It needs to change its velocity, which of course it does. I know you realize this, but keep in mind that the planet doesn't 'need' to sweep out equal areas of its orbital plane in equal amounts of time. It's a characteristic of elliptical orbits.
From Wikipedia: "A line joining a planet and the Sun sweeps out equal areas during equal intervals of time." (I believe it was later, that it was noticed that this followed from Conservation of Rotational Momentum.)That is, the planet will move faster when it is closer to the Sun.
Equal areas.
A planet's angular momentum is constant, which is one way of stating Kepler's second law of planetary motion, the one about sweeping out equal areas. The angular momentum of the daily rotation is also constant.
The true shape of planetary orbits was discovered by Johannes Kepler in the early 17th century. He formulated three empirical laws, now known as Kepler's Laws of Planetary Motion, which describe the motion of planets in the Solar System. These laws are as follows: The orbit of each planet is an ellipse with the Sun at one of the two foci. A line joining a planet and the Sun sweeps out equal areas during equal intervals of time. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.Kepler's Laws of Planetary Motion provide a mathematical description of the motion of planets in the Solar System and explain why planets move in elliptical orbits around the Sun.
KEPLER'S THREE LAWS:a) elliptical orbits:the sun is one focus of the ellpise;b)law of areas; a line between the usn and planet will voer equal areas during any equal orbit time;c) period-distance relationship; the time required for each planet to orbit the sun increases not quite as quickly as its average distance from the sun.
From Wikipedia: "A line joining a planet and the Sun sweeps out equal areas during equal intervals of time." (I believe it was later, that it was noticed that this followed from Conservation of Rotational Momentum.)That is, the planet will move faster when it is closer to the Sun.
Equal areas.
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.
Kepler's three laws of planetary motion can be described as follows: * The path of the planets about the sun are elliptical in shape, with the center of the sun being located at one focus. (The Law of Ellipses). * An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. (The Law of Equal Areas) * The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (The Law of Harmonies)
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.
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.
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.
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.
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.
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.
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.
Kepler's Second Law: The planet moves faster when it is closer to the Sun.