sobota, 6 września 2008

II Law of Kepler

The second law is saying Kepler, that in equal individuals of the time, the leading ray of the planet taken from the Sun is circling level fields. He results from here, that in the perihelion (in the vicinity of the Sun), the planet is moving more quickly than in aphelium (far from the Sun).
The planet is staying a long way in the sequence of the same time in the vicinity perihelion, than in the vicinity aphelium, that is the linear speed in the vicinity of the perihelion is higher than in aphelium. For example for the orbit of the Earth (eccentric oh = 0.01672) the linear speed of the Earth in the perihelion amounts to 30.3 km/sec., whereas in aphelium 29.3 km/sec..
The second law of Kepler is closely connected with the principle of keeping the moment of momentum. Gravitational powers, as the central influence, in the double arrangement they aren't triggering moments of powers, and so the moment of momentum of the arrangement is remaining kept. The field speed is closely connected with the moment of momentum of the planet
where K is the moment of momentum of the planet, whereas the m is its mass.
We are examining the planet which is moving in the gravitational field of the Sun, where:
m - mass of this planet
M - mass of the Sun
r- distance of this planet from the Sun
T - around the Sun we are establishing the revolution period of the planet, that the planet will move on the district, and so the centripetal force is equal of the strength of the gravitational force between these bodies.

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