The giant outer planets overtake each other in these cycles of time – the average periods between their heliocentric conjunctions:
Jupiter-Saturn 20.0 years
Jupiter-Uranus 13.5
Jupiter-Neptune 12.8
Saturn-Uranus 44.1
Saturn-Neptune 36.4
Uranus-Neptune 171.6
The explanation of these timings in our web page on the so-called “Great Conjunctions” applies to the Jupiter-Saturn case but helps in understanding the others.
“Jupiter’s orbital period – the time it takes to circle the Sun – is 11.86 years, and Saturn’s is 29.46 years. So, after overtaking Saturn, Jupiter comes around to the same region of the sky about 12 years later; but Saturn has moved on, and Jupiter takes about another 8 years to overtake again. In other words, conjunctions follow each other at intervals of around 20 years. And each next conjunction happen about 2/3 of the way around the circle of the sky. These are only approximate, because the geometry differs. The planets may both be advancing, as seen from Earth, or one or both may be in their apparent retrograde loops. Sometimes the conjunctions are triple, because Jupiter overtakes, then appears to fall back in its retrograde loop, and overtakes again. So we should really say that 20 years is the approximate interval between conjunctions or conjunction groups. There are more conjunctions than 5 per century; including the members of triple conjunctions, there are about 6.2 per century.”
Similarly the timing of the Jupiter-Uranus cycle results from the nearer planet’s orbital period and the slow rate at which the farther planet has advanced along its orbit.
Here is a space view of the cycle of Jupiter-Uranus conjunctions, for comparison with the Jupiter-Saturn one. The alignment of 2010 Sep. 24 was only a degree and a half away from the vernal equinox direction, the zero point for mapping positions in the sky
In the Jupiter-Uranus case, the resulting geocentric conjunctions – as seen from Earth – are single in 1997, but triple in 1983 and 2010-2011.
Mea Culpa Department
This blog post is meant to atone for the previous one’s hasty mis-statement about the cycle of conjunctions.
The moral is that I should break out of my own cycle of alerting myself too late to astronomical events therefore trying to cram into three hours the thinking-work that should have been started three days earlier. Needed is a bell to ring and tell me that a bold-faced event in Astronomical Calendar 2024 is four days ahead
In other news of Sunday March 17
0:00 (Universal /time) Day and night equal, at latitude 40° north
4:11 First quarter Moon
11 Neptune at conjunction with the Sun; 30.897 AU from Earth; latitude -1.26°
15 Moon 4.2° N of M35 cluster; 95° from Sun in evening sky; magnitudes -10.3 and 5.3
17 Mercury at perihelion; 0.3075 AU from the Sun
And it’s St. Patrick’s Day. Wear green, and help Earth to wear green.
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Some long lost memory now recovered. I read once that Galileo actually saw Uranus and plotted it as a star back in 1609 -10 etc. But hey this S and T article refutes that. It was Neptune.
https://skyandtelescope.org/astronomy-resources/stargazing-with-galileo/#SnippetTab
Hi Guy, could you please add Jupiter – Mars conjunctions to the above list and perhaps elucidate as to why it is so rare to have one when both are close to opposition. Last time for that was Feb -Mar 1980. I am still waiting. LOL. I use degrees advanced along ecliptic per year for Jup -Sat. So Jup is 30 and Sat is 12 so an 18 degree difference. 360 degrees for the ecliptic divided by 18 gives the 20 year repeat for the J- S conjunctions. But this method doesn’t work for Mars- Jup. Thanks, Glenn
Hi, Glenn. I omitted Mars heliocentric conjunctions because they are so numerous. I think of adding a fuller page to the “astronomical miscellany”, when time allows.
It turns out that because I love Mars-Jupiter conjunctions when they are both near opposition, I prepared some graphics to show the recent history of those events, all in the Leo – Virgo direction:
http://www.starvergnuegen.com/plan_charts/plan_align_index.html
I managed to get a picture of the last Jupiter – Uranus conjunction, on September 11, 2010
http://www.starvergnuegen.com/astropix/old/2010_jup_uranus.jpg
they’re not in conjunction yet but close enough for a group picture
http://www.starvergnuegen.com/astropix/2024/2024_03_11_planets_d.html
Thanks for the correction. You have students who catch your occasional errors!