Aerospace Engineering > GATE 2022 > Orbital Mechanics
Consider a high Earth-orbiting satellite of angular momentum per unit mass ℏ and eccentricity e.
The mass of the Earth is M and G is the universal gravitational constant.
The distance between the satellite's center of mass and the Earth's center of mass is r, the true anomaly is θ, and the phase angle is zero.
Which of the following statements is/are true?
A
The trajectory equation is r = r(θ) = |ℏ|/(GM(1 + ecos θ))
B
The trajectory equation is r = r(θ) = |ℏ|2/(GM(1 + ecos θ))
C
ℏ is conserved
D
The sum of potential energy and kinetic energy of the satellite is conserved

Correct : b,c,d

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