A resonance may happen when there is a simple numerical relationship between two periods leads to repeated configurations. Consider the case of an asteroid and Jupiter orbiting the Sun. For simplicity, we will be take Jupiter's orbit to be circular and assume that all objects orbit in the same plane.An asteroid at the 2:1 Jovian resonance will have orbital period of six years,which is half Jupiter' s period of 12 years. To see how the resonance can be stable or unstable,consider two possible initial configurations with the asteroid and Jupiter aligned with the Sun on the same side of their orbits (conjunction). The asteroid's orbit will be considerably affected by Jupiter if conjunctions occur when the asteroid is at its furthermost point from the Sun (aphelion) is where the two orbits are closest.
In the stable case,conjunctions occur at the asteroid's closest point to the Sun (perihelion}. The asteroid reaches the danger point of aphelion after three and nine years,but in each case Jupiter is a different point in its orbit. Every 12 years, the initial configuration repeats itself and so the asteroid always avoids conjunctions at aphelion and is in a stable resonant orbit. In the unstable case, conjunctions always occur at the asteroid's aphelion, leading to a repeated, unstable configuration that cannot continue .
THE EXAMPLE IS OF TIDES,AND PROBABLY EARTHQUAKES,
THE ENTIRE SOLAR SYSTEM IS LITTLE UNSTABLE AS SOME CELLESTIAL BODIES HAVE VARYING MOTIONS
MY IDEA OF STABILITY--
A 100% SOLAR SYSTEM IS THE ONE WHICH CAN HAVE STABLE EFFECTS.
LIKE THERE WILL BE PERIODICITY. THE ORBITS OF THE CELESTIAL OBJECTS WILL BE PERIODIC.
IT IS SIMILAR TO ORBITS OF PLANETS. BUT ASTEROIDS AND COMETS ACT AS OPPOSITION.
THEY HAVE DIFFERENT PERIODICITY..
SO OUR PLANETS ARE STABLE. BUT IF WE TO ADD SOME PLANETS IN THE SAME ORBIT
THIS WILL CREATE INSTABILITY AND TO OBTAIN EQUILIBRIUM ORBITS WILL CHANGE
ALSO I AM WORKING ON THE ORBITS OF PLANETS
PLUTO AND NEPTUNE HAVE HIGH ECCENTRIC ORBITS
PLUTO HAS 17 DEGREE ECCENTRICITY.
THIS CAN BE A RESULT OF SOME MORE MEMBERS IN HIS ORBIT. THEY ARE YET TO BE DISCOVERED
FINAL CONCLUSION
OUR UNIVERSE IS 99% STABLE. 1% STABILITY IS REQUIRED AND IT MIGHT NOT BE ACHIEVED AS I GUESS THIS WILL BE ACHIEVED WHEN THERE WILL BE INTERACTIONS AMONG GALAXIES,SOLAR SYSTEMS,PLANETS.
BUT THEY ARE AWAY IN LIGHT YEARS.FAR NEIGHBOURS
HOPE YOU LIKE THE IDEA. A LITTLE LONG BUT PRACTICAL
I WILL UPDATE LATER WITH SOME MORE DETAILS.
AKSHAY