If you were traveling on an asteroid in space and you suddenly lost contact with its surface or fell off, several things could happen depending on the circumstances:
Drifting in space: Once you lose contact with the asteroid's surface, you would start drifting in space due to the lack of gravity or other forces holding you in place. Without any means of propulsion or a tether to connect you to the asteroid, you would continue moving along your existing trajectory.
Separation from the asteroid: If you were previously attached to the asteroid, such as by a spacecraft or a suitably secure anchor, losing contact could result in separation. The force or momentum that caused the separation might also impart some initial motion to you.
Lack of propulsion: Unless you have your own means of propulsion, such as a jetpack or a spacecraft, you would be unable to control your movement or change your trajectory. This would leave you at the mercy of your existing momentum and gravitational influences from nearby objects.
Isolation and potential rescue: Being adrift in space without contact with the asteroid or any means of communication would likely leave you isolated. Without outside assistance, it would be challenging for someone to locate and rescue you in the vastness of space.
Potential danger: The lack of a spacesuit or life support systems would pose a significant risk to your survival. The vacuum of space, extreme temperatures, and radiation would all be hazardous to your health. The duration of your survival would depend on various factors, including available resources, protection from the elements, and access to oxygen.
It's important to note that this hypothetical situation assumes you are traveling on a relatively small asteroid without any significant gravitational field. If you were on a larger celestial body like a planet or a moon, the effects and consequences of losing contact or falling off would differ significantly.