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Gauss' method

Index Gauss' method

In orbital mechanics (subfield of celestial mechanics), Gauss's method is used for preliminary orbit determination from at least three observations (more observations increases the accuracy of the determined orbit) of the orbiting body of interest at three different times. [1]

24 relations: Altitude, Angular momentum, Carl Friedrich Gauss, Celestial mechanics, Ceres (dwarf planet), Declination, Earth, Equatorial coordinate system, Flattening, Kepler orbit, Kepler's equation, Lagrange polynomial, Latitude, Least squares, Newton's method, Orbit determination, Orbital mechanics, Orbital Mechanics for Engineering Students, Orbital state vectors, Right ascension, Sidereal time, Slant range, Standard gravitational parameter, Sun.

Altitude

Altitude or height (sometimes known as depth) is defined based on the context in which it is used (aviation, geometry, geographical survey, sport, atmospheric pressure, and many more).

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Angular momentum

In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects.

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Ceres (dwarf planet)

Ceres (minor-planet designation: 1 Ceres) is the largest object in the asteroid belt that lies between the orbits of Mars and Jupiter, slightly closer to Mars' orbit.

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Declination

In astronomy, declination (abbreviated dec; symbol δ) is one of the two angles that locate a point on the celestial sphere in the equatorial coordinate system, the other being hour angle.

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Earth

Earth is the third planet from the Sun and the only astronomical object known to harbor life.

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Equatorial coordinate system

The equatorial coordinate system is a celestial coordinate system widely used to specify the positions of celestial objects.

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Flattening

Flattening is a measure of the compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid) respectively.

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Kepler orbit

In celestial mechanics, a Kepler orbit (or Keplerian orbit) is the motion of one body relative to another, as an ellipse, parabola, or hyperbola, which forms a two-dimensional orbital plane in three-dimensional space.

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Kepler's equation

In orbital mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force.

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Lagrange polynomial

In numerical analysis, Lagrange polynomials are used for polynomial interpolation.

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Latitude

In geography, latitude is a geographic coordinate that specifies the north–south position of a point on the Earth's surface.

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Least squares

The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns.

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Newton's method

In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

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Orbit determination

Orbit determination is the use of a set of techniques for estimating the orbits of objects such as moons, planets, and spacecraft.

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Orbital mechanics

Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.

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Orbital Mechanics for Engineering Students

Orbital Mechanics for Engineering Students is an aerospace engineering textbook by Howard D. Curtis, in its third edition.

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Orbital state vectors

In astrodynamics and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are cartesian vectors of position (\mathbf) and velocity (\mathbf) that together with their time (epoch) (t\) uniquely determine the trajectory of the orbiting body in space.

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Right ascension

Right ascension (abbreviated RA; symbol) is the angular distance measured only eastward along the celestial equator from the Sun at the March equinox to the (hour circle of the) point above the earth in question.

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Sidereal time

Sidereal time is a timekeeping system that astronomers use to locate celestial objects.

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Slant range

In radio electronics, especially radar terminology, slant range is the line-of-sight distance between two points which are not at the same level relative to a specific datum.

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Standard gravitational parameter

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.

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Sun

The Sun is the star at the center of the Solar System.

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Gauss' Method, Gauss's method.

References

[1] https://en.wikipedia.org/wiki/Gauss'_method

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