The last I looked, calculating orbital paths in a four-body problem required continued approximations, in which each interim solution is "thrown away" until desired accuracy is achieved. You don't really have a point.
But I did, which is not that Ptolemy et al. were right. They weren't. The point is that they at least offered theories that fit the data.
You're so far out in the weeds that you don't realize you're standing in the middle of Kansas.
Epicycles have
no predictive value because they don't model the physics of gravitational attraction. Not even a little bit. They're an attempt to reproduce the visual appearance of retrograde motion by adding small circles riding bigger circles. With an infinite number of nested circles you could probaby recreate any arbitrary curve, a bit like assembling any waveform sample from a vast number of sine waves, but the mechanism doesn't have an
predictive value about how the waveform changes, or what caused it in the first place.
When we're running an orbital program, we're calculating the
forces between all the masses, and from their initial positions and trajectories we're integrating with a small step size (often using a Runge-Kutta method) to solve for the resulting paths through the gravitational fields. That's how we can get satellites to within meters of their planned destinations in interplanetary missions. Epicycles can't do this, because there's no method to link an epicycle to the changing forces, nor any connection between forces, masses, or accelerations. They're just arbitrary geometric curve tracers.
If I've got an asteroid moving in a four-body problem and increase it's velocity by 4 meters per second, how do you calculate the required change in the epicycles? There are thousands of them, so which should change, and by how much? There's no answer to that problem. All you could do is use the conventional methods of orbital dynamics to find an extremely close approximation for the new path, then search an almost infinite epicycle-space to find one that seemed to match. But that solution would be useless when there's another change, because epicycles aren't hooked to any physics.
Conservative economic theorists refuse to even attempt that much! They will blindly repeat so-called theories, such as the notion that national debt will cause hyperinflation, despite the known examples contradicting it, in the face of better explanations (hyperinflation is almost always the result of defeat in war, undermining the currency by discrediting the government backing it.)
Gee, wouldn't that be a case of people losing trust in their currency because nobody will accept it at the old valuations? That's not just the result of war, it can also be the result of schemes to devalue the currency, such as Germany used after WW-I so their war reparations wouldn't actually be worth much. It almost worked as they intended.
Or insisting that "people" have found over thousands of years that gold will always function as these idolators insist. This, in spite of wellknown facts about feudal manoral economies in Europe! A suit of heavy armor and a strong horse would have been worth much gold, perhaps the gold accumulated by the sale of many material goods when there was a functional society.
I can't even make sense of that. Knight on a horse...
The reason medieval economies often didn't work is that most people were locked out of the real economy, forbidden by their station from real property ownership by rulers who wouldn't recognize those rights. So a peasant could have personal possessions but he often couldn't own land or run a legal business without some noble granting him permission, and that permission was expensive and rare. It was like communism, but with a bit more versatility for the peasants who could at least
occassionally break into the ownership class. The problem was the view that the land and overthing on it was owned collectively, through the sovereign, who was the embodiment of the state. Even for the nobility, ownership was tentatitve and conditional upon continued loyalty to the sovereign, who had the power to shuffle the noble's ownership around like playing musical chairs. It's just like having the Central Committee putting you in charge of a factory or a city. It's all tentative so you don't dare piss them off.
Um, you realize that when you turn assets into cash, the assets aren't literally "liquidated", don't you?
Much more clearly than you do, obviously. Since the assets in a functioning economy are still present, the question has always been how everything needed for social life is still there, but the system isn't working. If "opinion" were all it was about, the psychotic insistence that gold really is the fundamental form of wealth, true and eternal, is possibly the prime deranged opinion causing crises. I suppose you are promoting damage to the economy in hopes of personally profiting at the expense of the rest of humanity. If you wanted to do good, you would vigorously remind people that the wealth of nations is not money, but economic production. But that suspect ideology comes from that johnny-come-lately Adam Smith, so I suspose you will reject it.
And how do we measure the wealth? With money, using market pricing for the assets, where the market price is set by buyers and sellers. The reason we do so is because all other valueations are fairy tales. The King (and the communist party) always tells the peasants that they are rich and thriving, even as they stand knee-deep in mud. The person who finds an antique in the attic always thinks it's worth a million bucks. All estimates of values are just dreams,
until two people come together and make a trade in which those dreams become a transaction that causes a change in ownership. But that trade, in itself, was just an incident, possibly the action of a pair of idiots, so we estimate the value of something based on our belief in the likelihood of finding a buyer or seller in a certain price range. The reason we use "money" to measure these values is that it's an extremely useful abstraction, letting us think of a number instead of a complicated set of features and traits that each object possesses. We do this not just in out thinking, but in the physical world, by simplifying what would otherwise be an extremely long and complicated chain of bartering.
For example, you have a 1968 Barracuda and would prefer to have a 1937 Ford. To arrange an acceptable barter, you might have to spend five or ten years carefully building a chain of a hundred owners and cars who are willing to swap A for B, B for C, and C for D, going through millions of people to find owners who want to trade, and make a particular trade for a car whose owner also wants to trade. We simplify this by letting cars be traded for money, and then to simplify it even further, car dealers arise who are always willing to trade, and trade just about anything. As a result, when you want a different car, you don't have to go knocking door to door asking people if they want to swap with you.
In the communist system everybody has antique cars for an entirely different reason.
Another note on "opinion," which is clearly smoke implying some idiotic tripe about consumer sovereignty. In a highly industrialized economy, many or most goods are purchased by firms as part of the production process. The notion that a collective entity like a firm even has an "opinion" needs a great deal of clarification.
Most "opinion" is derived from vague impressions of an ephemeral now, and changes in opinion general follow from changes in the environment. Turning it around backwards is childish.
We don't turn it around backwards. Changing the environment of "opinion", and thus the value of particular objects, is an entire industry. Perhaps you noticed the little breaks in Star Trek episodes where they talk about refreshing beverages, used car lots, and feminine hygiene products. Under communism, those are work songs about the glory of laboring for the state because nobody has anything to sell, and nobody would want to buy the collectively built crap anyway.