Geometrical Interpretation of the Angles CY and B in Lambert's Problem

1979 ◽  
Vol 2 (5) ◽  
pp. 442-443 ◽  
Author(s):  
John E. Prussing
Keyword(s):  
Geometrical Interpretation ◽  
Lambert’S Problem ◽  
Lambert's Problem

scholarly journals Optimal Control Approach to Lambert’s Problem and Gibbs’ Method

2020 ◽  
Vol 10 (7) ◽  
pp. 2419
Author(s):  
Minjeong Kim ◽  
Sungsu Park
Keyword(s):  
Optimal Control ◽  
Pseudospectral Method ◽  
Orbital Energy ◽  
Control Approach ◽  
Control Framework ◽  
Lambert’S Problem ◽  
Computation Algorithm ◽  
Lambert's Problem ◽  
Energy Computation ◽  
Optimal Control Approach

This paper presents the optimal control approach to solve both Lambert’s problem and Gibbs’ method, which are commonly used for preliminary orbit determination. Lambert’s problem is reinterpreted with Hamilton’s principle and is converted to an optimal control problem. Various extended Lambert’s problems are formulated by modifying the weighting and constraint settings within the optimal control framework. Furthermore, Gibbs’ method is also converted to an extended Lambert’s problem with two position vectors and one orbit energy with the help of the proposed orbital energy computation algorithm. The proposed extended Lambert’s problem and Gibbs’ method are numerically solved with the Lobatto pseudospectral method, and their accuracies are verified by numerical simulations.

Spiral Lambert’s Problem

2016 ◽  
Vol 39 (10) ◽  
pp. 2250-2263 ◽  
Author(s):  
Javier Roa ◽  
Jesús Peláez ◽  
Juan Senent
Keyword(s):  
Lambert’S Problem ◽  
Lambert's Problem

Solving the relative Lambert's problem and accounting for its singularities

2014 ◽  
Vol 97 ◽  
pp. 122-129 ◽  
Author(s):  
Changxuan Wen ◽  
Yushan Zhao ◽  
Baojun Li ◽  
Peng Shi
Keyword(s):  
Lambert’S Problem ◽  
Lambert's Problem

scholarly journals Solution of Lambert's problem for short arcs

1970 ◽  
Vol 2 (1) ◽  
pp. 60-63
Author(s):  
E. R. Lancaster
Keyword(s):  
Lambert’S Problem ◽  
Lambert's Problem

scholarly journals On the solution of Lambert's problem by regularization

2018 ◽  
Vol 153 ◽  
pp. 26-38 ◽  
Author(s):  
D. De La Torre ◽  
R. Flores ◽  
E. Fantino
Keyword(s):  
Lambert’S Problem ◽  
Lambert's Problem

Covariance analysis of Lambert's problem via Lagrange's transfer-time formulation

2018 ◽  
Vol 77 ◽  
pp. 765-773 ◽  
Author(s):  
Gang Zhang ◽  
Di Zhou ◽  
Daniele Mortari ◽  
Maruthi R. Akella
Keyword(s):  
Covariance Analysis ◽  
Transfer Time ◽  
Lambert’S Problem ◽  
Time Formulation ◽  
Lambert's Problem

Feedback-Accelerated Picard Iteration for Orbit Propagation and Lambert’s Problem

2017 ◽  
Vol 40 (10) ◽  
pp. 2442-2451 ◽  
Author(s):  
Xuechuan Wang ◽  
Xiaokui Yue ◽  
Honghua Dai ◽  
Satya N. Atluri
Keyword(s):  
Picard Iteration ◽  
Orbit Propagation ◽  
Lambert’S Problem ◽  
Lambert's Problem
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