Calculate how long it would take the Earth to fall into the Sun if its orbital...
Calculate how long it would take the Earth to fall into the Sun if its orbital motion were stopped. Then, instead of the Earth, imagine a second 1 solar mass star orbiting the Sun. Start with the equations of motion and calculate how long it would take for the two stars to crash into each other.
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Calculate how long it would take the Earth to fall into the Sun
if its orbital...
How long does it take light to travel from the Sun to the Earth? The Sun’s...
How long does it take light to travel from the Sun to the Earth? The Sun’s nearest neighbor among the stars, a dim little star called Proxima Centauri, is at a distance of 1.295 parsecs from us. How long does it take light to travel from Proxima Centauri to the Earth?
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
How close would an Earth-mass planet have to be to the star so that the planet’s...
How close would an Earth-mass planet have to be to the star so
that the planet’s radial velocity would exceed the natural 1 ms-1
radial velocity jitter by a factor of 2?
How long would the year be if the planet were this close to the
Sun?
3) (10 pts) The spectral lines of a 1 solar mass star have a random noise shift of ~1 ms due to the effects turbulence in the star. How close would an Earth-mass...
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets...
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. The following problem relates to one of these planets that follows circular orbit around its star....
1 What is the Earth's orbital speed as it orbits the Sun. Take the Earth/Sun distance...
1 What is the Earth's orbital speed as it orbits the Sun. Take the Earth/Sun distance to be 93 million miles (taking the Earth's orbit to be circular), the mass of the Earth to be 5.97 X 102 kg and the mass of the Sun to be 1.987 X 10*0 kg. Solve this problem using Newton's 2nd law directly 2. A 55.7 kg mass is lifted (at a constant velocity) from the ground to a vertical height of 1275 m....
The nearest star to Earth besides the Sun is Proxima Centauri, which is a distance of...
The nearest star to Earth besides the Sun is Proxima Centauri, which is a distance of approximately 4 light years away. A planet that may be able to sustain liquid water on its surface was discovered in 2016 orbiting Proxima Centauri. According to observers on Earth, a spaceship that travels at 0.9c should be able to reach the planet in 3.6 years. How long would the trip take according to astronauts on board the spaceship?
f) in vacuum, light travels at about 186,282 miles per second. One mile is about 161...
f) in vacuum, light travels at about 186,282 miles per second. One mile is about 161 kilometers (km). Astronomers prefer to use units of distance that are reasonable in describing how far objects are from Earth. For example, for distances in the solar system we use the astronomical unit (AU), which is equal to the average distance of Earth from the Sun; 1 AU is about 150 million km. For distances to stars and galaxies, astronomers use the light-year (1...
ASTRONOMY 4. Suppose we make a scale model of the Solar System in which the model...
ASTRONOMY
4. Suppose we make a scale model of the Solar System in which the model Earth is 1 centimeter in radius (about the size of a piece of candy). The real Earth is 6.4x10"cm in radius. Jupiter is 7.1x10°cm in radius. How big must the scale model version of Jupiter be in order to be the right size relative to the Earth? 5. Kepler's Third Law of planetary motion relates the time, P, i takes a planet to complete...
How long does it take the Sun to deliver to Earth the total amount of energy...
How long does it take the Sun to deliver to Earth the total amount of energy humankind uses in a year? Please show work and formulas.
HD209458b was discovered in 1999, becoming the first exoplanet to be discovered using the transit method:...
HD209458b was discovered in 1999, becoming the first exoplanet to be discovered using the transit method: this planet’s orbit is oriented just right, so that it regularly passes in front of its star, as seen from Earth. When this happens, it blocks out a portion of the star’s light. If astronomers notice the star’s brightness dipping for a short time over and over with a consistent period, it suggests a planet is responsible. Further observations of the star’s Doppler shift...
How close would an Earth-mass planet have to be to the star so
that the planet’s radial velocity would exceed the natural 1 ms-1
radial velocity jitter by a factor of 2?
How long would the year be if the planet were this close to the
Sun?
3) (10 pts) The spectral lines of a 1 solar mass star have a random noise shift of ~1 ms due to the effects turbulence in the star. How close would an Earth-mass...
1 What is the Earth's orbital speed as it orbits the Sun. Take the Earth/Sun distance to be 93 million miles (taking the Earth's orbit to be circular), the mass of the Earth to be 5.97 X 102 kg and the mass of the Sun to be 1.987 X 10*0 kg. Solve this problem using Newton's 2nd law directly 2. A 55.7 kg mass is lifted (at a constant velocity) from the ground to a vertical height of 1275 m....
The nearest star to Earth besides the Sun is Proxima Centauri, which is a distance of approximately 4 light years away. A planet that may be able to sustain liquid water on its surface was discovered in 2016 orbiting Proxima Centauri. According to observers on Earth, a spaceship that travels at 0.9c should be able to reach the planet in 3.6 years. How long would the trip take according to astronauts on board the spaceship?
f) in vacuum, light travels at about 186,282 miles per second. One mile is about 161 kilometers (km). Astronomers prefer to use units of distance that are reasonable in describing how far objects are from Earth. For example, for distances in the solar system we use the astronomical unit (AU), which is equal to the average distance of Earth from the Sun; 1 AU is about 150 million km. For distances to stars and galaxies, astronomers use the light-year (1...
ASTRONOMY
4. Suppose we make a scale model of the Solar System in which the model Earth is 1 centimeter in radius (about the size of a piece of candy). The real Earth is 6.4x10"cm in radius. Jupiter is 7.1x10°cm in radius. How big must the scale model version of Jupiter be in order to be the right size relative to the Earth? 5. Kepler's Third Law of planetary motion relates the time, P, i takes a planet to complete...
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