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Answer : Aphelion because PE = mgh
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Consider a planet following the orbit shown. At which point does the planet have the highest...
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 su...
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...
A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical...
A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding to the perihelion of the ellipse, or the closest point to the Sun, and the arrival planet at the aphelion, or the farthest point from the Sun. (Assume the orbital radius of the Earth is 1.50 times 10^11 m, and the orbital radius of Mars is 2.28 times 10^11 m.) Use Kepler's third law to calculate how long...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
What does it mean for a planet to have an eccentric orbit? Which planet in our...
What does it mean for a planet to have an eccentric orbit? Which planet in our solar system has the greatest eccentric orbit and which has the lowest?
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
Two stars, each of mass M, orbit around their center of mass. The radius of their...
Two stars, each of mass M, orbit around
their center of mass. The radius of their common orbit is r (their
separation is 2r).
A planetoid of mass m (<< M) happens to move along the
axis of the system (the line perpendicular to the orbital plane
which
intersects the center of mass) as shown in the figure.
a. Calculate directly the force on the planetoid if it is
displaced a distance z from the
center of mass (you’ll need...
4. Consider a planet in orbit about a star of mass M. Let the x-y plane...
4. Consider a planet in orbit about a star of mass M. Let the x-y plane correspond to the plane of the orbit, with the star at the origin. In the limit in which the stellar mass greatly exceeds the planetary mass, the planet's radial equation of motion is GM h2 p2 + 73 where h = rė is the planet's constant angular momentum per unit mass, and G is the universal gravitational constant. Here, x = r cos @...
For this assignment, you are challenged to answer a series of questions about a fictional planet,...
For this assignment, you are challenged to answer a series of questions about a fictional planet, Zindau, to demonstrate your understanding of Module Two’s seasonality concepts. Prompt: Our story begins in the Andromeda Galaxy. You are an inhabitant of a planet called Zindau, which is approximately the size of Earth. It orbits a star that is about the same size as the Sun. Further, the distance between these celestial bodies is approximate to the Earth and Sun. However, there are...
Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a...
Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit
around a planet with M=5.20E+24 kg. The orbits are in the plane of
the paper and are drawn to scale.
In the statements below, TE is the total mechanical energy, KE is
the kinetic energy, and PE is the potential energy.
Options are (greater than, less than, equal to)
The TE of Y is .... the TE of X
The KE of X at s is...
Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a...
Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M=6.20E+24 kg. The orbits are in the plane of the paper and are drawn to scale. In the statements below, TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy. The PE of Z at s is .... the PE of X at s The KE of X at m is .... that at r...
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...
A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding to the perihelion of the ellipse, or the closest point to the Sun, and the arrival planet at the aphelion, or the farthest point from the Sun. (Assume the orbital radius of the Earth is 1.50 times 10^11 m, and the orbital radius of Mars is 2.28 times 10^11 m.) Use Kepler's third law to calculate how long...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
Two stars, each of mass M, orbit around
their center of mass. The radius of their common orbit is r (their
separation is 2r).
A planetoid of mass m (<< M) happens to move along the
axis of the system (the line perpendicular to the orbital plane
which
intersects the center of mass) as shown in the figure.
a. Calculate directly the force on the planetoid if it is
displaced a distance z from the
center of mass (you’ll need...
4. Consider a planet in orbit about a star of mass M. Let the x-y plane correspond to the plane of the orbit, with the star at the origin. In the limit in which the stellar mass greatly exceeds the planetary mass, the planet's radial equation of motion is GM h2 p2 + 73 where h = rė is the planet's constant angular momentum per unit mass, and G is the universal gravitational constant. Here, x = r cos @...
Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit
around a planet with M=5.20E+24 kg. The orbits are in the plane of
the paper and are drawn to scale.
In the statements below, TE is the total mechanical energy, KE is
the kinetic energy, and PE is the potential energy.
Options are (greater than, less than, equal to)
The TE of Y is .... the TE of X
The KE of X at s is...
Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M=6.20E+24 kg. The orbits are in the plane of the paper and are drawn to scale. In the statements below, TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy. The PE of Z at s is .... the PE of X at s The KE of X at m is .... that at r...
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