Kepler’s laws

Kepler’s laws were named after the German astronomer Johannes Kepler (1571-1630), who was known as Kepler.
The initial legal act is 1– The satellite makes a complete revolution around its center in an orbit, which is a second-order curve, in the center of which there is a central body.
The key directions of the second order, which are formed by connecting a cone with a plane that is inclined to its base at various angles, are a circle, an ellipse, a parabola and a hyperbola. The two faces of the circle have the same focus as its center. The Ellipse has two abilities that are at different levels and have the ability to be connected to each other the closer the greater its eccentricity. It is established that the central body located in any of the foci is closer to one of the poles of the ellipse – the pericenter than to the other – the apocenter.
A parabola and a hyperbola are two closed curves that relate to each other. That is why the central body can only be detected in one of the two foci, since the second one is infinitely far away. Therefore, the movement of the body along this trajectory occurs once and comes to infinity from infinity, and then leaves from there. Some of the real bodies, such as some comets that have hyperbolic near-solar trajectories, can come and go from interstellar space. As you know, a parabola is a transition curve between an ellipse and a hyperbola.
There is a 2nd law. At the moment of moving the satellite around the center, its radius vector (or the line that connects it to the central body) describes, sweeps and covers equal areas in the plane of the orbit for the same period of time.
The area of the two sectors of the orbit, which are limited by radius vectors, which deal with two segments of the orbits that the satellite passes in the same time, is equal. It indicates that the satellite has the ability to move around the orbit at different speeds in different parts of it. Its indicators are maximal in the pericenter and minimal in the apocenter.
In accordance with the 3rd law, the law is in force. The time of rotation of satellites around the center of the Earth, raised to the second degree, is proportional to the values of the large semi-axes of their orbits, raised to the third degree.
In particular, based on this formulation, it is possible to determine the large semi-axes of the orbits of bodies that revolve around the Sun. This is necessary in order to know the period of rotation of the body, the period of rotation of the Earth and the magnitude of the large semi-axis of the Earth’s orbit.
I. This law was formulated by Isaac Newton in a more general form. As a result of the product, the sum of the masses of the satellite body and the central body is equal to the product of a known coefficient by the magnitude of the large semi-axis of the satellite’s orbit, raised to the third power. The new values of the 2nd formulation of Kepler’s 3rd law make it possible to determine the mass of cosmic bodies.”