How Do You Calculate an Astronaut's Orbit Around the Moon?

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Homework Help Overview

The discussion revolves around calculating the orbital characteristics of an astronaut orbiting the Moon, specifically focusing on gravitational acceleration, orbital speed, and period of orbit. The problem assumes a circular orbit at a height of 100 km above the Moon's surface, with given values for the Moon's mass and radius.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevant equations related to gravity and circular motion, with one participant expressing uncertainty about how to proceed after calculating gravitational acceleration. Another participant requests to see the work done so far to clarify the reasoning.

Discussion Status

The discussion has progressed with one participant successfully calculating the gravitational acceleration and recognizing it as the acceleration experienced by the astronaut in orbit. There is a mix of exploration and clarification, with participants engaging in checking assumptions and sharing insights.

Contextual Notes

One participant noted confusion regarding the need for the astronaut's mass to determine the experienced acceleration, highlighting a potential assumption about the relationship between mass and gravitational effects in this context.

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Homework Statement


While 2 astronauts were on the surface of the moon, a third astronaut orbited the moon. Assume the orbit to be circular and 100km above the surface of the moon. If the mass and radius of the moon at 7.40x10^22kg and 1.70x10^6m respectively, determine (a) the orbiting astronauts acceleration, (b) his orbital speed, and (c) the period of the orbit


Homework Equations





The Attempt at a Solution


I'm pretty clueless here...
 
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Start with the easy bits. First collect whatever equations you think might be applicable. The question is about gravity and circular motion, so... what are the 'usual suspects' for formulas used there?
 
So I started doing it a bit and so far I have gotten the gravitational acceleration to be 1.71m/s^2 but from here how can I solve the actual acceleration the astronaut is experiencing without his mass?
 
Show your work so far for the acceleration.
 
Actually I solved it haha... I had a momentary brain fart. But anyway I solved for gravity and gravity is the acceleration that the person in orbit experiences and its easy from there.
 
Very good
 

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