# How reliant is the Solar System on being exactly the way it is?

We know that all objects with mass exert forces on all other objects of mass such that

$$F = \frac{GMm}{R^2}.$$

And as others have discussed the planets do interfere with each other gravitationally to a small degree.

My question is how reliant the solar system is on its exact structure. If a planet were to change its alignment or orbit or gravitational effect on other planets, through gain of a mass through an asteroidal collision for example.

Would a deviation in the structure of the solar system as it is cause it to collapse? e.g planets change orbits significantly enough to drift away from the sun or drift into it?

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Good question, but it goes deep into orbital resonances. The familiar rules of gravitation start to look extremely different when played out over millions of years. I could confidently say it wouldn't cause planets to plummet to their death in the very next orbit, but after that the system is quite chaotic. –  Alan Rominger May 14 '13 at 12:04
I second Alan's comment; over a long enough time period, all the planets will either be ejected from the solar system, or collide with the sun. However, removing one of the planets at the present time probably won't have much of an effect in the near term. –  Dmitry Brant May 14 '13 at 13:46
also @downvoters, would you care to comment? I cant improve the question if you don't tell me whats wrong! –  RhysW May 14 '13 at 15:25
@BenCrowell there is no reason to constrain the problem as such. There is no lack of 'self-consistency', the problem just becomes one of artificial initial conditions---i.e. the current positions and velocities, but the dynamic situation has one fewer body. RhysW's response is exactly correct, if you required a 'rapid acceleration' you might as-well require an explanation for it, or an entire universe where such an explanation would naturally arise. –  zhermes May 14 '13 at 16:00
@BenCrowell what I'm saying is that there is no reason to require conservation of mass in this situation. Say you have a mass on a spring, with some initial oscillation. Then say half the mass disappears. There's no issue: it's the same as saying you have half the initial mass with some artificial initial displacement and velocity. –  zhermes May 14 '13 at 17:13