Xueba starts with change

Chapter 136 Asking Questions, Solving Problems (first update, first order)
Binary stars are also called binary stars, a term coined by Herschel, the first president of the Royal Astronomical Society.

A binary star refers more to a physically related binary star system in which two stars each orbit a common center of mass.

As Yang Yiyi said, Altair and Vega are not joint stars.

The boss Herschel also discovered Uranus and its two satellites through a large reflecting telescope designed by himself, and compiled the first double star and multiple star catalog.

Therefore, when Chen Zhou and the others searched for documents, they were the first to think of this person.

The three searched for the required literature according to their respective goals.

[In a binary star system, the gravitational force of one star is provided by the other star, and vice versa.The ratio of their centripetal acceleration is the inverse ratio of their mass...]

Chen Zhou took out the draft paper and recorded this message.

From this, the ratio of the centripetal acceleration of the binary star system in the title can be directly obtained.

[The planet moves in a uniform circular motion around the star, and the distance for the gravitational force is exactly the orbital radius of the planet’s circular motion.However, the gravitational distance in the binary star system is different from the orbital radius of the binary star movement, and the angular velocity and period of the two stars in the binary star system must be the same when they do circular motion.The ratio of their linear velocities is the same as the ratio of their respective orbital radii...]

Yang Yiyi also searched and recorded the corresponding element information.

9 pm.

Chen Zhou, Yang Yiyi, and Fang Jieming began to summarize the collected information.

Afterwards, Chen Zhou began to assist Yang Yiyi in relevant theoretical analysis.

Fang Jieming stepped aside, ready to rest.

For him, all he needs to do now is to ensure rest, and his working time has not yet arrived.

"There is too little information on this question, even the key factors are incomplete." Yang Yiyi said.

Chen Zhou also frowned, then stretched out, and said with a smile: "It doesn't matter, we will proceed according to the information we found. This can be regarded as the test of the competition itself."

Yang Yiyi nodded, pointed at the recorded information with a pen, and analyzed: "There are five types of orbits for planets around binary stars, namely large outer orbits, small outer orbits, eccentric outer orbits, complex outer orbits, and inner orbits."

"And the large outer orbit is the simplest orbit of a planet around a binary star, because the planet is so far away from the binary star that the gravitational pull from the binary star will approximate that of a star with the mass behind them both. In this case, the planet will Simultaneously orbiting a binary star in a generally elliptical orbit."

Chen Zhou thought for a while, and said: "This situation is indeed the simplest, but such a planet will be very far away from the center of mass of the binary star."

"That's right." Yang Yiyi continued, "Among them, the direct and retrograde planets need to be considered..."

Speaking of this, she looked up at Chen Zhou, and said: "Combined with the analysis of other orbits, the amount of calculation involved is huge. I want to share it for you."

Chen Zhou looked at Yang Yiyi, hesitated for a moment, then nodded slowly.

Seeing that Chen Zhou agreed, Yang Yiyi smiled.

The pair went on to analyze the problem of planetary orbits around binary stars.

After peeling off the cocoons, the physical principles are basically clarified.

Then it's time for theoretical calculations.

Chen Zhou raised his hand to look at the time, it was already one o'clock in the morning.

The sound in the computer room was not as noisy as it was at first.

Many people lay down on the computer desk and began to sleep.

Chen Zhou turned his head and glanced at Fang Jieming, who was also lying on the computer desk, and smiled slightly.

Yang Yiyi also turned to look at the senior who seemed to be asleep.

Regarding the calculation of orbits around the double stars, Chen Zhou handed over the large and small outer orbits to Yang Yiyi, and told Yang Yiyi: "Don't force yourself, go to sleep for a while when you're sleepy. Don't worry, leave the problem to me." Let's solve it."

Yang Yiyi nodded slightly.

[A planet orbiting a binary star in a retrograde elliptical orbit with a high eccentricity has a revolution period of about 12.5 times the period of the binary star, and the farthest distance will reach 10 times the distance between the binary stars.And the elliptical orbit will drift around the core of the binary star along the same direction as the planet revolves...]

Chen Zhou started from the eccentric outer orbit and gradually entered the state.

Analyze problems, ask questions, and solve problems.

There is no sense of barriers in thinking, and the calculation is very smooth.

After the problem of the eccentric outer orbit was solved, Chen Zhou was not in a hurry to solve the problem of the complex outer orbit.

Instead, he thought about what Yang Yiyi said earlier about the direct and retrograde planets.

He took a pen and habitually tapped the draft paper.

"Stability?" Chen Zhou thought of the word.

Since a binary star system is called a system, it means that the two stars are in stable orbit around a common center of mass.

Therefore, how to maintain this stability after the planet has stepped in is the key to the problem.

In the final analysis, the ultimate goal of this question is the stable coexistence of binary star systems and planets.

Chen Zhou glanced at Yang Yiyi and patted her lightly.

Yang Yiyi stopped the pen in her hand, looked up at Chen Zhou suspiciously.

Chen Zhou said: "Yiyi, we need to solve the problem of planets moving forward and backward first, so that unnecessary calculations can be reduced."

Yang Yiyi thought for a while, then took a look at her draft paper, and handed it to Chen Zhou.

Chen Zhou took it and looked at it for a while, put down the draft paper, and said, "That's right, it's this thing."

On Yang Yiyi's draft paper, the calculations related to planetary retrograde have been completed, but the calculation of direct motion cannot be carried out stably.

Originally, Yang Yiyi calculated the direct movement of the planets first, but after doing the calculations, she felt a little problematic.

He stopped temporarily and turned to calculate the situation of planetary retrograde.

Yang Yiyi said: "It should be that the planetary retrograde will affect the stability of the binary star system, and eventually lead to the imbalance of the binary star system."

Chen Zhou was a little surprised, she didn't expect that she had already thought of this.

Chen Zhou thought for a while and said, "Let's compare and see who can solve this problem first, how about it?"

Yang Yiyi looked at Chen Zhou, and smiled slightly: "Come on, it's like doing the questions in our summer competition."

At the same time, the two began to search for relevant documents on the computer.

After spending a lot of time, Chen Zhou finally deduced the relevant solution information based on the information he found.

[If this planet is not retrograde but direct, the entire system will not be able to exist stably, and the planet will either be swallowed by the star or fly out.This is because the fluctuations in gravitational field intensity experienced by prograde planets are the same as those experienced by retrograde planets, but with a longer cycle, and a longer cycle will weaken the effect of stabilization and eventually lead to imbalance...]

Chen Zhou glanced at the conclusion written on the draft paper, and when he was about to show it to Yang Yiyi, Yang Yiyi was looking at him from the side.

(End of this chapter)