Gravitational problem, spacecraft orbital period

In summary, the problem is to determine the altitude above the surface of the Moon at which a lunar module must orbit in order to complete each orbit in 1 hour, 49 minutes, and 39 seconds. The relevant equation to use is g = Gm/r^2, and additional research is needed to find the equation for orbital periods and the mass of the Moon.
  • #1
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Homework Statement



I need help getting started with this problem

At what altitude above the surface of the Moon must a lunar module orbit in order to complete each orbit in 1 h 49 min 39 s?

Homework Equations


g= Gm/r^2 ?

The Attempt at a Solution


Not quite sure how to start or anything , any help would be nice
 
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  • #2
You need to research some additional items. Look in your notes and textbook for the topic of orbital periods. You should be able to find an equation that will give you the period, knowing the mass of the central body. So you'll need to look up the mass of the Moon, too...
 

1. What is a gravitational problem?

A gravitational problem refers to any issue or complication that arises in the study or application of gravitational forces and interactions. This can include understanding the effects of gravity on objects, predicting the trajectories of celestial bodies, or designing spacecrafts to navigate through gravitational fields.

2. How is the orbital period of a spacecraft determined?

The orbital period of a spacecraft is determined by its altitude, velocity, and the mass of the object it is orbiting. This can be calculated using Kepler's third law, which states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit.

3. What factors affect the orbital period of a spacecraft?

The orbital period of a spacecraft can be affected by several factors, including the mass and gravitational pull of the object it is orbiting, the altitude and speed of the spacecraft, and any external forces or perturbations acting on the spacecraft.

4. How does the gravitational problem affect spacecraft missions?

The gravitational problem can greatly impact spacecraft missions by influencing the trajectory, speed, and stability of the spacecraft. It is essential for scientists and engineers to accurately understand and account for gravitational forces in order to successfully navigate and control spacecrafts during missions.

5. What are some solutions to the gravitational problem in space exploration?

Some solutions to the gravitational problem in space exploration include using advanced mathematical models and simulations to predict and account for gravitational forces, designing spacecraft with specific features and technologies to counteract gravitational effects, and utilizing multiple spacecraft to study and map gravitational fields in space.

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