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Show that the area swept by a planet in ...

Show that the area swept by a planet in a given interval time is constant.

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Area swept by a planet in moving from A to B in a time interval `Delta` is
`Deltavec(A)=1/2(vec(r)xxvec(v)Deltat). " where " vec(AB)=vec(v)Deltat`
But `vec(L)-vec(r)xxvec(p)and |vec(p)|=m|vec(v)|`
`:.vec(DeltaA)/(Deltat)=(1/(2m))vecL`
Since gravitational force is central force, angular momentum remains a constant.
`:.|(Deltavec(A))/(Deltat)|=` constant
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