23 relations: Angle, Apsis, Celestial mechanics, Circular orbit, Eccentric anomaly, Elliptic orbit, Epoch (astronomy), Kepler's equation, Kepler's laws of planetary motion, Longitude of the periapsis, Mean longitude, Mean motion, Orbital eccentricity, Orbital elements, Orbital period, Position (vector), Semi-major and semi-minor axes, Series expansion, Speed, Springer Science+Business Media, Standard gravitational parameter, True anomaly, Two-body problem.
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
An apsis (ἁψίς; plural apsides, Greek: ἁψῖδες) is an extreme point in the orbit of an object.
Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects.
A circular orbit is the orbit with a fixed distance around the barycenter, that is, in the shape of a circle.
In orbital mechanics, eccentric anomaly is an angular parameter that defines the position of a body that is moving along an elliptic Kepler orbit.
In astrodynamics or celestial mechanics, an elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the special case of a circular orbit, with eccentricity equal to 0.
In astronomy, an epoch is a moment in time used as a reference point for some time-varying astronomical quantity, such as the celestial coordinates or elliptical orbital elements of a celestial body, because these are subject to perturbations and vary with time.
In orbital mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force.
In astronomy, Kepler's laws of planetary motion are three scientific laws describing the motion of planets around the Sun.
In celestial mechanics, the longitude of the periapsis, also called longitude of the pericenter, of an orbiting body is the longitude (measured from the point of the vernal equinox) at which the periapsis (closest approach to the central body) would occur if the body's orbit inclination were zero.
Mean longitude is the ecliptic longitude at which an orbiting body could be found if its orbit were circular and free of perturbations.
In orbital mechanics, mean motion (represented by n) is the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit which completes in the same time as the variable speed, elliptical orbit of the actual body.
The orbital eccentricity of an astronomical object is a parameter that determines the amount by which its orbit around another body deviates from a perfect circle.
Orbital elements are the parameters required to uniquely identify a specific orbit.
The orbital period is the time a given astronomical object takes to complete one orbit around another object, and applies in astronomy usually to planets or asteroids orbiting the Sun, moons orbiting planets, exoplanets orbiting other stars, or binary stars.
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight-line from O to P. The term "position vector" is used mostly in the fields of differential geometry, mechanics and occasionally vector calculus.
In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the widest points of the perimeter.
In mathematics, a series expansion is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication and division).
In everyday use and in kinematics, the speed of an object is the magnitude of its velocity (the rate of change of its position); it is thus a scalar quantity.
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
In celestial mechanics, the standard gravitational parameter μ of a celestial body is the product of the gravitational constant G and the mass M of the body.
In celestial mechanics, true anomaly is an angular parameter that defines the position of a body moving along a Keplerian orbit.
In classical mechanics, the two-body problem is to determine the motion of two point particles that interact only with each other.