Not mathematically certain. If the timeline slip is a sequence like [1-1/2^k]_{k=1...} = {1/2 week, 3/4 weeks, 7/8 weeks, 15/16 weeks...}, then it's possible the project timeline could diverge forever. (This is just a restatement of Zeno's paradox).
I thought Zeno's paradox was caused by lack of understanding of infinitesimal calculus by Ancient Greeks? That is, in situations where a series converges despite an having infinite number of elements. Divergent series like yours shouldn't constitute such a paradox, since they both have an infinite number of elements AND diverge.
A crate of beer is standing in the end of a magical room; each step towards the crate is half as short as the preceding one.
A mathematician and an engineer enter the room. The engineer starts walking towards the chest, while the mathematician stands still.
M: Why are you doing this? You can't reach it in finite time anyway!
E: But in a few hundred steps I'll be close enough for all practical purposes!
An infinite number of mathematicians walk into a bar. The first one orders a pint. The second one orders half a pint. When the third orders a quarter of a pint, the bartender rolls his eyes, places two beers on the bar, and says "you all need to learn your limits!"
They got lucky to have a bartender who knows his customer's limits.
-----------------
An infinite number of mathematicians walk into a bar
The first mathematician orders a beer
The second orders half a beer
"I don't serve half-beers" the bartender replies
"Excuse me?" Asks mathematician #2
"What kind of bar serves half-beers?" The bartender remarks. "That's ridiculous."
"Oh c'mon" says mathematician #1 "do you know how hard it is to collect an infinite number of us? Just play along"
"There are very strict laws on how I can serve drinks. I couldn't serve you half a beer even if I wanted to."
"But that's not a problem" mathematician #3 chimes in "at the end of the joke you serve us a whole number of beers. You see, when you take the sum of a continuously halving function-"
"I know how limits work" interjects the bartender "Oh, alright then. I didn't want to assume a bartender would be familiar with such advanced mathematics"
"Are you kidding me?" The bartender replies, "you learn limits in like, 9th grade! What kind of mathematician thinks limits are advanced mathematics?"
"HE'S ON TO US" mathematician #1 screeches
Simultaneously, every mathematician opens their mouth and out pours a cloud of multicolored mosquitoes. Each mathematician is bellowing insects of a different shade. The mosquitoes form into a singular, polychromatic swarm. "FOOLS" it booms in unison, "I WILL INFECT EVERY BEING ON THIS PATHETIC PLANET WITH MALARIA"
The bartender stands fearless against the technicolor hoard. "But wait" he interrupts, thinking fast, "if you do that, politicians will use the catastrophe as an excuse to implement free healthcare. Think of how much that will hurt the taxpayers!"
The mosquitoes fall silent for a brief moment. "My God, you're right. We didn't think about the economy! Very well, we will not attack this dimension. FOR THE TAXPAYERS!" and with that, they vanish.
A nearby barfly stumbles over to the bartender. "How did you know that that would work?"
"It's simple really" the bartender says. "I saw that the vectors formed a gradient, and therefore must be conservative."
Question - they have a ton of shielding for solar radiation - can they not locate this thing in a shadow area somewhere?
(A technical exception is a planetary solar L2 Lagrange point [0], *if* it would occur close enough to a planet to be totally eclipsed. But that doesn't happen (AFAIK) -- they're generally far enough away that although the planet is always in front of the sun, the planet's disk is much smaller than the solar disk. Like a partial eclipse).
With cryogenic cooling, you have an even more difficult challenge: the light of a planet's infrared radiation emission is something you also have to shield. That's a major reason JWST (and similar cryogenic telescopes) go to solar L2: its sunshield doesn't only block out the sun -- it simultaneously blocks out the sun and the Earth. That's the unique advantage of the solar L2 point: the sun and Earth are always in the same direction.
https://news.ycombinator.com/item?id=10462349 ("NASA's last original Voyager engineer retires at 80")
Not if the timeline slips such that at each slip the delta between the current time and the launch time decreases by 50%.
This is the answer to Zeno's paradox. A sports reporter gives an update every time Hercules catches up to where the tortoise was the last time he gave an update. All that happens is the sports reporter eventually needs to talk faster and faster and faster, and eventually try to give infinite updates right as Hercules passes the tortoise. Then the reporter's vocal chords explode, but otherwise the race proceeds as you would expect. (That is, just because a description of an event is infinitely long, does not mean the event itself is infinitely long in any sense.)
-Contact
Failures happen when delivery dates are more important than quality.
Maybe the engineer was just telling a story with a bit of flair but I believed him.
In 1996, it was estimated for 2007, fast forwarding a bit to 2018, it slipped one year from an estimated launch in 2020 to 2021, in 2020 it slipped from March 2021 to July, by January 2021 it slipped to October 31st, and it's been known since June, 14 weeks ago, that it wasn't likely to meet that date.
At this rate, I estimate the current date will intercept the target date in early 2022.