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 ?

Options

A. (1) Only
B. (2) Only
C. (3) Only
D. (1) and (3)

Answer

A

Explanation

Since the angular momentum of the satellite about the earth is conserved.
`thereforebar(L_a)=bar(L_p)`.