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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. It has important applications in the areas of rendezvous, targeting, guidance, and…

Applications, Practical applications & Solution for an assumed elliptic transfer orbit

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Practical applications

Patched conic approximationOrbit determinationGPS
3 related topics

Solution for an assumed elliptic transfer orbit

Orbital poleUnit vectorTrue anomaly15
4 related topics

Initial geometrical analysis

EllipsesHyperbola
2 related topics

Overview

Celestial mechanicsJohann Heinrich LambertMathematical proofJoseph-Louis LagrangeGravitational force
11 related topics

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Overview

Initial geometrical analysis

Solution for an assumed elliptic transfer orbit

Numerical example

Practical applications

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Lambert's problem

Nodes27
Edges26
Triples37
Avg. degree1.93
Density0.074074
Components1

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Lambert's problem

Top relations

related to External links · 27
Lambert's problem → Alain Albouy, Blanco, Complete Series Solution, Dario Izzo, Eur, Gooding's Procedure, James, Journal, Lagrange's, Lambert, Lambert Problem, Lambert's, Lenox Baloglou, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, MS Excel, Paper, Parneet Gill, Phys
has application · 9
Lambert's problem → By, Earth, GPS, If, Kepler, Lambert's, Mars, The, This
is a · 1
Lambert's problem → boundary value problem for the differential equation r

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Important terminology

displaystyle orbit problem mathbf lambert's time two hyperbola point points times corresponding frac one kepler transfer solution figure axis position

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lambert's problemis aboundary value problem for the differential equation r0.90text
Lambert's problemhas applicationThe0.60section
Lambert's problemhas applicationLambert's0.60section
Lambert's problemhas applicationEarth0.60section
Lambert's problemhas applicationMars0.60section
Lambert's problemhas applicationKepler0.60section
Lambert's problemhas applicationBy0.60section
Lambert's problemhas applicationThis0.60section
Lambert's problemhas applicationIf0.60section
Lambert's problemhas applicationGPS0.60section
Lambert's problemrelated to External linksLambert's0.60section
Lambert's problemrelated to External linksPaper0.60section

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