According to Kepler's orbital period of a planet, T, with a semi major axis a, around a star of mass M, is,
G is gravitational constant, all quantities converted into SI units
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The apsidal precession due to relativistic effects is during one period of revolution is,
,
Where,
- per 0.15year
so, in rad/s unit the rate of precession is,
8. A certain star has a mass four times that of our Sun. A planet in...
A new extrasolar planet (outside our solar system) has been discovered. This planet orbits a star of mass 1.03×1031 kg with a period of 6.52 years . It is also known that the planet has an eccentricity of 0.694. Part A Part complete What is the semi-major axis of the planet's orbit? View Available Hint(s) Semi−majoraxis= 9.03×1011 m SubmitPrevious Answers Correct Part B What is the average velocity of the planet in its orbit Part C What is the distance of closest approach to its...
3) Consider the planet Mercury which has mass 3.34 x1023 kg, radius 2.44x10 m, semimajor axis 5.79x1010 m, and eccentricity .206. a) What is the acceleration due to gravity on the surface of Mercury? b) What is the escape velocity from the surface of Mercury? c) Calculate the force exerted on Mercury by the sun at its perihelion and appihelion. d) What are the perihelion and appihelion velocities of Mercury? e) What is Mercury's angular momentum at these two locations?...
Planet X has 20 times the mass of the earth and 3 times the earth's radius. It orbits star Y at a distance of 8 AU, where 1 AU is the earth-sun distance. Star Y has twice the mass of our sun. (a) What is the orbital period of Planet X in years? (b) An astronaut has an earth weight of 120 lbs. What is her weight on the surface of planet X?
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 109 million kilometers. Its orbital eccentricity is 0.5. Find the planet's orbital period. Find the planet's nearest orbital distance from its star. Find the planet's farthest orbital distance from its star.
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
1 points SPreCalc7112.065.MI. My Notes Ask Your Teacher The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 207,000,000 km at perihelion and 249,000,000 km at aphelion. Find an equation for the...
Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.97 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.41 times 10^30 kg. Find the radius of the exoplanet's orbit. _____ m
Satellite A has twice the mass of satellite B, and circles in the same orbit. Compare the two satellite's speeds. The speed of B is twice the speed of A. The speed of Bis half the speed of A. A. The speed of Bis one-fourth the speed of A. The speed of B is equal to the speed of A. The speed of Halley's Comet, while traveling in its elliptical orbit around the Sun, O is constant increases as it...
Imagine we find a star that has the same radius as the Sun, but its temperature is 9.6 times greater. That star should be _____ times as luminous as the Sun. Suppose we find a planet with an orbital period of 200 days around a star with the same mass as the Sun, but only 75 percent as luminous. What is the planet’s semi-major axis, in AU?
A)Some comets are in highly elongated orbits that come very close to the sun at perihelion. The distance from one such comet to the center of the sun is 6.00×10^9m at perihelion and 3.00×10^12m at aphelion. For this comet's orbit, find the semi-major axis. B) In 2017 astronomers discovered a planet orbiting the star HATS-43. The orbit of the planet around HATS-43 has semi-major axis 7.41×109m, eccentricity 0.173, and period 4.39 days. Find the distance between HATS-43 and the planet...