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III Law of Kepler

You are rubbing (not-generalized) the law of Kepler is stating that the relationship of the square of the revolution period of the planet around the Sun for moving away the biggest and smallest cube of the arithmetic mean from the Sun is permanent for all planets in the solar system what it is possible to fill with writing with pattern:

T1, T2 - revolution periods of two a1 planets, a2 - average distances of these planets from the Sun e.g. revolution period of the Earth - 1 year Wed. distance of the Earth from the Sun - 1 AU (jedn. astr.)

The generalized third law of Kepler is saying the generalized third law of Kepler, that every body of the solar system is moving around the shared centre of mass what it is possible to fill with writing with pattern:

where:

a- average distance of the given planet from the Sun

G - gravitational constant

m - mass of the given

MS planet - mass of the Sun

using the generalized third law of Kepler it is possible to deduce not-generalized law saving the law generalized for two planets and assuming that mass of planets is zaniedbywalnie small compared with mass of the Sun.

II Law of Kepler

SIMULATION

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.

I Law of Kepler

SIMULATION

The first law of Kepler states that every planet of the solar system will move around the Sun on the ellipse, in which he is one of bonfires Sun.

He results from the property of the ellipse, that for two locations of the planet, P1 and P2, is fulfilled

where O it Sun

It results from the law of mechanics that this law correctly is describing the movement of the planet in the agreement connected with the Sun. In the inertial arrangement both planet as well as alone Słońce are making a move after ellipses having one shared bonfire. This bonfire is coinciding with the centre of mass of the arrangement.

It is possible to circumscribe the ellipse to a lot of ways, in astronomy ellipses are most often circumscribed giving their large semi-axis (a) and eccentric (e) which the step of flattening the ellipse is describing (for them oh closer for nought, the closer ellipse is it for circle). When we know the length of the c segment between the middle, but one of bonfires we can write the pattern to the eccentric of the ellipse "e" equal:

e= c/a

Kopernik building one's model of the system heliocentycznego based sie still on the idea of combining uniform motions all over the district. It made it keep in the model several dozen small epicykli. Only Kepler exchanging these districts for ellipses got rid koniecznosci of leading epicykli.

Orbits of planets in our arrangement are largely little. Outside Mercury for which the eccentric exceeds 0.2 value a little bit, ellipses of orbits of remaining planets are below value 0.1.

Vital statistics

Solar system - planetary system of the Sun. He is making up, starting from the middle, from the following objects:

1. Suns

2. of 4 rocky planets- Of Mercury, Venus, of the Earth and Mars and them moon

3. of belt of planetoids

4. of 4 gas planets? Of the Jupiter, the Saturn, the Uranus and the Neptune and them moon

5. of all sorts of people of little objects lying outside the orbit of the Neptune, in it: - of objects of the Kuipera belt, in it among others of Pluto, on 24 August 2006 ranked among planets (at present it is treated as the very short planet) - of objects belonging to the dispersed disc so like among others Cruxes about untypical disturbed orbits. - of Oorta cloud (contractual border of the solar system).

According to the official division passed on gathering XXVI with General IAU 24 of the August of 2006 yr, running every of objects of the Arrangement around Słońce belongs to one of 3 categories:

1. planets (8)

2. very short planets (so far officially 3, in practice at least several dozen)

3. small bodies of the solar system (very large number).

Our Słońce together with his solar system he is one of 200 billion stars of the Galaxy of the Milky Way and c 25-28 thousand years are in a distance light with shoulder from its centre, in its shoulder called Oriona. The solar system is moving with the speed of 220 km/sec. and during about 226 million years he is going around centre of the Galaxy.

A star of average mass is in a centre of the solar system, that is Słońce. Between Mars and the Jupiter a strip of planetoids is. All planets are circulating all over elliptical orbits around the Sun practically in one plain. Only a Pluto has the orbit firmly tilted with regard to the ecliptic. Also she stays in the 2:3 resonance with the orbit of the Neptune in this way that periods are happening, when the Pluto is more close the Sun than the Neptune.

The Milky Way is one of about 125 billion galaxies noticed by the cosmic telescope Hubble'a. He is in a centre of this fragment of the Universe which we can observe. The background of this image constitutes the background radiation sent by gas heated up after the birth of the Universe, the track of the big bang.