Summer 2020
"You can guess the Trojan satellites correctly. The people of Luzhi are really smart!" Bashir made a face at Rosanna and said.
"I replied to him with 4 numbers, and he replied to me with two sets of 6 numbers. It was considered a tie. It seems that I can continue chatting with him."
Rosanna said, leaving a message for "log(n)-Fermat's Test Quartet" in the dialogue column:
"The answer is correct! Awesome! I impress you!"
no reply.
Katz and Loew stared at the compliments from their "enemy" on the screen, lost in thought. Katz broke the silence and asked:
"How do you think you should respond? Should you continue the guessing game, or should you lead the person to the point?"
"You can't be too direct, but you have to expose some flaws to give the other party a chance to catch you." Loew replied.
"Let them simmer for a few days and then I'll throw out the bait," Katz said.
Gubo melon is a specialty of the Jade Khanate, and midsummer is the season when it is on the market. There are many varieties of melons, mainly divided into two categories: green pulp and yellow-reddish flesh.
Bashir knew that Roxana liked smaller yellow melons. Rosanna took the plate with the melon pieces, looked away from the screen, and said while eating:
"It's very unusual for someone in the secret service to be anonymous on the dark web. He must have a purpose, but why is there no news about him again?"
"I think it is impossible for people like Katz to sell information to us even if they are wronged at work and have no future," Bashir said.
"If he sells valuable information, we will buy it. If this is a scam, we need to understand more deeply." Rosanna picked up another piece of melon and continued, "Bashir, this melon is so sweet, and it is still yellow." The red flesh is delicious.”
"Here it comes! The reply is here." Bashir put his face toward the screen and called Roxana.
A line of words is displayed on the screen:
"Awesome? What's the use of playing a guessing game no matter how good you are? You can't exchange it for money anyway."
Bashir and Roxana looked at each other happily, and Roxana said: "He wants money? Is the progress too fast?"
After hearing the report, Hamid said to Bashir and Roxana almost without hesitation:
"This reply simplifies the problem. Either he wants to sell information, or it is a trap. You design a bait to let him taste the sweetness."
At night, Roxanne replied to "log(n)-Fermat's test quartet" as planned:
"There are also prize puzzles! If you can predict an undiscovered solar system satellite with evidence, my friend is willing to pay one Bitcoin as a reward."
Katz once again found Professor Guan and asked the professor for help, saying:
"My expertise is in mathematics and computers. Predicting satellites is too difficult for me."
Professor Guan smiled and patiently explained to Katz.
On September 18, 1783, the great mathematician Euler passed away. Before his death, he gave the calculation method for the orbit of Uranus, which had just been discovered.
In 1821, the orbital table of Uranus was published, but actual observations were different from the orbital table.
Some astronomers have suggested that there may be an undiscovered giant planet in the outer orbit of Uranus.
Not long after, Neptune was discovered. For this reason, Neptune is nicknamed the "calculated planet."
So far, no one has used calculations to predict undiscovered satellites. Professor Guin said to Ketz:
"The incredible band-like distribution pattern of the solar system satellites I told you last time makes people believe that the integrated solar system has some kind of magical symmetry."
"Are you saying that the predicted satellites should be found from the distribution patterns of satellites in the solar system?" Ketz seemed to see hope.
Professor Gu An nodded in agreement and continued to explain.
There are eight planets in the solar system. Except for Mercury and Venus, the other six planets have their own satellites, forming six different gravitational fields.
However, if we ignore the particularity of the planet's gravitational field and compare the 269 discovered satellites together, we find that the radius and semi-major axis of the satellites, two parameters that should be unrelated, show surprising regularity.
Satellites with ln(n) greater than 1 have larger orbital inclinations and eccentricities.
Callisto's ln(n) is equal to 1, which also becomes a dividing line, that is, it is the farthest satellite from its parent star among the ten satellites.
As mentioned earlier, the top ten satellites with radii are all between -1 and 1. Among them, the cumulative sum of the semi-major axes of all satellites between -1 and 0 is equal to 5,662,045 kilometers, while the semi-major axes of all satellites between 0 and 1 are The cumulative sum of the major axis is equal to 5675994 kilometers, and the ratio between the two is 1.002, which is very close and symmetrical.
In addition to the coincidence of the semi-major axes mentioned above, the sum of the radii is also a surprising coincidence.
The cumulative sum of the radii of all satellites between -1 and 0 is equal to 10506 kilometers. In addition, the cumulative sum of the radii of all other satellites with ln(n) values less than or equal to 1 is 10496 kilometers. The ratio between the two is 1.001.
"Are you a perfectionist? If so, 10,496 kilometers is 10 kilometers less than 10,506 kilometers."
"You are saying that if another satellite with a radius of about 10 kilometers can be discovered, the satellites in the entire solar system will have more perfect symmetry."
Katz completely understood it, but he also had new questions:
"Then what planet should this undiscovered satellite with a radius of 10 kilometers be predicted to be a satellite of?"
The earliest satellite discovered by humans was of course the moon. Because the earth is the third planet from the sun, the moon's code name is 301.
After Galileo invented the astronomical telescope, more satellites were discovered. With the advancement of astronomical observation technology, 269 satellites have been discovered so far.
Since the surroundings of the Earth and Mars are extremely easy to observe, it can be ruled out that there are still undiscovered satellites with larger radii.
The giant planet probes launched in recent years have all passed by Jupiter without exception, using the gravitational slingshot effect to accelerate their speed.
The 20-year long service life of the Cassini and Saturn detectors has enabled the discovery of almost all satellites of Jupiter and Saturn with ln(n) less than 1.
Only 14 Neptune satellites have been discovered so far. Except for the large-radius Triton, the other smaller satellites also have a radius of more than 10 kilometers.
Uranus currently has 27 satellites discovered, and the average radius of the small satellites among them is about 10 kilometers. So a satellite with a radius of 10 kilometers is most likely to come from Uranus.
In 1986, Rovers 2 flew to Uranus and took a large number of photos.
In the following years, astronomers used these photos to find the 10 inner satellites from Titanium 6 to Titanium 15.
In 2003, after sorting and analyzing these photos, an inner satellite, 25, was discovered in a relatively close orbit of Uranus. It was nicknamed the "satellite in the shadow of the photo."
If no more probes are launched past Uranus in the next few years, technical means can be used again to analyze previous photos.
It is very possible to find a new satellite with a smaller radius in the "shadows" of Tianwei 25's approaching orbit. The radius of Tianwei 25 is about 15 kilometers.
"So, it is very possible to find this predicted satellite near Tianwei 25." Katz said.
Professor Gu An gave the main parameters of Tianwei 25 to Kezi and said:
"Uranus has 27 discovered satellites. If this predicted satellite is newly discovered, its number will be Uranus 28. This is just a game. Don't take it too seriously. After all, our understanding of the solar system is still unclear. Far from enough."
"I know, someone is forcing me to do this! I will send them the predicted satellite data right now."
The message sent by "log(n)-Fermat's test quartet" to "O(√n ln(n))-Riemann's triad" is:
Prophecy of undiscovered satellites:
Satellite name: Tianwei 28,
Radius: about 10 kilometers,
Semi-major axis: about 70,000 to 100,000 kilometers,
Orbital period: about 0.56 to 0.96 days,
Orbital inclination: less than 0.5 degrees,
Albedo: less than 0.07.
A few days later, Ketz successfully obtained a Bitcoin worth more than $40,000.
The game continues happily, and the transaction amounts become larger and larger. In the blink of an eye, several months passed, and finally one day, Kezi received this message:
"Want to play something big? For example, provide us with the parameter table you made before?"
After much hesitation, haggling, and back and forth, the deal was finally reached.
The Yuhan people obtained the parameter list of the "Bronze Wall" missile defense system of the United States.
