Calculating Gravity: Understanding Orbital Satellites in Circular Orbit

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this is one of the questions on my homework for today... can you guys explain to me how you will be able to get the answer for this?

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A satellites are placed in a circular orbit that is 2.3.59E7 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance? :confused:
 
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Didia said:
this is one of the questions on my homework for today... can you guys explain to me how you will be able to get the answer for this?

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A satellites are placed in a circular orbit that is 2.3.59E7 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance? :confused:

You need to know the universal gravitation law for the force of attraction between two objects. Then apply Newton's Second Law to find the acceleration of an object at that distance from the earth. You will find that the mass of the object does not matter. If you don't recognize the things I mentioned, find them in your text or search the internet.
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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