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Retrograde Motion





INHERENT RETROGRADE MOTION

The word ''retrograde'' derives from the Latin words ''retro'', backwards, and ''gradus'', step.

Inherent retrogradation is defined by motion relative to an Axis Of Rotation or orbit.

The ''north , the direction the thumb points is defined to be north.

Similarly, the ''north Rotational Pole '' of a body is defined by the direction of the thumb if one were to wrap the fingers around the body's Equator in the direction it spins.

There are two notations for retrograde motion that are mathematically equivalent: The body can be considered to orbit backwards, or it can be considered to orbit forwards, but with its orbit upside-down. For example, a moon in a retrograde orbit that is inclined from the pole of its planet by 10°, and with a 6-hour orbital period, could be said to have the orbital parameters of:
  • 10° (rightside-up) and −6 h (backwards),

  • in which case no inclination would ever exceed 90° (anything more than 90° would be upside-down), or of:

  • 170° (upside-down) and +6 h (forwards), in which case no period would ever be negative.

  • Similarly, a moon spinning backwards on an axis inclined by 10° from the axis of its orbit can instead be described as being flipped upside-down and spinning forwards.


The choice between these two notations is largely arbitrary. It is more common to keep the period positive and let the inclination vary between 90° and 180° for retrograde motion, and between 0° and 90° for prograde motion, but when this inclination isn't listed, a negative period is the only indication that an orbit or rotation is retrograde. Thus it is common to see negative periods in tables of data. (See Natural Satellite .)


Retrograde orbits


In the Solar System , most bodies orbit in a similar (prograde) direction to the rotation of the Sun . All planets and most smaller bodies orbit the Sun Counterclockwise as seen from a position above the Sun's north pole. The exceptions are mostly Comet s, which generally have highly disturbed orbits.

Similarly, the larger and closer , from the Kuiper Belt. The six irregular moons beyond Triton's orbit are evenly divided between prograde and retrograde; some of these may be original Neptunian moons whose orbits were disturbed by Triton's capture, rather than being captured bodies themselves.


Retrograde rotation


Most planets, including , Uranus , and Pluto . Uranus rotates nearly on its side relative to its orbit. It has been described as having an Axial Tilt of 82° and a negative rotation of −17 hours, or, equivalently, of having an axis tilted at 98° and a positive rotation. Since current speculation is that Uranus started off with a typical prograde orientation and was knocked on its side by a large impact early in its history, it is most commonly described as having the higher axial tilt and positive rotation. (Since Uranus' moons are considered relative to Uranus itself, their description is unaffected by the choice made for the planet.)

Retrograde Venus, on the other hand, has an axial tilt of less than 3°, and a ''very'' slow rotation of 243 days. Perhaps because it is easier to conceive of Venus as rotating slowly backwards than being 'upside down' relative to its near-twin Earth, but also because it is thought that an early massive impact may have resulted in Venus' current rotation while leaving its axis more or less unaffected, Venus is nearly always described as having its axis at 3° and a rotation of −243 days, rather than 177° and +243 days.


APPARENT RETROGRADE MOTION


When we observe the sky, the Sun, Moon, and stars appear to move from East to West because of the rotation of the Earth (so-called Diurnal Motion ). However, objects such as the Space Shuttle and many artificial Satellite s appear to move from west to east. These are direct satellites (they actually orbit the Earth in the same direction as the Moon), but they orbit the Earth faster than the Earth itself rotates, and so appear to move in the opposite direction. Mars has a natural moon, Phobos , with a similar orbit. From the surface of Mars it appears to move in the opposite direction to the Earth's moon (Luna), even though both Phobos and Luna have direct orbits, because its orbital period is less than a Martian day, whereas Luna's orbital period (one month) is longer than a Terrestrial day. There are also smaller numbers of truly retrograde artificial satellites orbiting the Earth which paradoxically appear to move westward, in the same direction as the Moon.

As seen from Earth, the planets beyond Earth's orbit ( Mars , Jupiter , Saturn , Neptune , Uranus , and Pluto ) appear to periodically switch direction as they cross the sky. Though all stars and planets appear to move from east to west on a nightly basis in response to the rotation of Earth, the planets generally drift slowly eastward relative to the stars. This motion is normal for the planets, and so is considered direct motion. However, since Earth completes its orbit in a shorter period of time than the planets outside its orbit, we periodically overtake them, like a faster car on a multi-lane highway. When this occurs, the planet we are passing will first appear to stop its eastward drift, and then drift back toward the west. Then, as Earth swings past the planet in its orbit, it appears to resume its normal motion west to east.

Mars goes through apparent retrogradation every 25.7 months. The more distant outer planets retrograde more frequently. The period between such retrogradations is the Synodic Period of the planet.

This apparent retrogradation puzzled ancient astronomers, and was one reason they named these bodies 'planets' in the first place: 'Planet' comes from the Greek word for 'wanderer'. In the Geocentric Model of the solar system, retrograde motion was explained by having the planets travel in Deferents And Epicycle s. It was not understood to be an optical illusion until the time of Copernicus .


EXAMPLES

Some significant examples of retrograde motion in the Solar System :
  • Venus rotates slowly in the retrograde direction.

  • The Moon s Ananke , Carme , Pasiphaë and Sinope all orbit Jupiter in a retrograde direction. Many other minor moons of Jupiter orbit retrograde.

  • The moon Phoebe orbits Saturn in a retrograde direction, and is thought to be a captured Kuiper Belt object.

  • The moon Triton orbits Neptune in a retrograde direction, and is also thought to be a captured Kuiper Belt object.

  • The planet Uranus has an axial tilt of 98°, which is near to 90°, and can be considered to be rotating in a retrograde direction depending on one's interpretation.



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