Here's how we can prove this:
* Definition of Period: The period of an orbit is the time it takes for a satellite to complete one full revolution around the Earth.
* Time is Measured in Seconds: Time is fundamentally measured in seconds. We use other units like minutes, hours, or days for convenience, but they are all ultimately derived from seconds.
* Orbital Mechanics Equations: The equations used to calculate orbital period involve time as a variable. For example, Kepler's Third Law states:
* T² = (4π²/GM) * a³
* Where:
* T is the orbital period
* G is the gravitational constant (a constant value)
* M is the mass of Earth (a constant value)
* a is the semi-major axis of the orbit (a distance measured in meters)
Since the equations involve time, the resulting orbital period will be measured in the same unit as time, which is seconds.
Example:
Let's say a satellite has an orbital period of 90 minutes. To convert this to seconds, we simply multiply:
90 minutes * 60 seconds/minute = 5400 seconds
Therefore, the satellite's orbital period is 5400 seconds.
