gravity of earth

It attracts them (a bit).

It is not Earth's gravity. The difference in force of Gravity is due to mass and distance. A larger collection of mass is going to create a greater force. Being closer to a mass is going to create a stronger force.

All matter no matter is attracted to all other matter, no matter how far away you are.

You could literally be at the ends of the universe and the mass of the earth would still be attracting you. the force at that point would be infinitely small, but present all the same.

within a solar system, planets have effects on each other and while our orbit about the sun is elliptical, we sort of wobble along that path more than move along it's true plot.



G - Gravitational constant
M - Mass 1 (earth in this case)
m - Mass 2, (some other planet)
d - distance

This equation is only scaler, so it is not the force. A force is a vector.

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The vector of the force is just a line between the two centers of masses.

That would be the distance vector, which would be co-linear with the force vector. The displacement vector divided by the scaler value of the distance will give you the unit vector (of direction) which would give you the direction(s) in which the force would act.

Technically speaking.
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I do not think so the force should act on the line between the two masses and the overall displacement vectors would be the sum of all the vectors forces causing acceleration on the objects and their current movement at any give moment in time.

You sound good however.

It does.


There is ONE displacement vector, and ONE force vector, not multiple ones. A vector can be broken into dimensional components though.

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