In celestial mechanics, true anomaly is an angular parameter that defines the position of a body moving along a Keplerian orbit. It is the angle between the direction of periapsis and the current position of the body, as seen from the main focus of the ellipse (the point around which the object orbits).

The true anomaly is usually denoted by the Greek letters or , or the Latin letter .

As shown in the image, the true anomaly is one of three angular parameters ("anomalies") that defines a position along an orbit, the other two being the eccentric anomaly and the mean anomaly. Note that the satellite P orbits around the planet which is at position F.

Formulas

From state vectors

For elliptic orbits true anomaly can be calculated from orbital state vectors as:

where:

is orbital velocity vector of the orbiting body,

is eccentricity vector,

is orbital position vector (segment fp) of the orbiting body.

Circular orbit

For circular orbits the true anomaly is undefined because circular orbits do not have a uniquely determined periapsis. Instead one uses the argument of latitude :

"True..." is the first single by Riyu Kosaka. It was released on October 17, 2001. It features her solo track True..., which debuted on Konami's DDRMAX Dance Dance Revolution 6thMix. It also features a cover of BeForU's Dive, entitled Dive to the Night.

Track listing

References

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Hilary Erhard Duff (born September 28, 1987) is an American actress and singer. Duff began her acting career at a young age, and quickly became labeled a teen idol as the starring titular character in the television series Lizzie McGuire (2001–04). The series proved to be a hit, leading to a film adaptation of the series to be released. Duff began working on numerous projects with the Disney channel, including the film Cadet Kelly (2002). She later began work on an album, releasing the Christmas themed Santa Claus Lane (2002) through Walt Disney Records. Upon signing with Hollywood Records, Duff began working on her second studio album, Metamorphosis (2003). The album achieved critical and commercial success, topping the Billboard 200 and selling over three million copies in the United States alone. The album also found success in both Canada and Japan. Duff's success in both acting and music led to her becoming a household name, with merchandise such as dolls, clothing, and fragrances being released.

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Miho Karasawa (唐沢 美帆, Karasawa Miho, born July 15, 1983) is a Japanese singer from Tokyo who was previously signed to Horipro and is currently signed to Lantis. Since 2014, she performs under the stage name True (stylized as TRUE). She has performed theme songs for Buddy Complex, Gargantia on the Verdurous Planet,Maria the Virgin Witch, and Sound! Euphonium, among others. Karasawa made her debut in 2000 with the release of the song "Anytime, Anywhere".

References

External links