Question on convention - R vs r using universal law of grav.

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SUMMARY

The discussion clarifies the convention used in the universal law of gravitation regarding the notation of distance. The lowercase 'r' represents the total distance from the center of a celestial body, while the uppercase 'R' denotes the radial distance, specifically the radius of the planet. For instance, the formula r = R + h illustrates that 'r' is the total distance to a satellite, 'R' is the radius of the planet, and 'h' is the height above the planet's surface. This distinction is crucial for accurate calculations in gravitational physics.

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kjamha
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I have a question on convention regarding the universal law of gravitation formula. Sometimes the distance is represented with the lowercase r and sometimes with the uppercase R. Why is it listed two different ways? I am thinking that r is the total distance and R is the radial distance, no? For example, the distance to a satellite might be r = R + h, where r is total distance, R is the radius of the planet and h is the distance from the surface of the planet to the satellite. I am wondering what the convention is.
 
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kjamha said:
I have a question on convention regarding the universal law of gravitation formula. Sometimes the distance is represented with the lowercase r and sometimes with the uppercase R. Why is it listed two different ways? I am thinking that r is the total distance and R is the radial distance, no? For example, the distance to a satellite might be r = R + h, where r is total distance, R is the radius of the planet and h is the distance from the surface of the planet to the satellite. I am wondering what the convention is.

Yes, I've most often seen them used the way you suggest: r for the generic distance, R for the radius of the Earth or a specific object.
 

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