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Molniya orbit

 
Molniya Orbit

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Molniya orbit



 
 
A Molniya orbit is a type of highly elliptical orbit
Highly Elliptical Orbit

Highly Elliptical Orbit is an elliptic orbit characterized by a relatively low-altitude perigee and an extremely high-altitude apogee. These extremely elongated orbits can have the advantage of long dwell times at a point in the sky during the approach to and descent from apogee....
 with an inclination
Inclination

Inclination in general is the angle between a reference plane and another plane or Axis_of_rotation of direction. The axial tilt is expressed as the angle made by the planet's axis and a line drawn through the planet's center perpendicular to the orbital plane....
 of 63.4 degree
Degree (angle)

A degree , usually denoted by ? , is a measurement of plane angle, representing 1/360 of a Turn ; one degree is equivalent to p/180 radians....
s and an orbital period
Orbital period

The orbital Periodicity is the time taken for a given object to make one complete orbit about another object.When mentioned without further qualification in astronomy this refers to the sidereal period of an astronomical object, which is calculated with respect to the stars....
 of about 12 hours. Molniya orbits are named after a series of Soviet
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
/Russia
Russia

Russia , or the Russian Federation , is a list of countries spanning more than one continent country extending over much of northern Eurasia....
n Molniya
Molniya (satellite)

Molniya was a military communications satellite system used by the Soviet Union. The satellites were placed into highly Orbital eccentricity elliptical orbits known as Molniya orbits, characterised by an inclination of +63.4 Degree s and a Orbital period of around 12 hours....
 (Russian
Russian language

Russian is the most geographically widespread language of Eurasia, the most widely spoken of the Slavic languages, and the largest native language in Europe....
: "Lightning") communications satellite
Communications satellite

A communications satellite is an artificial satellite stationed in space for the purposes of telecommunications. Modern communications satellites use a variety of orbits including geostationary orbits, Molniya orbits, other elliptical orbits and low Earth orbits....
s which have been using this type of orbit since the mid 1960s.

A satellite placed in a Molniya orbit spends most of its time over a designated area of the earth as a result of "apogee dwell
Apsis

In celestial mechanics, an apsis, plural apsides is the point of greatest or least distance of the elliptical orbit of an object from its center of attraction, which is generally the center of mass of the system....
". Molniya orbits can be computed for any celestial body
Astronomical object

s are significant entity, associations or structures which current science has confirmed to exist in outer space. This does not necessarily mean that more current science will not disprove their existence....
 for which the dominant effects on bodies orbiting
Orbiting body

In astrodynamics, an orbiting body is a body that orbits central body . Under standard assumptions in astrodynamics:* it is less massive than the central body by several orders of magnitude ....
 it are due to:

Properties
Much of the area of the former Soviet Union, and Russia in particular, is located at high latitudes.






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A Molniya orbit is a type of highly elliptical orbit
Highly Elliptical Orbit

Highly Elliptical Orbit is an elliptic orbit characterized by a relatively low-altitude perigee and an extremely high-altitude apogee. These extremely elongated orbits can have the advantage of long dwell times at a point in the sky during the approach to and descent from apogee....
 with an inclination
Inclination

Inclination in general is the angle between a reference plane and another plane or Axis_of_rotation of direction. The axial tilt is expressed as the angle made by the planet's axis and a line drawn through the planet's center perpendicular to the orbital plane....
 of 63.4 degree
Degree (angle)

A degree , usually denoted by ? , is a measurement of plane angle, representing 1/360 of a Turn ; one degree is equivalent to p/180 radians....
s and an orbital period
Orbital period

The orbital Periodicity is the time taken for a given object to make one complete orbit about another object.When mentioned without further qualification in astronomy this refers to the sidereal period of an astronomical object, which is calculated with respect to the stars....
 of about 12 hours. Molniya orbits are named after a series of Soviet
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
/Russia
Russia

Russia , or the Russian Federation , is a list of countries spanning more than one continent country extending over much of northern Eurasia....
n Molniya
Molniya (satellite)

Molniya was a military communications satellite system used by the Soviet Union. The satellites were placed into highly Orbital eccentricity elliptical orbits known as Molniya orbits, characterised by an inclination of +63.4 Degree s and a Orbital period of around 12 hours....
 (Russian
Russian language

Russian is the most geographically widespread language of Eurasia, the most widely spoken of the Slavic languages, and the largest native language in Europe....
: "Lightning") communications satellite
Communications satellite

A communications satellite is an artificial satellite stationed in space for the purposes of telecommunications. Modern communications satellites use a variety of orbits including geostationary orbits, Molniya orbits, other elliptical orbits and low Earth orbits....
s which have been using this type of orbit since the mid 1960s.

A satellite placed in a Molniya orbit spends most of its time over a designated area of the earth as a result of "apogee dwell
Apsis

In celestial mechanics, an apsis, plural apsides is the point of greatest or least distance of the elliptical orbit of an object from its center of attraction, which is generally the center of mass of the system....
". Molniya orbits can be computed for any celestial body
Astronomical object

s are significant entity, associations or structures which current science has confirmed to exist in outer space. This does not necessarily mean that more current science will not disprove their existence....
 for which the dominant effects on bodies orbiting
Orbiting body

In astrodynamics, an orbiting body is a body that orbits central body . Under standard assumptions in astrodynamics:* it is less massive than the central body by several orders of magnitude ....
 it are due to:
  • Secular variation
    Secular variation

    The secular variation of a time series is its long-term non-periodic variation, as opposed to its periodic variation. Of course, whether something is perceived as a secular variation or not depends on the available timescale: what appears to be a secular variation over a time scale of centuries can turn out to be a periodic variation over a...
    s in the longitude of the ascending node
    Longitude of the ascending node

    The longitude of the ascending node is one of the orbital elements used to specify the orbit of an object in space. It is the angle from a reference direction, called the origin of longitude, to the direction of the ascending node, measured in a reference plane....
    ;
  • the argument of perigee
    Argument of periapsis

    The argument of periapsis is the orbital element describing the angle of an orbiting body's apsis , relative to its ascending node . The angle is measured in the orbital plane and in the direction of motion....
     due to the celestial body's oblateness
    Flattening

    The flattening, ellipticity, or oblateness of an oblate spheroid is the "squashing" of the spheroid's Geographical pole, towards its equator....
    .


Properties


Much of the area of the former Soviet Union, and Russia in particular, is located at high latitudes. To broadcast to these latitudes from a geostationary orbit
Geostationary orbit

A geostationary orbit is a geosynchronous orbit directly above the Earth's equator , with a period equal to the Earth's rotational period and an orbital eccentricity of approximately zero....
 would require considerable power due to the low grazing angles
Angle of incidence

Angle of incidence is a measure of deviation of something from "straight on", for example:* in the approach of a ray to a surface, or* the angle at which the wing or Stabilizer of an airplane is installed on the fuselage, measured relative to the axis of the fuselage....
. A polar orbiting satellite is better suited to communications in these regions because it looks directly down on them, but a typical near-circular sun-synchronous orbit
Sun-synchronous orbit

A sun-synchronous orbit is a geocentric orbit which combines altitude and inclination in such a way that an object on that orbit passes over any given point of the Earth's surface at the same local solar time....
 would put the satellite over Russia for short periods of time, during which it would move in two directions, north/south and to the west as the Earth turns, making tracking difficult. Likewise, an inclined equatorial orbit could be used to move the satellite northward on one-half of its orbit, but the satellite would pass over the country very quickly, so although tracking could be reduced to the east-west direction using an equatorial mount
Equatorial mount

An equatorial mount is a mount that has one rotational axis parallel to the Earth's axis of rotation. This type of mount is used with telescopes, satellite dishes, and cameras....
, a large number of satellites would be required to give constant coverage.

The solution to this problem is to make the orbit highly elliptical. The speed of a satellite in its orbit is a function of the distance from the focus, in this case the center of the Earth. So by making the satellite come close to the Earth during one part of its orbit this area will be passed over quite quickly, while at the other side of the orbit, when it is more distant, it will cover the distance slowly. By orbiting eastward, the satellite's angular speed is close to the Earth's rotation speed, and makes its location as seen from the ground move only a small amount for an extended period of time.

Due to the Earth's rotation, the apogee point is different for each orbit. In order to eliminate "useless" apogees when the satellite is far enough north but located too far east or west, the orbits are set up with periods which are some integer fraction or multiple of a day, making their apogee point repeatedly appear over the same location on a schedule. The most typical Molniya-type orbits have a period of 12 hours, making them appear over Russia daily, on every second orbit, for about eight hours. Only three such satellites are needed to give 24 hour coverage. The otherwise similar Tundra orbit
Tundra orbit

Tundra orbit is a type of Highly Elliptical Orbit geosynchronous orbit with a high inclination and an orbital period of one sidereal day . A satellite placed in this orbit spends most of its time over a chosen area of the Earth, a phenomenon known as Apsis dwell....
 has an orbital period of 24 hours.

In general, the oblateness of the earth perturbs
Perturbation (astronomy)

Perturbation is a term used in astronomy to describe alterations to an object's orbit caused by gravity interactions with bodies external to the system formed by the object and its parent body ....
 the argument of perigee, so that even if the apogee started near the north pole, it would gradually move unless constantly corrected with "station keeping" thruster burns. To avoid this expenditure of fuel, the Molniya orbit uses an inclination of 63.4°, for which these perturbations are zero.

Uses


The primary use of the Molniya orbit was for the communications satellite series of the same name. After two launch failures in 1964, the first successful satellite to use this orbit was launched on August 23, 1965. The early Molniya-1 satellites were used for long-range military communications starting in 1968, but the satellites had a short lifespan and had to be constantly replaced. Its replacement, the Molniya-2, provided both military and civilian broadcasting, and was used to create the Orbita
Orbita

Orbita is a Soviet-Russian system of broadcasting and delivering TV signals via satellites. It is considered to be first ever national television network of satellite television....
 television network
Television network

A television network is a distribution wiktionary:Network for television content whereby a central operation provides television program for many television stations....
, spanning the Soviet Union. These were in turn replaced by the Molniya-3 design. There is some confusion in the existing sources about the naming, with some sources suggesting that all of the satellites on-orbit are of the Molniya-3 type, but referred to as Molniya-1 through -3 depending on their purpose.

The same orbits, with slight adjustments, were also used by some Soviet spy satellite
Spy satellite

A spy satellite is an Earth observation satellite or communications satellite deployed for military or espionage applications. These are essentially Space observatory that are pointed toward the Earth instead of toward the stars....
s, with the apogee point over the continental United States (CONUS). Although geostationary orbits are useful for observing CONUS, Soviet sensor technology sometimes required high-contrast observing angles which could only be achieved from higher latitudes. One such example is the US-KS
US-KS (satellite)

The US-KS Oko is the primary Soviet Union early warning satellite, tasked with the detection of rocket launches from the continental United States....
 early-warning satellite which watches for US missile launches, although improvements in these systems have since allowed them to move these to geostationary orbits.

The US has also made some use of the Molniya orbits for spy satellites of their own. The same long loitering time over high latitudes which makes them useful for broadcasting communications in Russia makes them just as useful for listening to Russian communications. Electronic intelligence satellites called Jumpseat
Jumpseat (satellite)

Jumpseat, also known as AFP-711 is reportedly a code name for a class of SIGINT reconnaissance satellites operated by the National Reconnaissance Office for the United States Air Force in the 1970s and 1980s....
 and their successors called Trumpet
Trumpet (satellite)

TRUMPET, called Advanced Jumpseat by some observers, is reportedly a codename for a series of ELINT reconnaissance satellites launched by the United States during the 1990s to replace the Jumpseat satellites....
 are also reported to use Molniya orbits. Another use is the Satellite Data System
Satellite Data System

The Satellite Data System is a system of United States military communications satellites. At least three generations have been used: SDS-1 from 1976 to 1987; SDS-2 from 1989 to 1996; SDS-3 from 1998 to the present....
 (SDS), which relays data from spy satellites operating over Russia back to the US download sites for processing. SDS allows for real-time data collection from the low-flying KH-11
KH-11

The KH-11, also referenced by the codenames 1010, Crystal and Kennan, also commonly known as "Key Hole", was a type of reconnaissance satellite launched by the United States National Reconnaissance Office between December 1976 and 1990 and used until present....
 reconnaissance satellites, passing by in their polar orbits below. Although the KH-11 can also use geostationary relays, these are not useful when passing over high latitudes.

A Molniya orbit is not suitable for manned spacecraft because it repeatedly crosses the high-energy Van Allen belt.

Molniya
Molniya3d

Derivation

In order to ensure that the position of the apogee is not severely affected by orbit perturbations
Perturbation (astronomy)

Perturbation is a term used in astronomy to describe alterations to an object's orbit caused by gravity interactions with bodies external to the system formed by the object and its parent body ....
, an inclination
Inclination

Inclination in general is the angle between a reference plane and another plane or Axis_of_rotation of direction. The axial tilt is expressed as the angle made by the planet's axis and a line drawn through the planet's center perpendicular to the orbital plane....
 close to 63.4 degrees is chosen. This results in the argument of perigee remaining nearly constant for a long period of time.

The change per day of argument of perigee for earth orbits is as follows:

where:
  • is earth's radius,
  • is length of semi-major axis
    Semi-major axis

    In geometry, the semi-major axis is used to describe the dimensions of ellipses and hyperbolae....
    ,
  • is the inclination
    Inclination

    Inclination in general is the angle between a reference plane and another plane or Axis_of_rotation of direction. The axial tilt is expressed as the angle made by the planet's axis and a line drawn through the planet's center perpendicular to the orbital plane....
    , and
  • is orbital eccentricity
    Orbital eccentricity

    In astrodynamics, under standard assumptions in astrodynamics, any orbit must be of conic section shape. The eccentricity of this conic section, the orbit's eccentricity, is an important parameter of the orbit that defines its absolute shape....
    .


The equation becomes zero for an inclination of 63.4 degrees.

See also

  • List of orbits
    List of orbits

    The following is a list of types of Orbit s:...
  • Elliptic orbit
    Elliptic orbit

    In astrodynamics or celestial mechanics an elliptic orbit is a Kepler orbit with the eccentricity greater than 0 and less than 1. In a gravitational two-body problem with the eccentricity in this range both bodies follow Similarity elliptic orbits with the same orbital period around their common barycenter....


External links

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  • (video)