Are we within earth's roche limit?   please please solve exact and accurate answer of above question!!

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Are we within earth's roche limit?

 

please please solve exact and accurate answer of above question!!

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Concept and Principle:

The Roche limit or Roche radius is the distance within which a moon or an object which is held together by its own gravity will disintegrate due to the tidal force of the second object. If the first object is inside the limit it will be dispersed and will form rings. The Roche limit is given by,

d=R(2ρMρm)13

Here R is the radius of the primary object, ρM density of the primary object, and ρm is the density of the second object.

 

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