LAMBERT'S EQUATIONS REVISITED

Abstract

Lambert developed equations relating times of transit between two points in space and the semimajor axis of conics passing through these two points when the two radii and the chord are given. Special types of problems can often best be solved by alternate methods that have been developed, but for a general study of connecting two points in space with a conic section, with no special constraints other than time, Lambert's equations seem to be best suited. This paper represents an expository summary of the mathematical methods and techniques involved.

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Document Details

Document Type
Technical Report
Publication Date
Jul 22, 1963
Accession Number
AD0414658

Entities

People

  • S. R. Marcus

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Artificial Satellites
  • Cartesian Coordinates
  • Celestial Mechanics
  • Computational Science
  • Equations
  • Geometry
  • Hyperbolas
  • Molecular Dynamics
  • Orbital Elements
  • Orbits
  • Space Systems
  • Spacecraft
  • Three Dimensional
  • Trajectories
  • Transfer Orbits
  • United States

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space