Would it theoretically be possible for a solar eclipse to occur within a few days or even a few hours after a total lunar eclipse?
The star, moon, and planet from which the event is being observed do not have to be within our solar system.
Would it theoretically be possible for a solar eclipse to occur within a few days or even a few hours after a total lunar eclipse?
The star, moon, and planet from which the event is being observed do not have to be within our solar system.
You need at least half a moon cycle between the two events if they involve the same moon; lunar eclipse can only occur during the full moon and a solar eclipse only during a new moon.
Unless of course your world has more than one moon.
Yes, theoretically possible, though unlikely.
Certainly not for our Earth-Moon-Sun system, but it's theoretically possible, though unlikely for a different system. For this to occur you need a moon with an orbital period of at least twice the time delay between the two celestial events (months of several hours or several days long). My intuition is that this is fine for a very small moon, which is also very easy to fully eclipse, but for a moon to be both fast enough and large enough for a full solar eclipse it would likely be orbiting within the Roche limit (assuming the planet is within a hibital distance from a large enough star).
You'd need to be more specific on the conditions "within a few days or even a few hours".
If 15days is sufficient enough for you, then it is a likely event unless one of the two eclipse's period is a multiple of the other (very unlikely).
As pointed out by Ratchet Freak in his/her answer, "you'd need at least half a moon cycle between the two events if they involve the same moon". Considering our moon cycle is 28 days, 15days between the two eclipses seems to be a pretty short interval.
It has happened on Earth on November 2012. The November 28, 2012 lunar eclipse was visible from around Est-Asia and Oceania. The November 13, 2012 solar eclipse was also visible around this part of the globe.
A few maths and Modulo operation could even calculate the next occurrence of such an event.