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In every lunar revolution around Earth, the Moon is at a point between the Earth and the Sun. Then why can't we see a solar eclipse once every lunar month?

Is it because of a tilted orbit of the Moon around the Earth? Is the orbit of the Moon some kind of a sphere?

Peter Mortensen
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Akshat
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The Moon orbits in a plane that is inclined with respect to the plane in which the Earth orbits. The intersection between these two planes is a straight line. For an eclipse to occur, this straight line needs to be roughly aligned with the line that goes between the Earth and the Sun.

From this blog post

enter image description here

As the Earth goes around the Sun, the plane in which the Moon's orbit keeps the same inclination compared to the stars (well actually, not quite, because of the precession of the orbial plane, but this gives you the general idea), so it turns with respect to the Earth-Sun system. This is why eclipses occur (roughly) every six months, and not every single month.

The frequency with which you can actually see an eclipse from a given location will be even less than once every six months. This is because to see a lunar eclipse, you need to be on the night side of the Earth while the eclipse is happening. And to see a solar eclipse, you need to be under the track of the Moon's shadow. This is a band a only few hundred kilometers wide. Here are the tracks of a few past eclipses.

enter image description here

usernumber
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  • You said that "Moon orbits keeps the same inclination compared to the stars, so it turns with respect to the Earth-Sun system." I didn't understand this. – Akshat Apr 03 '20 at 15:47
  • @Akshat The plane of the Moon's orbit is tilted. So you can find a star towards which the plane is (roughly) pointing. As Earth goes around the Sun, the plane of the Moon's orbit stays pointed towards the same star. – usernumber Apr 03 '20 at 15:53
  • Even then you can see a solar eclipse because relative to earth the moon is in the same type of tilted orbit – Akshat Apr 03 '20 at 17:31
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    One might add that the name "ecliptic" is explained by that too - ecliptic is where the eclipses occur – მამუკა ჯიბლაძე Apr 04 '20 at 14:20
  • You say they occur roughly every 6 months, but just in those ten eclipses they've occured in Feb, Apr, Jun, Aug, Oct, Dec - every second month. How can that be when the two orbital planes should only intersect on a line, which should indeed be every 6 months? – curiousdannii Apr 05 '20 at 02:40
  • @curiousdannii Those ten eclipses are over the course of 6 years. I don't understand your point. – usernumber Apr 05 '20 at 13:19
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    I was expecting that the moon's orbital plane would be relatively stable, in which case ecclipses could only happen when its orbital plane is aligned with the earth's plane as well as when the moon is directly between the sun and earth, ie, twice a year. But the orbit isn't that stable and precesses quite rapidly. Hence why the eclipses aren't in just two months of the year. So it's like the moon's orbit is a spinning plate, and eclipses can only occur when both the plate has the right inclination and the moon is in the right part of its orbit. – curiousdannii Apr 05 '20 at 13:28
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    So in other words, you could witness 2 eclipses per year, but it's going to cost you a lot of money in plane tickets to get to the right part of the world, and potentially chartering ships for the ones that don't cross much land... – Darrel Hoffman Apr 05 '20 at 15:29
  • @DarrelHoffman that's the gist of it :) – usernumber Apr 05 '20 at 15:46
  • As curiousdannii says, this bit isn't quite right: "the plane in which the Moon's orbit keeps the same inclination compared to the stars". The plane of the lunar orbit undergoes rather rapid precession (aka nodal precession) with a period of only 18.6 years. Lunar theory is complicated! ;) – PM 2Ring Apr 06 '20 at 00:00
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Your question could also be phrased the other way -- why do we not observe a lunar eclipse on every full moon? It's the same reason as we do not observe a solar eclipse every new moon.

As you correctly note, the orbit of the Moon is an ellipse that is tilted with respect to the orbital plane of the Earth around the sun. A lot of people have difficulty visualizing why it is that eclipses are rare, and I suspect it is because they have never seen an accurate diagram. The diagram shown in usernumber's answer is typical in that it is massively out of scale. Here is a rough drawing I made showing a lunar eclipse:

enter image description here

(You can click on the image to zoom in.)

Here we have the Earth on the left, the Sun off screen to the very, very, very far left, and several copies of the Moon to the right. The relative size and separation of the Earth and Moon is roughly to scale, and the two white lines above and below the Earth are drawn such that they are at the correct angle to hit the top and bottom of the Sun.

Therefore the cone to the right of the Earth is the shadow that the Earth casts; if you are inside this region, the Earth is shadowing you from the Sun.

The three copies of the Moon show where the Moon is when it is at the highest point in its tilted orbit, and where it is at the lowest point, and in the middle, we have a lunar eclipse. Clearly there is only a small window of opportunity for everything to line up just perfectly to make a lunar eclipse. And as you can see, the cone is larger than the Moon, so when we have a lunar eclipse it frequently eclipses the entire Moon.

Now you do the same but swap the positions of the Earth and Moon(s), and draw accurate cones that show the shadow of the Moon falling on, or past, the Earth, and you will quickly see why it is that (1) we have solar eclipses rarely, and (2) why the total eclipse shadow only covers a small region of the Earth. Actually draw an accurate diagram yourself. If you get in that habit, you will find that you can work out for yourself the answers to many physics and astronomy questions.

Eric Lippert
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  • I agree with you explanation but the moon will again reach the same spot after a month and then we should again have an eclipse – Akshat Apr 05 '20 at 01:17
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    @Akshat No no no, you are coalescing two DIFFERENT time intervals and calling both of them a month (i.e., a lunar month). ֍ The period with which the Moon orbit crosses the ecliptic is different from what is usually understood as a lunar month, that is the interval between two full moons — when the 3 centers are in a plane perpendicular to the ecliptic. ֍ To have an eclipse both conditions have to be satisfied: ① Moon on the ecliptic ② alignment of three centres (of course, the eclipse is going to happen when the two constraints are met within a certain level of approximation). – gboffi Apr 05 '20 at 12:39
  • So is solar eclipse just a chance and is the orbit of moon changing its angle with Earth Sun plane. I feel that only if the angle changes there would be a chance of solar eclipse. – Akshat Apr 05 '20 at 17:06
  • @Akshat: Again, I strongly encourage you to draw accurate diagrams. The angle that the Moon's orbit makes with respect to the Earth's orbit does not change. Try drawing a diagram that shows the angle that the Moon's orbit makes with respect to the Earth on thirteen days -- the days in a year that have a new Moon -- and then see on how many of those days would the shadow of the Moon fall on the Earth. – Eric Lippert Apr 06 '20 at 14:45
  • You are right I am able understand it but there's a video https://youtu.be/Kt1dbwAJOZQ which says that moon's orbit wobbles around earth – Akshat Apr 07 '20 at 04:39
  • @Akshat: There is a great deal that is misleading about those diagrams, both in terms of the scale of objects and the relative timescales. Also it is important to have perspective in mind. From the perspective of someone on the surface of the Earth, the orbit of the moon "wobbles" over the course of a year. From the perspective of someone on the Moon, it is the Earth that wobbles, and from the perspective of someone on the Sun, neither wobble; rather, the Moon has an almost perfectly stable orbit that is out-of-plane with the ecliptic. – Eric Lippert Apr 08 '20 at 21:01
  • @Akshat: Again, I encourage you to draw some to-scale diagrams of the Earth and the Moon that show on various "new Moon" days throughout the year, what the true relative size of the Moon's shadow is, and where it falls in relation to the Earth. You will soon see that the majority of the time, the shadow passes above the North Pole or below the South Pole, and so, no eclipse. – Eric Lippert Apr 08 '20 at 21:03
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Not exactly. The plane of the orbit of the Moon around the Earth, and the plane of the orbit of the Earth around the Sun has an angle of 5${}^\circ$. Furthermore, both orbits are a little bit ellipsoid, and a year is not exactly 12 months.

This is why solar eclipse can't happen in every month, and calculating their exact time (and location on the Earth) is not easy.

peterh
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