When any planet orbits any sun then the line from the planet to the sun sweeps out a certain area every second (or hour etc). For a circular orbit it is obvious that the area swept out is the same for the same time interval, no matter where you start your measurement. It turns out that even for normal, or even highly, elliptical orbits (real planets, or even comets), it remains true that the area swept out per second, or hour etc is constant. Newton showed this to be a direct consequence of an inverse square law of gravitation, and explained this observation of Kepler, deduced from many painstaking observations and measurements.
Kepler's second law, also known as the law of equal areas, states that a planet sweeps out equal areas in equal times as it moves around the Sun. This means that a planet travels faster when it is closer to the Sun in its orbit and slower when it is farther away.
Kepler's law that describes how fast planets travel at different points in their orbits is called the Law of Equal Areas. This law states that a planet will travel faster when it is closer to the Sun and slower when it is farther away, so that the area it sweeps out in a given time is the same regardless of its distance from the Sun.
A consequence of Kepler's Second Law (law of equal areas) is that a planet moves faster in its orbit when it is closer to the Sun and slower when it is farther away. This results in an uneven distribution of orbital velocities throughout the planet's orbit.
Kepler's laws apply to the motion of planets around the Sun. Specifically, they describe the elliptical orbits of planets, the equal area law (planets sweep out equal areas in equal times), and the relationship between a planet's orbital period and its distance from the Sun.
It implies that the planet must move faster in its orbit when it's closer to the sun, and slower when it's farther from the sun, since, according to the second law, the radius vector joining the planet to the sun must sweep out equal areas in equal increments of time.
... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)... when it is closest to the Sun. (Kepler's Second Law)
Kepler's laws of planetary motion consist of three fundamental principles that describe the orbits of planets around the Sun. The first law, the Law of Ellipses, states that planets move in elliptical orbits with the Sun at one focus. The second law, the Law of Equal Areas, asserts that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time, meaning planets move faster when closer to the Sun. The third law, the Law of Harmonies, establishes a relationship between the period of a planet's orbit and its average distance from the Sun, stating that the square of the orbital period is proportional to the cube of the semi-major axis of its orbit.
Kepler's Laws of Planetary Motion:1] Each planet moves in an elliptical orbit with the sun at one focus2] The line form the sun to any planet sweeps out equal areas of space in equal time intervals3] The squares of the times of revolution (days, months or years) of the planets are proportional to the cubes of their average distances from the sun.
this corresponds to Keplers 3rd law of planetary motion P ^2 = R^3 p Squared is equal to the period of revolution, in years r is equal to the distance from the sun in astronomical units. this is a simple version of the principle, Newton modified it.
the equal area law.
Kepler's Third Law, also known as the Harmonic Law, states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
Kepler's first law says Neptune has an elliptical orbit with the Sun at one focus. The same goes for the other planets.