Question

The angular velocity of the revolution of a planet around the sun increases. Why?

Answer 1

Hint: In physics, angular velocity, also known as angular frequency vector, is a vector measure of rotation rate that describes how quickly an item spins or revolves relative to another point, i.e. how quickly its angular position or orientation changes over time. The magnitude of angular velocity, the rate at which an object rotates or revolves, is measured by a pseudovector, with its direction perpendicular to the immediate plane of rotation or angular displacement.


Complete step by step solution:
The study of oscillations on the Sun found that rotation is generally constant throughout the radiative interior and varies throughout the convective envelope depending on radius and latitude. The Sun rotates at a speed of around 2 km/s near the equator, and its differential rotation means that the angular velocity decreases as latitude increases. As measured in days from faraway stars, the poles rotate every 34.3 days and the equator every 25.05 days (sidereal rotation).
Kepler's second law may be used to explain why the angular velocity of the planets' rotation around the sun increases.
Kepler's second law states that In an elliptical orbit, the planet's orbital radius and angular velocity will change. The planet moves quicker when it is closer to the Sun, and slower when it is further away from the Sun, as illustrated in the animation. According to Kepler's second law, the blue sector has a constant area.
Planets are observed to travel faster as they draw closer to the sun because the sun's gravitational attraction becomes greater. In addition, for all planets, the moment of inertia about the axis decreases. To conserve angular momentum, angular velocity rises. The earth's moment of inertia along an axis through the sun changes as its distance from the sun changes.

Note:
Kepler's laws of planetary motion, published between 1609 and 1619 by Johannes Kepler, explain the orbits of planets around the Sun in astronomy. The rules changed Nicolaus Copernicus' heliocentric theory, describing how planetary velocities fluctuate by substituting circular orbits and epicycles with elliptical trajectories. The three laws are as follows:
A planet's orbit is an ellipse with the Sun at one of two foci.
A line segment connecting a planet and the Sun sweeps out the same amount of territory in the same amount of time.
The cube of the length of the semi-major axis of a planet's orbit is equal to the square of its orbital period.