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Geocentric orbit

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Orbit around Earth
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Ageocentric orbit,Earth-centered orbit, orEarth orbit involves any objectorbitingEarth, such as theMoon orartificial satellites. In 1997,NASA estimated there were approximately 2,465 artificial satellite payloads orbiting Earth and 6,216 pieces ofspace debris as tracked by theGoddard Space Flight Center.[1] More than 16,291 objects previously launched have undergoneorbital decay andenteredEarth's atmosphere.[1]

A spacecraft enters orbit when itscentripetalacceleration due togravity is less than or equal to thecentrifugal acceleration due to the horizontal component of its velocity. For alow Earth orbit, this velocity is about 7.8 km/s (28,100 km/h; 17,400 mph);[2] by contrast, the fastest crewed airplane speed ever achieved (excluding speeds achieved by deorbiting spacecraft) was 2.2 km/s (7,900 km/h; 4,900 mph) in 1967 by theNorth American X-15.[3] The energy required to reach Earth orbital velocity at analtitude of 600 km (370 mi) is about 36 MJ/kg, which is six times the energy needed merely to climb to the corresponding altitude.[4]

Spacecraft with aperigee below about 2,000 km (1,200 mi) are subject to drag from the Earth's atmosphere,[5] which decreases the orbital altitude. The rate of orbital decay depends on the satellite's cross-sectional area and mass, as well as variations in the air density of the upper atmosphere. Below about 300 km (190 mi), decay becomes more rapid with lifetimes measured in days. Once a satellite descends to 180 km (110 mi), it has only hours before it vaporizes in the atmosphere.[6] Theescape velocity required to pull free of Earth's gravitational field altogether and move into interplanetary space is about 11.2 km/s (40,300 km/h; 25,100 mph).[7]

List of terms and concepts

[edit]
The following words may have more than one definition or other non-Earth specific definition(s).
In the spirit of brevity some of the definitions have been altered ortruncated to reflect only their usage on this page.
Altitude
as used here, the height of an object above the average surface of the Earth's oceans (mean sea level).
Analemma
a term inastronomy used to describe the plot of the positions of the Sun on thecelestial sphere throughout one year. Closely resembles a figure-eight.
Apogee
is the farthest point that a satellite orcelestial body can go from Earth, at which the orbital velocity will be at its minimum.
Eccentricity
a measure of how much an orbit deviates from a perfect circle. Eccentricity is strictly defined for allcircular andelliptical orbits, andparabolic andhyperbolic trajectories.
Equatorial plane
as used here, an imaginaryplane extending from the equator on the Earth to thecelestial sphere.
Escape velocity
as used here, the minimumvelocity an object withoutpropulsion needs to have to move away indefinitely from the Earth. An object at this velocity will enter aparabolic trajectory; above this velocity it will enter ahyperbolic trajectory.
Impulse
theintegral of aforce over the time during which it acts. Measured in (N·sec orlb * sec).
Inclination
theangle between areference plane and anotherplane oraxis. In the sense discussed here thereference plane is the Earth'sequatorial plane.
Orbital arc
an imaginary arc in the sky as seen from any given location on the surface of the Earth.
Orbital characteristics
the six parameters of theKeplerian elements needed to specify that orbit uniquely.
Orbital period
as defined here, time it takes a satellite to make one full orbit around the Earth.
Perigee
is the nearest approach point of a satellite or celestial body from Earth, at which the orbital velocity will be at its maximum.
Sidereal day
the time it takes for acelestial object to rotate 360°. For the Earth this is: 23 hours, 56 minutes, 4.091 seconds.
Solar time
as used here, the local time as measured by asundial.
Velocity
an object's speed in a particular direction. Since velocity is defined as avector, both speed and direction are required to define it.

Types

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The following is a list of different geocentric orbit classifications.

Altitude classifications

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Low (cyan) and Medium (yellow) Earth orbit regions to scale. The black dashed line is the geosynchronous orbit. The green dashed line is the 20,230 km orbit used forGPS satellites.

Transatmospheric orbit (TAO)
Geocentric orbits with altitudes atapogee higher than 100 km (62 mi) andperigee that intersects with thedefined atmosphere.[8]
Low Earth orbit (LEO)
Geocentric orbits ranging in altitude from 160 km (100 mi) to 2,000 km (1,200 mi) abovemean sea level. At 160 km, one revolution takes approximately 90 minutes, and the circular orbital speed is 8 km/s (26,000 ft/s).
Medium Earth orbit (MEO)
Geocentric orbits with altitudes at apogee ranging between 2,000 km (1,200 mi) and that of thegeosynchronous orbit at 35,786 km (22,236 mi).
Geosynchronous orbit (GSO)
Geocentric circular orbit with an altitude of 35,786 km (22,236 mi). The period of the orbit equals onesidereal day, coinciding with the rotation period of the Earth. The speed is approximately 3 km/s (9,800 ft/s).
High Earth orbit (HEO)
Geocentric orbits with altitudes at apogee higher than that of the geosynchronous orbit. A special case of high Earth orbit is thehighly elliptical orbit, where altitude at perigee is less than 2,000 km (1,200 mi).[9]

Inclination classifications

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Inclined orbit
An orbit whoseinclination in reference to theequatorial plane is not 0.
Polar orbit
A satellite that passes above or nearly above both poles of the planet on each revolution. Therefore it has an inclination of (or very close to) 90degrees.
Polar Sun synchronous orbit
A nearlypolar orbit that passes theequator at the same local time on everypass. Useful for image-taking satellites because shadows will be the same on every pass.

Eccentricity classifications

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Circular orbit
An orbit that has aneccentricity of 0 and whose path traces a circle.
Elliptic orbit
An orbit with aneccentricity greater than 0 and less than 1 whose orbit traces the path of anellipse.
Hohmann transfer orbit
An orbital maneuver that moves a spacecraft from onecircular orbit to another using two engineimpulses. This maneuver was named afterWalter Hohmann.
Geosynchronous transfer orbit (GTO)
A geocentric-elliptic orbit where theperigee is at the altitude of alow Earth Orbit (LEO) and theapogee at the altitude of ageosynchronous orbit.
Highly elliptical orbit (HEO)
Geocentric orbit with apogee above 35,786 km and low perigee (about 1,000 km) that result in long dwell times near apogee.
Molniya orbit
Ahighly elliptical orbit withinclination of 63.4° andorbital period of ½ of asidereal day (roughly 12 hours). Such a satellite spends most of its time over a designated area of the Earth.
Tundra orbit
Ahighly elliptical orbit withinclination of 63.4° andorbital period of onesidereal day (roughly 24 hours). Such a satellite spends most of its time over a designated area of the Earth.
Hyperbolic trajectory
An "orbit" with eccentricity greater than 1. The object'svelocity reaches some value in excess of theescape velocity, therefore it will escape the gravitational pull of the Earth and continue to travelinfinitely with a velocity (relative to Earth) decelerating to some finite value, known as thehyperbolic excess velocity.
Escape Trajectory
This trajectory must be used to launch an interplanetary probe away from Earth, because the excess over escape velocity is what changes itsheliocentric orbit from that of Earth.
Capture Trajectory
This is the mirror image of the escape trajectory; an object traveling with sufficient speed, not aimed directly at Earth, will move toward it and accelerate. In the absence of a decelerating engine impulse to put it into orbit, it will follow the escape trajectory after periapsis.
Parabolic trajectory
An "orbit" with eccentricity exactly equal to 1. The object'svelocity equals theescape velocity, therefore it will escape the gravitational pull of the Earth and continue to travel with a velocity (relative to Earth) decelerating to 0. A spacecraft launched from Earth with this velocity would travel some distance away from it, but follow it around the Sun in the sameheliocentric orbit. It is possible, but not likely that an object approaching Earth could follow a parabolic capture trajectory, but speed and direction would have to be precise.

Directional classifications

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Prograde orbit
an orbit in which the projection of the object onto the equatorial plane revolves about the Earth in the same direction as the rotation of the Earth.
Retrograde orbit
an orbit in which the projection of the object onto the equatorial plane revolves about the Earth in the direction opposite that of the rotation of the Earth.

Geosynchronous classifications

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Semi-synchronous orbit (SSO)
An orbit with an altitude of approximately 20,200 km (12,600 mi) and anorbital period of approximately 12 hours
Geosynchronous orbit (GEO)
Orbits with an altitude of approximately 35,786 km (22,236 mi). Such a satellite would trace ananalemma (figure 8) in the sky.
Geostationary orbit (GSO)
Ageosynchronous orbit with aninclination of zero. To an observer on the ground this satellite would appear as a fixed point in the sky.
Clarke orbit
Another name for a geostationary orbit. Named after the writerArthur C. Clarke.
Earth orbitallibration points
Thelibration points for objects orbiting Earth are at 105 degrees west and 75 degrees east. More than 160 satellites are gathered at these two points.[10]
Supersynchronous orbit
A disposal / storage orbit above GSO/GEO. Satellites will drift west.
Subsynchronous orbit
A drift orbit close to but below GSO/GEO. Satellites will drift east.
Graveyard orbit, disposal orbit, junk orbit
An orbit a few hundred kilometers abovegeosynchronous that satellites are moved into at the end of their operation.

Special classifications

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Sun-synchronous orbit
An orbit which combines altitude andinclination in such a way that the satellite passes over any given point of theplanet's surface at the same localsolar time. Such an orbit can place a satellite in constant sunlight and is useful for imaging,spy, andweather satellites.
Moon orbit
Theorbital characteristics of Earth's Moon. Average altitude of 384,403 kilometres (238,857 mi),ellipticalinclined orbit.

Non-geocentric classifications

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Horseshoe orbit
An orbit that appears to a ground observer to be orbiting a planet but is actually inco-orbit with it. See asteroids3753 (Cruithne) and2002 AA29.
Sub-orbital flight
A launch where aspacecraft approaches the height of orbit but lacks thevelocity to sustain it.

Tangential velocities at altitude

[edit]
OrbitCenter-to-center
distance
Altitude above
the Earth's surface
SpeedOrbital periodSpecific orbital energy
Earth's own rotation at surface on the equator (for compari­son; not an orbit)6,378 km0 km465.1 m/s (1,674 km/h or 1,040 mph)23 h 56 min 4.09 sec−62.6 MJ/kg
Orbiting at Earth's surface (equator) theoretical6,378 km0 km7.9 km/s (28,440 km/h or 17,672 mph)1 h 24 min 18 sec−31.2 MJ/kg
Low Earth orbit6,600 – 8,400 km200 – 2,000 km
  • Circular orbit: 7.7–6.9 km/s (27,720–24,840 km/h or 17,224–15,435 mph) respectively
  • Elliptic: 10.07–8.7 km/s respectively
1 h 29 min – 2 h 8 min−29.8 MJ/kg
Molniya orbit6,900 – 46,300 km500 – 39,900 km1.5–10.0 km/s (5,400–36,000 km/h or 3,335–22,370 mph) respectively11 h 58 min−4.7 MJ/kg
Geostationary42,000 km35,786 km3.1 km/s (11,600 km/h or 6,935 mph)23 h 56 min 4.09 sec−4.6 MJ/kg
Orbit of the Moon363,000 – 406,000 km357,000 – 399,000 km0.97–1.08 km/s (3,492–3,888 km/h or 2,170–2,416 mph) respectively27.27 days−0.5 MJ/kg
The lower axis gives orbital speeds of some orbits.

See also

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References

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  1. ^ab"Satellite Situation Report, 1997". NASAGoddard Space Flight Center. 2000-02-01. Archived fromthe original on 2006-08-23. Retrieved2006-09-10.
  2. ^Hill, James V. H. (April 1999),"Getting to Low Earth Orbit",Space Future, archived fromthe original on 2012-03-19, retrieved2012-03-18.
  3. ^Shiner, Linda (November 1, 2007),X-15 Walkaround, Air & Space Magazine, retrieved2009-06-19.
  4. ^Dimotakis, P.; et al. (October 1999),100 lbs to Low Earth Orbit (LEO): Small-Payload Launch Options, The Mitre Corporation, pp. 1–39, archived fromthe original on 2017-08-29, retrieved2012-01-21.
  5. ^Ghosh, S. N. (2000),Atmospheric Science and Environment, Allied Publishers, pp. 47–48,ISBN 978-8177640434
  6. ^Kennewell, John; McDonald, Andrew (2011),Satellite Lifetimes and Solar Activity, Commonwealth of Australia Bureau of Weather, Space Weather Branch,archived from the original on 2011-12-28, retrieved2011-12-31.
  7. ^Williams, David R. (November 17, 2010),"Earth Fact Sheet",Lunar & Planetary Science, NASA,archived from the original on October 30, 2010, retrieved2012-05-10.
  8. ^McDowell, Jonathan (24 May 1998)."Jonathan's Space Report".Transatmospheric orbit (TAO): orbital flight with perigee less than 80 km but more than zero. Potentially used by aerobraking missions and transatmospheric vehicles, also in some temporary phases of orbital flight (e.g. STS pre OMS-2, some failures when no apogee restart)
  9. ^Definitions of geocentric orbits from the Goddard Space Flight CenterArchived May 27, 2010, at theWayback Machine
  10. ^Out-of-Control Satellite Threatens Other Nearby Spacecraft, by Peter B. de Selding, SPACE.com, 5/3/10.Archived May 5, 2010, at theWayback Machine

External links

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