2021-07-07

Chapter 76 Finding Traces

What affects the orbits of dwarf planets in the Kuiper Belt? The orbits of the planets are abnormal, and there must be a planet with sufficient mass that has a gravitational force on them.

Li Mo knows that he has captured the silhouette of the unknown planet. If he has the specific data of the orbits of the affected stars, he can make a mathematical calculation based on the theory of space quantization (orbit quantization) proposed by Boer. Model.

The specific orbital data of the stars in space is only available in the planetarium, with this idea in mind. Li Mo called Professor Wu and explained that he wanted to make a mathematical model of the rotation of the planets in the solar system. As a result, he was reprimanded. Professor Wu thought that Li Mo was “not doing his job properly” at this time, but he still provided an effective information, that is, the Yanda Astronomical Academy is doing a measurement project, and there may be data he needs there.

Li Mo picked up his mobile phone and dialed the number of Professor Tian of the Astronomy Academy, which he got from Professor Wu, and the call went through. “Hello, hello, Professor Tian, I’m Li Mo, a student of Professor Wu in the Department of Mathematics.” Li Mo blunt named himself because he knew that these professors were usually very busy.

“Students of old Wu, doesn’t that old man always look down on us who are doing actual testing, why would you let you contact me?” The opposite side seems to have a big gap with Professor Wu.

Li Mo hurriedly explained: “Contacting you is my personal intention. I plan to make a mathematical model of the rotation of the stars in the solar system. There is no measured data, so the teacher introduced you.”

“Mathematical model of the rotation of stars?” Professor Tian was a little surprised, “Just you?”

Li Mo said to the phone: “Yes, but I want to try it out, you may have heard My name.”

“Li Mo?” The opposite side of the phone pondered for a while, and finally remembered, “So it’s you, so, my office is on the 8th floor of the Astronomy Building, you can come directly , let’s meet and talk.”

Professor Tian seems to be very interested in the mathematical model of the rotation of stars, and the study aid system once said that fame is also a kind of power, which seems very reasonable. Li Mo hangs up.

The Astronomical Building is in Zone A, and the white exterior gleams in the sunlight. Looking at this majestic building, it is conceivable that Hua Guo attaches great importance to the emerging discipline of astronomy.

“Professor Tian, I’m Li Mo who was on the phone with you just now.” Pushing open the door of the office, Li Mo saw a “young” professor sitting at the desk.

“Li Mo, please take a seat.” Professor Tian asked him to take a seat, “Let me see what the baby in the mathematics department looks like.”

He looked at it carefully. After a while, he seemed a little disappointed, “It’s just like this, with one nose and two mouths, it’s hard for old man Wu to call me personally just now for you.”

“Last year, I thought Let the Department of Mathematics make a measurement error standard for our Department of Astronomy, and see how arrogant he is. This time he is shriveled.” Professor Tian showed a hearty smile.

Professor Li Mop nods, “Although the measurement error standard is not difficult, the amount of calculation is too large, and many students don’t like to do it.”

“Tian, you are so young.” The professor in front of him seems to be in his 20s, with strong features and delicate skin. Could it be that he is also a juvenile genius?

Professor Tian was hearing this, laughed heartily for Li Mo’s straightforwardness: “I can’t see it, I’m in my 40s this year, I’m a natural child.”

“Okay, let’s stop talking about this, and tell me what your mathematical model of star movement does?” Professor Tian said anxiously.

Li Mo looked around all around. All around was filled with various planet models. Even the background of the office computer was Universe Starry Sky. He thought for a moment and said, “I want to make a mathematical model that can prepare to describe the orbits of the major planets in the solar system.”

“Describe the orbits accurately?” Professor Tian couldn’t believe it, “Do you know that although At present, the orbits of the major planets have been accurately recorded, but they are not determined by mathematical models.”

“There are also many mathematicians who have made various mathematical models, but they are not related to the actual planets. There are big errors in the orbits.” He stared at the seemingly “bragging” student in front of him with bright eyes, “There are too many mysteries in the universe, and the planets will be affected by various The interference of such factors.”

“Are you sure you can make such a mathematical model?” Although there are many unknown factors, they can be avoided in advance through mathematical fuzzy equations.”

“What I am missing now is a large amount of astronomical observation data.”

Looking at the man in front of me The young student solemnly vowed, Professor Tian thought to himself, is he really old?

“Okay, a project just completed by our Department of Astronomy has the most complete astronomical observation data in the world.” Professor Tian stood up and picked up the phone, “This will let me A graduate student who has done a project will cooperate with you.”

After a phone call, Professor Tian and Li Mo exchanged a few words about the current exploration of the universe, and he found that the youngster in front of him actually possessed profound knowledge of astronomy. It made him full of confidence in this cross-department “cooperation”.

The two were talking when four students, three males and one female, pushed open the door of the office. “teacher, are you looking for us?” the one who took the lead stepped forward and greeted.

“These four are my best students and the team members of the last astronomy project.” Professor Tian gave a brief introduction to both parties, “This is Fang Shan, Zhou Kangnian, Wang Xin, Li Tiantian .”

“This is Li Mo from the Department of Mathematics.”

“This time we will cooperate with the Department of Mathematics to make a mathematical model to describe the exact rotation of the planets. Track.” Professor Tian set the task directly, “You have to assist Li Mo to complete this project through the data from the last astronomical project.”

“Li Mo, this is our Prepared position data for massive objects in the solar system within 5 years of the last collection.”

“This is the orbital data of solar system comets within 5 years.”

“This is Jupiter’s moons Data.”

“This is Saturn’s satellite data.”

The Astronomical Department has collected so many detailed celestial body operation data. Li Mo returned to Xiaoshan Laboratory and carefully checked U.S. plate. Faced with this mountain of data, he took out the energy coffee from the “backpack” and opened his liver!

First step, using python to write a small program to arrange the data regularly, and input the data of the unknown planet into the calculation formula.

Second Step, write out the mathematical model

V1/r=-P/r (P is a constant related to the system)

Under the action, in which When the orbit of an object in orbit satisfies the following formula, or more precisely when its orbit is in the vicinity specified by the following formula, the stability of its orbit has a small and sharp peak:

Tn=n3T0 , (n=1, 2, 3…), (2)

where a0 and T0 are constants related to the system, and an and Tn are the semimajor radius and period of the nth orbit.

When V1/r is a Coulomb field generated by a hydrogen-like nucleus, the above formula is equivalent to Bohr’s first and second hypotheses, and can be deduced from each other, so there is no need to verify it here.

a0 = k1M 1 , ⑶

T0 = k2M 2 , ⑷

where M is the mass of the central celestial body, constant

c2 =0.5650±0.0015, k2=2.141×10-12.

Finally, according to the limitation of gravity, the specific trajectory of the unknown star was calculated.

(End of this chapter)

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