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Did you have all the resources needed?
Remember - the orbit isn't always necessarily stable, sometimes it changes, you should check if it's truly closer.
Also remember to check if the module is fully built, and you have enough resources to send it, because you can only send probes if you have enough Space resources.
https://www.youtube.com/watch?v=lQ816RrTEeQ&feature=youtu.be
I really don't know exactly what they're modeling here, though.
You can see this modeled in the Mars/Earth interactions, the Earth is faster than Mars, so if Mars is "in front" of Earth, your shipping time is actually shorter but once Earth is pass Mars, your cargo from Earth has to decelerate massively just to make Mars orbit from the momentum that the Earth gave it..
As an example, I'm launching from Ceres
https://steamcommunity.com/sharedfiles/filedetails/?id=2871048310
The asteroid in front, it's 351 days.
https://steamcommunity.com/sharedfiles/filedetails/?id=2871048321
The one behind, 315 days.
These are relatively close so the difference is only a month or so. From Mars to the belt or Earth to the belt, you saw your timings.
you need to understand that the probe needs a trajectory where it not only accelerates toward it but spends just as much time slowing down so that when it gets there it isn't moving at KM/s.
objects closer to the sun have higher momentum and are moving faster, so earth may have more "free" boost than mars does.
there are so many tiny details that change how you would want to transfer from where or when.
Also, two people above implied you need the resources to send it, not boost, but then above has boost in selected in both examples, so seems like forum can't even agree on the rules.(that said, 300 days is also strangely slow considering he probalby has a bunch of tech to boost the speed of probes, so he might actually be sending from earth)
I know that you're trying to "intuit" physics in space. It does not work like that, you have to calculate it out, you cannot eyeball what your brain tells you because it is a totally different environment that humans do not experience, so you can't use "experience" to judge it. I had the same problem starting out and have all the exam paper fails to prove it until I got out of that habit. You have to train yourself not to "intuit" physics, energy works differently at the astral and subatomic level. Trying to do that will just make you fail your exams.