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Consider a satellite orbiting the earth ...

Consider a satellite orbiting the earth as shown in the figure below. Let `L_(a) and L_(p)` represent the angular momentum of the satellite about the earth when at aphelion and perihelion respectively. Consider the following relations

(i) `L_(a)=L_(p)`
(ii) `L_(a)=-L_(p)`
(iii) `r_(a)xxL_(a) =r_(p)xxL_(p)`
Which of the above relation(s) is/are true ?

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