True longitude

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Categories: Celestial mechanics | Orbits | Astrodynamics | Astronomy stubs

In astrodynamics true longitude is the longitude at which an orbiting body could actually be found if its inclination were zero. Together with the inclination and the ascending node, the true longitude can tell us the precise direction from the central object at which the body would be located at a particular time.

Calculation

The true longitude Failed to parse (Missing texvc executable; please see math/README to configure.): l\,

can be calculated as follows:

Failed to parse (Missing texvc executable; please see math/README to configure.): l=\bar{\omega} + \nu\,

where:

Failed to parse (Missing texvc executable; please see math/README to configure.): \bar{\omega}\,

is longitude of orbit's periapsis,

Failed to parse (Missing texvc executable; please see math/README to configure.): \nu\,

is orbit's true anomaly.

v • d • e

Orbits

Orbital parameters

Classical orbital elements
Failed to parse (Missing texvc executable; please see math/README to configure.): i\,\!

    Inclination

Failed to parse (Missing texvc executable; please see math/README to configure.): \Omega\,\!

  Longitude of the ascending node

Failed to parse (Missing texvc executable; please see math/README to configure.): e\,\!

    Eccentricity

Failed to parse (Missing texvc executable; please see math/README to configure.): \omega\,\!

   Argument of periapsis

Failed to parse (Missing texvc executable; please see math/README to configure.): a\,\!

    Semi-major axis

Failed to parse (Missing texvc executable; please see math/README to configure.): M_o\,\!

  Mean anomaly at epoch

Other parameters
Failed to parse (Missing texvc executable; please see math/README to configure.): \nu\,

      True anomaly

Failed to parse (Missing texvc executable; please see math/README to configure.): b\,

         Semi-minor axis

Failed to parse (Missing texvc executable; please see math/README to configure.): \epsilon\,

  Linear eccentricity

Failed to parse (Missing texvc executable; please see math/README to configure.): E\,

              Eccentric anomaly

Failed to parse (Missing texvc executable; please see math/README to configure.): L\,

         Mean longitude

Failed to parse (Missing texvc executable; please see math/README to configure.): l\,

          True longitude

Failed to parse (Missing texvc executable; please see math/README to configure.): T\,

              Orbital period

Types

General	Box · Circular · Non-inclined · Elliptic (Highly elliptical) · Graveyard · Hyperbolic trajectory · Inclined · Osculating · Parabolic trajectory · Capture · Escape · Semi-synchronous · Subsynchronous · Synchronous · Parking
Geocentric	Geosynchronous · Geostationary · Sun-synchronous · Low Earth · Medium Earth · Molniya · Near equatorial · Moon · Polar · Tundra
Other	Areosynchronous · Areostationary · Halo · Lissajous · Lunar · Heliocentric · Heliosynchronous