A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical...
An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 9.00 m/s^2. Determine the orbital period of the satellite. I_o, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 times 10^5 km. From these data, determine the mass of Jupiter. A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding...
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...
PLEASE HELP TO ANSWER THIS LAB ACTIVITY Activity 3: Kepler's Second Law: Objects in elliptical orbits sweep oul equal areas in'equal times. This implies that the orbital speed of a planet around the sun is not uniform - it moves farthest away (known as APHELION). In this section we will calculate the difference in this fastest at the point closest to the sun (known as the PERIHELION) and slowest at the point speed using Pluto as an example. Pluto's orbit...
The orbit of a 1.5 ✕ 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0 AU and perihelion distance of 0.850 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 ✕ 1011 m.) (a)What is its orbital eccentricity? (b)What is its period? (Enter your answer in yr.) (c)At aphelion what is the potential energy (in J) of the comet—Sun system?
2. (10 points) The Hohmann transfer orbit, proposed by Walter Hohmann in 1925, is the most energy- efficient means of traveling from a circular orbit of radius r, to another circular orbit of radius r. The maneuver consists of two engine burns. The first burm places the spacecraft into an elliptical orbit with ri and r2 as the distances of closest and farthest approach (not necessarily respectively). Once the distance rz is reached, a second burn takes the spacecraft into...
The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. ...
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...
(1s equal to pt) A s spacecraft of mass m is in a circular orbit around the Sun with the radius R average Earth-Sun distance. At point A, the spacecraft is firing its thrusters Sun, to point E the tangentially to the closer to the s e trajectory such that it will fall on an elliptical orbit, which will bring it un, to point B. At point B, it once again fires its thrusters tangentially to its ry to go...
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
All questions please 101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...