Hi,They will, if they begin with no motion relative to each other, other than directly toward or directly away from each other. Here's a place to play with the idea:
https://phet.colorado.edu/sims/my-solar-system/my-solar-system_en.html
Set the slider to "accurate" and unclick "trace" to get a good look at it.
I am on an iPad. Adobe8 is needed, and it won't download. I will try harder later. I also teach, but in mentor mode only and meant by me as a one on one type of interaction, gravity at times. So, visually, gravity is a simulation that plays like a video in my heart and looked at with my minds eye, before or during my mentor interactions. Sometimes it is only thought or thought images.
Thanks anyway. For others not you, Gravity is force at a distance and more, but I don't know those 'mores' yet like making space because only mass makes space and only mass makes gravity also.
Again, for others not you, the result when measuring and confirming the results of others, gravity, decreases faster, than the amount of distance separating the objects. It does that by a lot. I don't want to use a foreign language yet.
Whether any person here uses a gently tilted ramp with a rolling ball, or a strobe and a camera with a ball and a ruler, gravity can be measured on earth, which is the lesson.
The lesson is to see for yourself. By seeing, one knows that Nut jobs, known normally as professors teachers researchers, are actually uncomfortably correct.
Those planets even with some motion, again not for you, are affected still by each other. If they have beginning motion away, and if it is enough as gravity falls off quickly, (relative distance times relative distance, and not, relative distance alone, thus resulting in 4 changing the force by 16, not 4, and 1/4 changing the force by 1/16, not 1/4th.), although the planets will still never collide then, the speed at which they would be traveling is changed to a new speed because of that other planet.
In my head video, All of your statements are run, and they are the way you said.
Off topic, it is in running head videos, or pictures, when I can see atoms in a junction that way, with all the components needed for the question at hand, that I have used and still do, for solving some but not all problems.
Now it seems, computers and even MathLab do that.
LOVE,
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