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...

angular parameters ("anomalies") that define a position along an orbit, the other two being the true anomaly and the mean anomaly. Consider the ellipse...

eccentric anomaly as an intermediate variable, and first compute E as a function of M by solving Kepler's equation below, and then compute the true anomaly θ...

other two being the eccentric anomaly and the true anomaly. The mean anomaly M can be computed from the eccentric anomaly E and the eccentricity e with...

up anomaly or anomalous in Wiktionary, the free dictionary. Anomaly may refer to: Anomaly (natural sciences) Atmospheric anomaly Geophysical anomaly Congenital...

\theta \,} is the true anomaly of the orbiting body, μ {\displaystyle \mu \,} is the standard gravitational parameter. As the true anomaly θ approaches 180°...

equation, which is used to solve for true anomalies in elliptical and hyperbolic trajectories, the true anomaly in Barker's equation can be solved directly...

approach Eccentric anomaly Flyby (spaceflight) Hyperbolic trajectory § Closest approach Mean anomaly Perifocal coordinate system True anomaly "apsis". Dictionary...

orbiting body at any given time. Thus, the true anomaly is shown as the red angle ν in the diagram, and the mean anomaly is not shown. The angles of inclination...

\theta }}} The relation between the true anomaly θ and the eccentric anomaly E (alternatively the hyperbolic anomaly H) is: cosh ⁡ E = cos ⁡ θ + e 1 + e...

vector and the semi-major axis. ν {\displaystyle \nu } is the local true anomaly. ϕ = ν + π 2 − ψ {\displaystyle \phi =\nu +{\frac {\pi }{2}}-\psi } ...

ascending node and the body. It is the sum of the more commonly used true anomaly and argument of periapsis. u = ν + ω {\displaystyle u=\nu +\omega } where...

which defines the shape of the orbit θ {\displaystyle \theta } is the true anomaly, which is the angle between the current position of the orbiting object...

longitude l can be calculated as follows: l = ν + ϖ where: ν is the orbit's true anomaly, ϖ ≡ ω + Ω is the longitude of orbit's periapsis, ω is the argument of...

known planets, was inconsistent with Planet Nine being located with a true anomaly, the location along its orbit relative to perihelion, of −130° to −110°...

its orbit, usually described as adjusting the orbiting spacecraft's true anomaly. Orbital phasing is primarily used in scenarios where a spacecraft in...

the distance over the eccentric anomaly indeed results in the semi-major axis. averaging over the true anomaly (the true orbital angle, measured at the...

In data analysis, anomaly detection (also referred to as outlier detection and sometimes as novelty detection) is generally understood to be the identification...

its orbit, usually described as adjusting the orbiting spacecraft's true anomaly. A space rendezvous is a sequence of orbital maneuvers during which two...

bodies, predict their interactive forces; and consequently, predict their true orbital motions for all future times. The two-body problem has been completely...

is not known. Consequently, most exoplanets found by radial velocity have true masses no more than 40% greater than their minimum masses.[citation needed]...

Argument of periapsis Eccentricity Inclination Mean anomaly Orbital nodes Semi-major axis True anomaly Types of two-body orbits by eccentricity Circular...

{\displaystyle \mathbf {r} } makes with the axis of periapsis (also called the true anomaly). The parameter ℓ {\displaystyle \ell } is the angular momentum of the...

does not include the correction due to the difference between true anomaly and mean anomaly. Also, sometimes the mean longitude (or mean mean longitude)...

essentials of rocket flight physics in a single short equation. It also holds true for rocket-like reaction vehicles whenever the effective exhaust velocity...

is equal to zero. As it is required as a base for the definition of true anomaly, it is usually arbitrarily assumed (as a line pointing into the direction...

equation given above also relates the rate of change in true anomaly to r, v, and φ, thus the true anomaly can be found as a function of time since periapsis...

Argument of periapsis Eccentricity Inclination Mean anomaly Orbital nodes Semi-major axis True anomaly Types of two-body orbits by eccentricity Circular...

influences of other celestial objects. Such variations also include the true placement of the centre of gravity between two astronomical bodies (barycenter)...

important people in the history of aeronautics. Many consider him the first true scientific aerial investigator and the first person to understand the underlying...