Effective Potential - Definition

Definition

The effective potential is defined in the following way:

L is the angular momentum
r is the distance between the two masses
m is the mass of the orbiting body
U(r) is the general form of the potential

The effective force, then, is the negative gradient of the effective potential:

\begin{align}
\mathbf{F}_\text{eff} &= -\nabla U_\text{eff}(\mathbf{r}) \\ &= \frac{L^2}{mr^3}\hat{\mathbf{r}} - \nabla U(\mathbf{r})
\end{align}

Where denotes a unit vector in the radial direction.

Read more about this topic:  Effective Potential

Famous quotes containing the word definition:

    Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.
    Nadine Gordimer (b. 1923)

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    Mothers often are too easily intimidated by their children’s negative reactions...When the child cries or is unhappy, the mother reads this as meaning that she is a failure. This is why it is so important for a mother to know...that the process of growing up involves by definition things that her child is not going to like. Her job is not to create a bed of roses, but to help him learn how to pick his way through the thorns.
    Elaine Heffner (20th century)