Final answer:
The period of a spacecraft's orbit, given its specific angular momentum, can be calculated using the spacecraft's orbital velocity and the circumference of the orbit. However, the highly unrealistic period of about 50 billion years indicates a mistake in the provided calculation.
Step-by-step explanation:
The question involves calculating the orbital period of a spacecraft given its specific angular momentum. The specific angular momentum provided is 48,000 km2/s. To find the period of a circular orbit, we can use the equation T = 2πr/Vorbit, where T is the orbital period, r is the radius of the orbit, and Vorbit is the orbital velocity. Given that the orbital velocity is 47 km/s, we can solve for T.
However, the period provided seems to be incorrect as it indicates about 50 billion years, which is unrealistic for an Earth-orbiting spacecraft. The correct calculation would be to find the circumference of the orbit using the radius and divide it by the given orbital velocity to determine the period.