Chapter 124: The Influence of the Companion Star on Betelgeuse (Part I)

The laboratory fell silent, silent for a while, and Xu Chuan spoke: "Suppose, there is really a companion star in the hydrogen cladding of Betelgeuse, if you simply want to confirm its existence, is there a way?" ”

Hearing this, Liu Xuan raised his head and said, "This may be able to be done, but it depends on how far it is from the core." ”

"You know, astronomically speaking, every star has a different spectrum, and even the same star has a different spectrum at different times."

"Betelgeuse is a red supergiant with a spectrum of M1-M2IA-IAB type, and if there is a companion star in its hydrogen envelope, and the companion star is close to the outer edge of the hydrogen envelope, then the light and radiation of the companion star can be transmitted to the Earth through the outer hydrogen envelope of Betelgeuse, although it may be very weak, but it can still be distinguished and confirmed based on this."

"In addition, things like temperature and luminosity can also be used as auxiliary judgments."

"There must be differences between the surface temperature, luminosity and the temperature luminosity of Betelgeuse, maybe you can search for previous data, maybe there are anomalies in the previous observation data, but no one thinks about this aspect."

"If the companion star really exists, then it must revolve around the inner core of Betelgeuse, with a cycle time."

"Keeping an eye on it should reveal some clues, but it's uncertain how long it will take."

After a pause, Liu Xuan suddenly remembered something, and then asked, "By the way, junior brother, you can calculate the diameter of this companion star, what about the mass?" If the mass can be calculated, it may be possible to roughly infer how far the companion star is from the Betelgeuse core. ”

"Knowing the mass and distance, you can calculate how long its revolution period is."

Xu Chuan: "I don't know yet, I've only calculated the diameter of Betelgeuse, and I'm still uncertain whether there will be two sets of answers in the first set of data when calculating the quality." ”

"Well, find me a quiet room, and I'll try."

Liu Xuan nodded, looked at a middle-aged man who was not one of the several researchers from the Department of Astronomy at NTU, and said, "Director Zhang, look, can you borrow a room for the time being?" ”

When asked, the middle-aged man surnamed Zhang grinned and said, "It's okay, we may not have much to eat and drink here, but there are a lot of free rooms." ”

"This is Xu Chuan, who proved Weyl-Berry's conjecture, I heard that NTU has a mathematical genius that is rare to see in a century, and when I see it today, it really deserves its reputation, and even calculates the volume and mass of distant stars, this is really going to be a breakthrough, it is a revolutionary change for the astronomical community, not to mention a room, even if you live here for a year and a half, it is no problem."

Xu Chuan got up and smiled, and said, "I'm sorry to trouble Director Zhang." ”

"It's okay, it's okay, do you need it now?"

Xu Chuan nodded and said, "Well, this matter should be sooner rather than later." ”

To be honest, he didn't expect that using the xu-weyl-berry theorem to calculate the information of Betelgeuse would make such a fuss.

He thought that as long as the observation information was collected, he would be able to complete the calculation smoothly.

Who would have thought that Betelgeuse's hydrogen cladding might also contain a companion star?

This matter is serious and serious, and it is not serious if it is not serious.

The serious reason is that Betelgeuse is a massive star in its later years, and it may have a supernova explosion at any time in the future.

Although the current astronomical community has calculated that Betelgeuse's magnetic poles are angular to the solar system, even if a supernova explosion does not pose a threat to the solar system, the Gamma ray burst will not be aimed at the Earth.

But with one more companion star, it will be another fog of what kind of changes will occur when the supernova explodes, and no one knows at what angle the Gamma-ray burst will sweep through the universe at that time.

If it's not serious, according to the current calculations of Betelgeuse, its supernova explosion may take thousands of years, tens of thousands of years, or even hundreds of thousands of years.

When this time passes, it is possible that human beings will still be on the earth, and even if they are still there, what does human beings have to do with them at that time.

After all, "I don't care if he floods after I die." ”

Xu Chuan didn't have this kind of thought, he found a problem, and he would definitely find a way to solve it.

Even if it can't be solved, try to figure out the situation of the problem.

.......

Following Director Zhang in front of him, Xu Chuan came to a small room on the third floor of the research institute.

"Is it okay here? This is a laboratory on the side of the observatory, and it is very quiet and easy to think. ”

Director Zhang asked Xu Chuan, turned on the incandescent light in the room, and turned on the air conditioner.

Xu Chuan glanced at the room, there were tables and chairs, then nodded, and said, "It's okay, I'm sorry to trouble Director Zhang." ”

"Harm, what's this, your research is of great significance to our astronomical community, a new method of calculating star information, with it, we can explore the universe and the sea of stars more accurately in the future."

Director Zhang shook his head with a smile, and continued: "Then I won't bother you for the time being, if you need anything, you can come to the 106 office on the first floor to find me." ”

As soon as he walked out of the room, Director Zhang remembered something again, turned around and came back and added: "Oh, by the way, there is one more thing." ”

"Don't forget the time when you do research, there should be a difference between dinner here and your school, it is only served between half past five and seven in the evening, and in the cafeteria next to the first floor, if you miss the time, it will be gone."

"And in this barren mountains and mountains, you can't order takeout, the time is between half past five and seven o'clock, remember it, don't miss it."

Xu Chuan nodded and said, "Well, I know, thank you Director Zhang." ”

"You're welcome."

......

The people from the observatory left, and Xu Chuan touched the table in the laboratory, and a layer of dust fell.

It seems that what Director Zhang said is right, there is indeed no one here usually, and it is very quiet.

After taking a few pieces of toilet paper from his backpack and wiping the tables and chairs, Xu Chuan turned on the computer and called up the observation data of parameter four.

Although the calculation of the diameter and mass of Betelgeuse is also performed using the xu-weyl-berry theorem, some details are different.

He needed to incorporate the mass calculation formula, the law of circular motion, Newton's law of universal gravitation, and luminosity into the Xu-Weyl-Berry theorem, and then deform it again on the basis of the previous one, so that it could be transformed from the Sobolev space fluctuation calculation method to the black-body radiation light cone calculation.

Then, the brightness of the star is used to approximate the boundary value, and then it is brought into the formula to obtain the mass.

If you want to do a lot of calculations, the best way is to build a mathematical model.

However, if you study it alone, there is no need to spend that effort, and it will not be much slower to calculate directly with a pen.

After taking out the manuscript paper from his backpack, Xu Chuan pondered for a while, and then directly reversed the xu-weyl-berry theorem from Sobolev's space fluctuation calculation method.

As for the previous process, there was no need for him to write about it again, those things were in his mind, so clear that it was impossible to forget.

“.... When k→+∞, the asymptotic behavior of the eigenvalue λk. For λ> 0, defined

n(λ)= n(λ,?4,Ω)=]{j |λj 6λ}......”

"Kepler's third law is introduced, at the action range λ~1013cm, |α|<10?9......."

“.......”

“...... When the luminosity is 90000 ~ 1.5x 10^5 l⊙, the corresponding ......"

"Then the asymptotic behavior of λk is equivalent to studying the g function, giving n(λ)=(2π)?nwn|Ω|nλn/2 + o(λn/2)......."

........

In the laboratory of the Yunnan Observatory, Xu Chuan was engrossed in calculating the data in his hands.

This was supposed to be done a few days ago, but the unexpected situation has dragged on until now.

However, with the previous foreshadowing and experience, it can be said that it is convenient to reverse the xu-weyl-berry theorem this time.

In fact, for the reversed Xu-Weyl-Berry theorem, it can be said to be a new calculation formula.

The volume previously used to calculate Betelgeuse was, and now it is used to calculate the mass of parameter IV.

Of course, to be precise, it should be a branch of the Xu-Weyl-Berry theorem formula.

But now, he is the only one who can reverse the xu-weyl-berry theorem so easily.

Even if he had publicly reported on the process of proving the Weyl-Berry conjecture in Princeton, it would not have been easy for others to fully digest and receive, even if it was a Fields Medal winner.

A world-class conjecture, if so easy to understand, would not require six different auditors to audit at the same time.

Although it is to ensure the rigor of the review, it is also to speed up the progress of some audits, after all, everyone understands what they are best at, much faster than one person understands the whole argument process.

......

In the laboratory, Xu Chuan was prostrate at his desk, the black pen in his hand still writing on the manuscript paper.

Suddenly, the mobile phone placed aside vibrated and startled him.

Suddenly interrupted by full attention, even if it is a familiar mobile phone ringtone, it is easy to be frightened.

Coming back to his senses, Xu Chuan breathed a sigh of relief, picked up his phone and turned off the alarm clock.

This was set before he started his work, and the time set was 6 p.m., which is the time for dinner at the observatory.

After all, Director Zhang said before that the time for eating here is fixed, and if you miss it, there will be no more.

Unlike NTU, even if he tosses until one or two o'clock in the morning, he can still order takeout or something.

At the Observatory, order takeout?

Don't make a fuss, the nearest town is more than 30 kilometers away, and there is a woolen takeaway.

So to be on the safe side, he set an alarm clock so he wouldn't miss dinner.

People are iron, rice is steel, and if you don't eat a meal, you will be hungry.

Especially for his kind of work, the energy consumption is extremely fast, and if he doesn't eat dinner, he will be hungry until his stomach hurts at night.

Turning off the alarm clock, Xu Chuan looked at the manuscript paper on the table, he didn't expect that the reversal of the xu-weyl-berry theorem would be so troublesome this time.

The calculation of mass is much more troublesome than the calculation of diameter, even with previous experience, this time he has taken a lot of forks in the road, and more than a dozen manuscript papers on the table have been wasted.

I thought that about four hours should be enough, but I didn't expect that from two o'clock in the afternoon to now, it can be enough to integrate the calculation of the blackbody radiation light cone into the formula, and it is estimated that it will take another two or three hours to toss later.

If it was him before he was reborn, he might not be able to do this.

After all, he was not very good at mathematics before he was reborn, especially in the areas of spectral theory and parted polygons, which he did not specialize in.

Fortunately, after being reborn, he put all his energy into mathematics, otherwise he would not have been able to do this step even if he knew that the xu-weyl-berry theorem could be used to calculate the fluctuations of three-dimensional stars.

In a year and a half, he once again refreshed his understanding of the importance of mathematics as a basic tool in other disciplines.

It can be said that without mathematics, other disciplines should not be developed.

......。