physics

Your spacecraft is in a circular, geostationary orbit around earth and you would like to fly to the moon. Draw a suitable Hohmann transfer orbit that will get you there. How long does the journey take? (Neglect the gravitational fields of the moon and the sun for this problem, approximate the lunar orbit by a circle and consider an ideal transfer orbit.)

  1. 👍 0
  2. 👎 0
  3. 👁 199
  1. A geosycnchronous orbit is one with a period equal to the earth's rotational period, which, contrary to popular belief, is 23hr-56min-4.09sec., not 24 hours. Thus, the required altltude providing this period is ~22,238.64 miles, or ~35,787.875 kilometers. The orbital velocity of satellites in this orbit is ~10,088.25 feet per second or ~6,877 MPH. The point on the orbit where the circular velocity of the launching rocket reaches 10,088.25 fps, and shuts down, is the point where the separated satellite will remain.

    The required Hohman Transfer velocity to transfer from the geostationary orbit to the lunar orbit, a mean distance of 239,000 miles away, is 13,544fps. The spacecraft will arrive at the lunar orbit with a velocity of 3340fps, taking ~136 hours to get there.

    Sufficient propulsion capability will be needed to execute an orbital plane change of from ~18.5º to 28.5º.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x squared + y squared + 8x + 6y - 3575=0. A weather satellite circles 0.4 unit above Earth with the center of its

  2. Physics

    The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 X 108 km, and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth, in m/s? (b) What is the

  3. Astronomy

    The Hubble Space Telescope orbits at an altitude of 600 km above the Earth's surface. Assuming it is in a stable circular orbit, what is its velocity? For reference, the Earth's radius is 6400 km and Earth's mass is 6 x 10^24 kg.

  4. Physics

    A communications satellite with a mass of 450 kg is in a circular orbit about the Earth. The radius of the orbit is 2.9×10^4 km as measured from the center of the Earth. Calculate the weight of the satellite on the surface of the

  1. Physics

    Earth speeds along at 29.8 km/s in its orbit. Neptune's nearly circular orbit has a radius of 4.5 x 109 km, and the planet takes 164.8 years to make one trip around the Sun. Calculate the speed at which Neptune plods along in its

  2. Algebra URGENT! Conic sections

    A spacecraft is in a circular orbit 150 kilometers above Earth. Once it attains the velocity needed to escape the Earth's gravity, the spacecraft will follow a parabolic path with the center of Earth as focus. Suppose the

  3. Physics

    The De-orbit Burn The Shuttle must reduce its velocity at a pre-calculated point in its orbit in order to return to Earth. In order to reduce the velocity and change the orbit of the Shuttle, a maneuver called the de-orbit burn is

  4. Physics

    An Earth satellite moves in a circular orbit at a speed of 5800 m/s. a)What is the radius of the satellite's orbit? b) What is the period of the satellites orbit in hours?

  1. Astronomy

    A possible trajectory for sending a spacecraft to Mars is an elliptical orbit with Earth at its perihelion and Mars at its aphelion. The craft would be launched out of low-Earth orbit by a quick burst of rockets into solar orbit,

  2. physics

    When a spacecraft travels from Earth to the Moon, the gravitational force from Earth initially opposes this journey. Eventually, the spacecraft reaches a point where the Moon's gravitational attraction overcomes the Earth's

  3. mit

    A spacecraft of mass m is first brought into an orbit around the earth. The earth (together with the spacecraft) orbits the sun in a near circular orbit with radius R (R is the mean distance between the earth and the sun; it is

  4. physics

    On July 15, 2004, NASA launched the Aura spacecraft to study the earth's climate and atmosphere. This satellite was injected into an orbit 705 {\rm km} above the earth's surface, and we shall assume a circular orbit. How many

You can view more similar questions or ask a new question.