A
aphh
Guest
Thanks for your thoughts, you are right in that planets and their orbits resonate at certain frequency, because the orbits are Keplerian, which means that the square of the orbital period is directly proportional to the cube of the orbit's semi-major axis.
If you plot the planets and their mean distance from the sun and the orbital period, you'll get a nice even slope. This suggests that the planets must align at some point, but because the orbits are more elliptical than circular, calculus and integrals are needed to precisely solve this. Integrals take into equation all of the orbital parameters.
On another note, planet alignment is equivalent to having two spacecrafts rendez-vous in space, only there is no propulsion to throw into equation when dealing with planets and celestial mechanics. For example, when ATV passed ISS below on a lower orbit, they aligned momentarily so they also had a synodic period (if the orbits were stable for long enough, that is).
Edit: accurate planetary alignment can only occur, if the resonance happens at the same angular position than what was considered an alignment previously. Eccentricity caused by elliptical orbits makes the objects relative velocity vary depending on how close or far away from perigee they are, even if they still travel the same total distance during orbital period.
This is why Sun is not constantly in the south at noon, but sometimes slightly before noon and sometimes slightly after noon depending on our current location on the ecliptica. The deviation is +- a few minutes during a year.
If you plot the planets and their mean distance from the sun and the orbital period, you'll get a nice even slope. This suggests that the planets must align at some point, but because the orbits are more elliptical than circular, calculus and integrals are needed to precisely solve this. Integrals take into equation all of the orbital parameters.
On another note, planet alignment is equivalent to having two spacecrafts rendez-vous in space, only there is no propulsion to throw into equation when dealing with planets and celestial mechanics. For example, when ATV passed ISS below on a lower orbit, they aligned momentarily so they also had a synodic period (if the orbits were stable for long enough, that is).
Edit: accurate planetary alignment can only occur, if the resonance happens at the same angular position than what was considered an alignment previously. Eccentricity caused by elliptical orbits makes the objects relative velocity vary depending on how close or far away from perigee they are, even if they still travel the same total distance during orbital period.
This is why Sun is not constantly in the south at noon, but sometimes slightly before noon and sometimes slightly after noon depending on our current location on the ecliptica. The deviation is +- a few minutes during a year.