Is it a coincidence that an atom and our solar system are very similar?

Actually the solar system view of an atom is a gross simplification of how an atom works and looks, its easier for people to understand if each electron has a set orbit and position from the nucleus than if you gave them a probability cloud and told them that the electrons could be anywhere in that cloud.

And we do know that atoms are constructed of smaller particles, such as protons, neutrons, electrons and they themselves are made up of smaller particles called quarks which come in many different varieties (up, down, top, bottom, strange, charm) for example a proton is made of 2 up quarks and 1 down.

If you want more information you can use this as a starting point

http://en.wikipedia.org/wiki/Standard_Model

No coincidence, because the current model of an atom is nowhere similar to the solar system.

Electrons "orbit"(if this concept applies to an object that is a bit here and a bit there at the same time) everywhere around the nucleus, not only in a restricted plane like planets do.

Atoms are made of smaller particles: protons neutron and electrons, as you wrote yourself. Protons and neutrons are made of 3 quarks. We don't know what could make up quarks, but like electrons, we presently have no reason to believe they could be anything but elemental.

Well the orbit of an electron around an atoms is quite more different than the simple models learn in school.

The coincidence can be explained by the coincidence that gravity and the electromagnetic force both behave as (1/r^2) on over the squared of the distance.

Solar system are on a scale 10^(24) bigger planets are all different while atoms have different nucleus and same kind of electrons orbiting around. It would be impossible to have as many planets so close (in relative size) then the largest known atom.

Atoms are made of smaller particle called "Quarks".

I wouldn't say it is a "coincidence". Both the atom and the solar system are structured as a result of forces that act at a distance. In the atom electrical forces result in the negatively charged electron orbiting the positively charged nucleus while in the solar system gravity results in the planets orbiting the most massive object, the sun. So, the similar effect of the forces at work in the two types of system results in a similar structure. And atoms are made up of smaller particles (as you point out, protons, neutrols and electrons) which are also made of smaller "sub-atomic particles" such as quarks. Where it stops, nobody knows (yet).

Well yes and no. Physics calculations can both make it seem like a coincidence and not make it seem like a coincidence. For example, one could say it's not a coincidence considering the equations for electromagnetic force and gravitational force look exactly the same besides the constants and units it uses.

A way physics argues that it's a coincidence is that electrons don't really "orbit" the nucleus like we imagine, a more accurate representation would be an electron cloud. In fact, only the s sub shell even resembles a circular orbit. p d f sub shells look nothing like a planetary orbit.

in basic terms in an exceptionally superficial way. Atoms have stuff (electrons) orbiting around a nucleus made up of protons and neutrons. photograph voltaic structures have stuff (comets, planets, asteroids) orbiting around a solar. Gravity holds the entire subject at the same time yet they are completely diverse systems, gravity would not carry a photograph voltaic gadget at the same time interior an identical way that the different forces (stable and susceptible nuclear stress plus electromagnetism) carry an atom at the same time.

no, because in both cases the center (the nucleus/sun) attracts the orbiting object (the electron/planet) by it's own means of attraction, the solar system by gravity and the atom by magnetic attraction.

hope i cleared things up for you, ask me more if your still confused

we cant, but saying so is wishful thinking, It isn't a coincident. In nature the easiest shape to form is a sphere. That is why the sun is a sphere, because gravity is pulling it equally from all angles, its also similar with an electron.

No, it is not coincidence. Niel Bohr's model of the hydrogen atom was based on the solar system model (sun and 1 planet/electron).

http://www.faqs.org/docs/qp/chap04.html

how can we be sure our universe is not an atom part of a bigger world.