How often do planetary alignments occur?

The above figure shows the planets during the May 5, 2000 conjunction as viewed looking down on the solar system. Other kinds of planetary conjunctions happen at complicated intervals when more than two planets are involved.


Planet                Earth,planet,sun              Earth planet,sun,zodiac

Mercury                   117 days        x 25             8 years
Venus                     585 days        x 5              8 years
Mars                      780 days        x 7             15 years    
Asteroids                 468 days        x 7              9 years
Jupiter                   398 days        x 11            12 years
Saturn                    378 days        x 29            30 years
Uranus                    369 days        x 83            84 years
Neptune                   367 days        x 163          164 years

 

The second column gives approximately the synodic period of the planet as seen from the Earth. This means that, as seen from the Earth, the location of the planet in our sky relative to the Sun's direction will repeat itself after the indicated number of days. But, each time, the background stars along the Zodiac will be different. In the third column, the multiplier tells you after how many synodic cycles, the planet will be seen against the same constellation. Example, for Jupiter, its synodic period is 398 days, Then 398 x 11 = 4378 days or 11.99 years. This means that if you see Jupiter tonight in the constellation Scorpio ( a guess), then in 12 years you will again see Jupiter in Scorpio. For Venus, if you saw it at Greatest Eastern Elongation 5 months ago in the constellation Virgo then in 585 x 5/365 = 8 years you will again see it at Greatest Eastern Elongation towards Virgo.

The next most complicated conjunction involves two other planets as viewed from the Earth. To figure out when two of these planets will have their next conjunction, you have to use this formula:


      1                 1               1
    ------    =      --------   -   ---------
    Time                S1             S2

so that for the very pretty Jupiter-Saturn conjunctions you have to wait


      1                  1               1
    ------    =       -------    -   -------  =  0.00013 
      Time              378             398

or Time = 7692 days or 21 years.

 

For more complex groupings you need a digital planetarium!

"When was the last time the five planets plus Sun and Moon were as close as the May 5, 2000 conjunction"

The answer is 1962 -- when there was a solar eclipse at the same time!

               Minimum separation of 5 planets + Moon:

               Event            Date          Separation
               last       February 5, 1962       15.8°
               present    May 17, 2000           19.5°
               next       September 8, 2040       8.3°

               Minimum separation of 5 planets + Moon + Sun:

               Event            Date          Separation
               last       February 5, 1962       15.8°
               present    May 5, 2000            25.9°
               next       March 20, 2675         22.6°


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