No, it is not possible to put a satellite in orbit only 100 feet above the Moon's surface. In order for an object to maintain a stable orbit around a celestial body, it needs to reach a certain altitude and velocity to counteract the gravitational pull of that body.
The concept of an orbit involves achieving a balance between the gravitational force pulling the satellite toward the Moon and the centrifugal force generated by the satellite's velocity. This balance allows the satellite to continuously fall toward the Moon while simultaneously moving forward, resulting in a stable, curved path around the Moon.
To achieve this balance, a satellite needs to be at a sufficient altitude above the Moon's surface. The exact altitude required for a stable orbit depends on various factors, such as the mass of the celestial body and the desired orbital velocity.
In the case of the Moon, its mass is much smaller than that of Earth, which means that a satellite would need to achieve a relatively lower velocity compared to Earth's satellites. However, even for the Moon, an altitude of just 100 feet (about 30 meters) would be far too low to establish a stable orbit. The satellite would quickly succumb to the Moon's gravity and either crash into the surface or experience significant atmospheric drag if there were an atmosphere present.
To achieve a stable orbit around the Moon, a satellite would typically need to be at an altitude of several kilometers above the surface. This would allow it to achieve the necessary orbital velocity to maintain a stable trajectory without succumbing to the Moon's gravitational pull.