- #1

Sobeita

- 23

- 0

X= .5 * a

_{x}* t^2 + v

_{x}* t (+ c

_{x})

Y= .5 * a

_{y}* t^2 + v

_{y}* t (+ c

_{y})

...and of course, you can expand it to include more axes and more orders if you like.

Gravitation is a force, but to use it in the motion equation, you need it in acceleration form.

F

_{g}= G * mM / r^2;

F= m*a; Ag = Fg/m;

A

_{g}= G * M / r^2.

But if you use substitution, using A

_{g}, the motion equation is still always parabolic, despite what we know about orbits. The cause is obviously the presence of the "r" variable, which is dependent on the position of the object (so that acceleration changes based on its position, and that position affects the acceleration, and both change continuously.)

With an iterative approach, I am able to approximate motion due to gravitation. The result is essentially a long string of parabolas.

Is there a way to combine these two equations, A

_{g}and motion, into a true unified equation?