[F_g = - \frac{ G M m}{ r^2} \hat r ]

[ u_g = - \frac{ G M m }{ r} ]

• [u \Rightarrow ] potential

Mag: [ \frac{ G M m}{ x^2 + y^2} ]

Dir: [ - \left( \frac{ x \hat x + y \hat y}{ \sqrt{ x^2 + y^2}} \right) ]

[ F_o = - \frac{ G M m}{ x^2 +y ^2} \left( \frac{ x \hat x + y \hat y}{ \sqrt{ x^2 + y^2}} \right) ]

Mag: [ \frac{ G M m}{ (x - \frac{ a}{ 2})^2 + (y - \frac{a \sqrt 3}{ 2})^2 ]

Dir: [-( \frac { (x - \frac{ a}{ 2}) \hat x + (y - \frac{ a \sqrt{ 3}}{ 2}) \hat y}{ \sqrt{ (x - \frac{ a}{ 2})^2 + ( y - \frac{ a \sqrt{3}}{ 2})^2}})]