User:MetaBohemian/Math

Newton's Law of Universal Gravitation
$$F_G = \frac{G m_1 m_2}{r^2}$$

Resolving Forces
$$F_x = F \cos \theta$$

$$F_y = F \sin \theta$$

$$\tan \theta = \frac{\Delta y}{\Delta x} \to \theta = \tan^{-1} \frac{\Delta y}{\Delta x}$$

Pythagorean Theorem (Distance Formula)
$$r^2 = (\Delta x)^2 + (\Delta y)^2$$