10:45 AM - 12:15 PM
[PPS07-P31] Rotating axial tilt of planet derived from precession of the planet
Keywords:Uranus's rotating axial, Virial theorem, Precession, spinning top, Earth's precession, Giant-impact hypothesis
There is a theory that the inclination of a planet's axis of rotation in the solar system is due to one or two collisions of other celestial bodies. However, if the cause of the tilt of the rotation axis is a collision with another celestial body, the planet that was collided after a collision will not stay in the same orbit.
The theory that the planet's axis of rotation is tilted due to precession with a very slow speed will be proposed in this report. According to Kepler's third law, the square of the planet's orbital period T is proportional to the cube of the semi-major axis a of the elliptical orbit (T2=ka 3). The speed of an object in the same orbit is not related to the magnitude of the mass. In addition, the planet grows by collecting the interstellar medium that revolves at the same speed near the orbit of the planet, and the axis of rotation is It is thought that the angle was close to perpendicular to the orbit. The precession can be explained by Virial's theorem, which states that potential energy and kinetic energy are equal in equilibrium.
The rotation axis of Mercury and Jupiter has a small inclination, but Uranus' rotation axis is almost sideways. Uranus now has a temperature difference in the north-south direction, and gravitational distribution in the direction of its rotation axis. Since Uranus is out of position between the axis of rotation and the center of gravity and rotates at high speed, it makes a precession according to the Virial theorem. Since its action was acting for a long time, the axis of rotation of Uranus became in the direction of the Sun.
The strength of the geomagnetic field of Uranus is almost the same as that of the Earth. However, the center of Uranus' magnetic field is significantly offset from the center of the planet, and the axis of its magnetic field is tilted 60° from the axis of rotation. Charged particles inside Uranus, which rotate at high speed, magnetically combine with charged particles moving in the same direction. Therefore, since charged particles that exist inside the magnetosphere move with rotation, charged particles continue to collide with satellites and small bodies in rings. So, the rings of Uranus are also turned sideways.
The center of gravity of the Earth joined with the Moon is different from the center of gravity of the Earth, and part of the energy of the rotation of the Earth causes a 26,000-year period of precession with the direction of the Sun as the axis of rotation. The orbital period of the Moon coincides with the rotation period, and the Moon faces the Earth on the same surface. The rotation speed of the earth slows down due to the tidal force exerted by the moon, which slowly revolves around the earth, which rotates at a high speed. On the other hand, the revolution of the Moon is accelerated by the rotation of the Earth, and the Moon's orbital radius increases. Currently, the distance from the Earth to the Moon is about 380,000 km, and the Moon is about 3.8cm away in one year.
If the recession velocity was the same in past times, 3.8x108 m divided by 3.8x10-2m is 1010, which means that it took 10 billion years. However, when the Moon is close to the Earth, the tidal force is large, and the effect of retreat is great. Assuming the Moon is formed in the Earth's geostationary orbit and recedes from the Earth, a scenario is conceivable in which the precession was born on the Earth.
That is, the Moon had been sibling planet in the Earth's orbit at the beginning, and it grows and repeats small collisions. The Moon became smaller by the collision, and its rotation slowed down. On the other hand, the Earth collided and increased its mass and faster rotation. Therefore, the center of gravity of Moon and Earth has an angular momentum of circular motion, and the gravitational pull of the Sun undergoes periodic changes, which can be the cause of the precession of the Earth. This model of the formation of the Earth and the Moon is more convincing than the conventional giant impact theory of the formation of the Moon.
Reference; S. Karasawa, How rings of outer planets formed and why the rotating axis of icy planet tilted, Academi Letters, 2022.
The theory that the planet's axis of rotation is tilted due to precession with a very slow speed will be proposed in this report. According to Kepler's third law, the square of the planet's orbital period T is proportional to the cube of the semi-major axis a of the elliptical orbit (T2=ka 3). The speed of an object in the same orbit is not related to the magnitude of the mass. In addition, the planet grows by collecting the interstellar medium that revolves at the same speed near the orbit of the planet, and the axis of rotation is It is thought that the angle was close to perpendicular to the orbit. The precession can be explained by Virial's theorem, which states that potential energy and kinetic energy are equal in equilibrium.
The rotation axis of Mercury and Jupiter has a small inclination, but Uranus' rotation axis is almost sideways. Uranus now has a temperature difference in the north-south direction, and gravitational distribution in the direction of its rotation axis. Since Uranus is out of position between the axis of rotation and the center of gravity and rotates at high speed, it makes a precession according to the Virial theorem. Since its action was acting for a long time, the axis of rotation of Uranus became in the direction of the Sun.
The strength of the geomagnetic field of Uranus is almost the same as that of the Earth. However, the center of Uranus' magnetic field is significantly offset from the center of the planet, and the axis of its magnetic field is tilted 60° from the axis of rotation. Charged particles inside Uranus, which rotate at high speed, magnetically combine with charged particles moving in the same direction. Therefore, since charged particles that exist inside the magnetosphere move with rotation, charged particles continue to collide with satellites and small bodies in rings. So, the rings of Uranus are also turned sideways.
The center of gravity of the Earth joined with the Moon is different from the center of gravity of the Earth, and part of the energy of the rotation of the Earth causes a 26,000-year period of precession with the direction of the Sun as the axis of rotation. The orbital period of the Moon coincides with the rotation period, and the Moon faces the Earth on the same surface. The rotation speed of the earth slows down due to the tidal force exerted by the moon, which slowly revolves around the earth, which rotates at a high speed. On the other hand, the revolution of the Moon is accelerated by the rotation of the Earth, and the Moon's orbital radius increases. Currently, the distance from the Earth to the Moon is about 380,000 km, and the Moon is about 3.8cm away in one year.
If the recession velocity was the same in past times, 3.8x108 m divided by 3.8x10-2m is 1010, which means that it took 10 billion years. However, when the Moon is close to the Earth, the tidal force is large, and the effect of retreat is great. Assuming the Moon is formed in the Earth's geostationary orbit and recedes from the Earth, a scenario is conceivable in which the precession was born on the Earth.
That is, the Moon had been sibling planet in the Earth's orbit at the beginning, and it grows and repeats small collisions. The Moon became smaller by the collision, and its rotation slowed down. On the other hand, the Earth collided and increased its mass and faster rotation. Therefore, the center of gravity of Moon and Earth has an angular momentum of circular motion, and the gravitational pull of the Sun undergoes periodic changes, which can be the cause of the precession of the Earth. This model of the formation of the Earth and the Moon is more convincing than the conventional giant impact theory of the formation of the Moon.
Reference; S. Karasawa, How rings of outer planets formed and why the rotating axis of icy planet tilted, Academi Letters, 2022.