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Are all planets in our Solar System in the same plane ? 

All planets in our Solar System, except for Pluto, orbit in approximately the same plane, with Pluto's orbit inclined by about 17 degrees relative to the others. Mercury and Venus can deviate by as much as 3 degrees from this plane. The planets formed from the accretion disc surrounding the Sun, and their orbits have stabilized over time despite initial chaotic conditions. The closest approach of Mercury and Venus to Earth occurs at least once a year, with Venus's closest approach happening every 584 days and Mercury's every 116 days.
PREREQUISITESAstronomers, astrophysics students, educators, and anyone interested in the dynamics of planetary orbits and the formation of the Solar System.

Less than once per year for Venus: Both Earth and Venus orbit in the same direction, so Venus always has to "catch up". The closest approach happens every 584 days (+- a few days). For Mercury it happens every 116 days on average.rootone said:These faster moving planets make their closest approach to Earth at least once every Earth year, at which point they are positioned between the Earth and Sun.