As the orbital radius of a celestial body's orbit increases, the period of the orbit also increases. This means that it takes longer for the celestial body to complete one full orbit around its central object.
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As the orbital radius increases in a planetary system, the period of the orbiting object also increases. This means that the time it takes for the object to complete one full orbit around its central body becomes longer as the distance between them grows.
To determine the period of orbit for a celestial body, one can use Kepler's Third Law of Planetary Motion, which 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. By measuring the semi-major axis of the orbit and the gravitational force acting on the celestial body, one can calculate the period of its orbit.
When the period of a wave decreases, the frequency of the wave increases. This is because frequency and period are inversely related - as one increases, the other decreases. So, a shorter period corresponds to a higher frequency.
The period of a pendulum is directly proportional to the square root of its length. As the length of a pendulum increases, its period increases. Conversely, if the length of a pendulum decreases, its period decreases.
When the mass of an oscillating object increases, the period of oscillation remains the same in simple harmonic motion if the restoring force does not change. If the mass increases but the restoring force (such as spring stiffness or gravitational force) remains constant, the period will not be affected.