Angular momentum in gravitational field

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Homework Statement


Printed homework problem 10 on a planet under a gravitational field: force F(x) = -GmM/r^2 e_r, acceleration a = dv/dt = -GM/r^2 e_r, angular momentum conservation, and derivation of l^2 = Gm^2Mr[1 + ε·e_r], leading to α/r = 1 + ε cos θ with α = l^2/(Gm^2M).


Homework Equations

The Attempt at a Solution


I can't understand what is ɛ in this problem, and why should we adopt it. Could you explain me please?
 
Greetings,
Is that "The Orbital Angular Momentum"?