The thought of wandering planets is mind boggling to me...even more so the thought of a planet just "appearing" and becoming trapped in our solar system. I wonder what effect it would have on earth if another planet of...lets say similar to earth mass....gets trapped in our system and "settles" somewhere in the habitable zone.
The odds of that are low. The relative velocity of any planemo passing through the Sol system would probably be too high for it to be captured. If by some striking coincidence it were moving slowly enough to be captured, it would be in a highly eccentric cometary orbit at first and would probably take tens of millions of years to settle into anything resembling a regular orbit.
I've always preferred the term "rogue planet", which may or may not have official recognition.
The difference is that a rogue planet would be a planetary body that formed within a star system and was later ejected. A planemo (
planetary-
mass
object) is a small body that formed on its own and was never part of a planetary system; thus, it's got the mass of a planet but isn't technically a planet or former planet, because a planet is a body that orbits a star.
The effects of being trapped in our solar system would be a distortion of the planetary orbits. The reason our solar system behaves sanely is because of the large mass of the sun holding everything in position, combined with fairly large separation of the planets.
Not really. Smaller systems behave just as "sanely," such as the systems of moons around Jupiter and Saturn. It's just that our system has had time to settle into a stable configuration. In the early history of the Solar System, it's now believed, there were many planetary-mass objects formed, but many collided or were jettisoned from the planetary disk by the inward migration of the giant planets. Jupiter's gravity in particular is a dominant force in the arrangement of the Solar System, despite its separation from the others. Gravity has no range limit, after all.
If a new earth sized planet passed close enough to the earth, or mars, or venus, then they would be pulled into eccentric orbits, which may set things up for a collision in the future. I don't know if the inner part of the solar system could support a new planet, and remain stable.
As I said, such a change would take many megayears, if it happened at all. If Jupiter's gravity stole enough momentum from a planemo or rogue, it might settle into an inner-system orbit eventually, and while it gradually became less eccentric, that would have gradual effects on the orbits of the other inner planets. But those effects would most likely be subtle, and would be quite undetectable on the time scale of a human lifetime. We're not talking
When Worlds Collide here.
And there's no reason why a merely Earth-sized planemo or rogue would have enough gravitational influence to render the whole inner system "unstable," beyond that subtle effect on the status quo as it shifts to a new equilibrium. It would probably take something on a Jovian scale to have a catastrophic effect.
As for the collision risk... the Solar System isn't a pool table. Or if it is, it's one where the "balls" are the size of bacteria. The odds of collision are negligible.