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Lambert's problem

Index Lambert's problem

In celestial mechanics, Lambert's problem is concerned with the determination of an orbit from two position vectors and the time of flight, posed in the 18th century by Johann Heinrich Lambert and formally solved with mathematical proof by Joseph-Louis Lagrange. [1]

Table of Contents

  1. 15 relations: Boundary value problem, Celestial mechanics, Conic section, Differential equation, Ellipse, Global Positioning System, Gravity, Hyperbola, Johann Heinrich Lambert, Joseph-Louis Lagrange, Kepler orbit, Orbit determination, Orbital pole, Patched conic approximation, Two-body problem.

Boundary value problem

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions.

See Lambert's problem and Boundary value problem

Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space.

See Lambert's problem and Celestial mechanics

Conic section

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. Lambert's problem and conic section are conic sections.

See Lambert's problem and Conic section

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

See Lambert's problem and Differential equation

Ellipse

In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. Lambert's problem and ellipse are conic sections.

See Lambert's problem and Ellipse

Global Positioning System

The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radio navigation system owned by the United States government and operated by the United States Space Force.

See Lambert's problem and Global Positioning System

Gravity

In physics, gravity is a fundamental interaction which causes mutual attraction between all things that have mass.

See Lambert's problem and Gravity

Hyperbola

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. Lambert's problem and hyperbola are conic sections.

See Lambert's problem and Hyperbola

Johann Heinrich Lambert

Johann Heinrich Lambert (Jean-Henri Lambert in French; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse, generally identified as either Swiss or French, who made important contributions to the subjects of mathematics, physics (particularly optics), philosophy, astronomy and map projections.

See Lambert's problem and Johann Heinrich Lambert

Joseph-Louis Lagrange

Joseph-Louis Lagrange (born Giuseppe Luigi Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an Italian mathematician, physicist and astronomer, later naturalized French.

See Lambert's problem and Joseph-Louis Lagrange

Kepler orbit

In celestial mechanics, a Kepler orbit (or Keplerian orbit, named after the German astronomer Johannes Kepler) 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. Lambert's problem and Kepler orbit are orbits.

See Lambert's problem and Kepler orbit

Orbit determination

Orbit determination is the estimation of orbits of objects such as moons, planets, and spacecraft. Lambert's problem and orbit determination are astrodynamics and orbits.

See Lambert's problem and Orbit determination

Orbital pole

An orbital pole is either point at the ends of the orbital normal, an imaginary line segment that runs through a focus of an orbit (of a revolving body like a planet, moon or satellite) and is perpendicular (or normal) to the orbital plane. Lambert's problem and orbital pole are orbits.

See Lambert's problem and Orbital pole

Patched conic approximation

In astrodynamics, the patched conic approximation or patched two-body approximation is a method to simplify trajectory calculations for spacecraft in a multiple-body environment. Lambert's problem and patched conic approximation are astrodynamics.

See Lambert's problem and Patched conic approximation

Two-body problem

In classical mechanics, the two-body problem is to predict the motion of two massive objects which are abstractly viewed as point particles. Lambert's problem and two-body problem are orbits.

See Lambert's problem and Two-body problem

References

[1] https://en.wikipedia.org/wiki/Lambert's_problem

Also known as Lambert's problem of orbital mechanics.