Final answer:
The orbital period of the space shuttle around Earth can be determined using Kepler's Third Law, but the question does not provide the orbital radius necessary for calculation. Additional information about the shuttle's orbit is required to give a precise answer.
Step-by-step explanation:
The time for one orbit of the shuttle around Earth can be calculated using Kepler's Third Law of planetary motion, which relates the orbital period of a satellite to its average distance from the center of the planet or star around which it orbits.
According to this law, the square of the orbital period (T) is directly proportional to the cube of the semi-major axis of its orbit (r). The formula to calculate the orbital period T is given by T = 2π√(r³/μ), where μ is the standard gravitational parameter of the central body (in this case, Earth).
To solve for the time for one complete orbit of the space shuttle, we will need to assume a circular orbit and use the data for Earth's mass and the gravitational constant (G).
However, as the question does not provide the orbital radius of the shuttle and calculating it might involve additional data such as the shuttle's altitude or speed, the question seems to be missing necessary information to provide an answer.