipse; The second law, also known as the law of area, is explained in other words, that is, if you track and measure the area formed by the line between the earth and the sun with the movement of the earth for 30 consecutive days, you will find that no matter where the earth is in orbit and no matter when you start to measure, the result is the same. As for the third law, also known as the law of harmony, it allows us to establish a definite relationship between the orbital period of a planet and its distance from the sun.
Planets as close to the Sun as Venus, for example, have a much shorter orbital period than Neptune. It was these three laws that completely destroyed Ptolemy's complex cosmic system.
Proof of Kepler's first law.
The gravitational pull of the planet on the Sun is f=-(gmm r)r° >>>More
Example: The locomotive with a mass of 100t starts from the parking lot, after 225m, the speed reaches 54kmh, at this time, the driver turns off the engine, let the locomotive enter the station, and the locomotive travels another 125m before stopping at the station. Let the resistance of the locomotive remain unchanged, and seek the traction force of the locomotive before turning off the engine. >>>More
Just a moment. But are you sure there really is this 2nd law?
With the development of mankind in the next 20 years, it is difficult for people to get there in their lifetime.