PROBLEM 3. When a small correction 8U(r) is added to the potential energy U = -a!r, the paths of finite motion are no longer closed, and at each revolution the perihelion is dís- placed through a small angle 86. Find 8 when (a) &U = ß/r², (b) dU = x/2³
PROBLEM 3. When a small correction 8U(r) is added to the potential energy U = -a!r, the paths of finite motion are no longer closed, and at each revolution the perihelion is dís- placed through a small angle 86. Find 8 when (a) &U = ß/r², (b) dU = x/2³
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EV (tm) {√(x2m +E+²) - N√ (x 2 m ) 1²
PROBLEM 3. When a small correction 8U() is added to the potential energy U = −a!r,
the paths of finite motion are no longer closed, and at each revolution the perihelion is dís-
placed through a small angle 8. Find 8 when (a) SU B/r², (b) dU = 2/2³.
=
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